Survey about the physics of z’ gauge boson Qisheng zhu 11-03-31
Jan 06, 2016
Survey about the physics of zrsquo gauge boson
Qisheng zhu
11-03-31
outline
bull Introductions
bull Models
bull Model independent approach
bull Current constraints
bull Summary and conclusions
Introductions
Motivations
Implications
models
bull Divide into two types
1 Perturbative (E6GLRGSM models)
2 strongly coupled gauge theories
E6 models
bull
bull
bull
bull bull the surviving E6 generator
bull
bull
Generalised left-right symmetry models (GLR)
bull
bull
bull
bull
bull
bull
Generalised sequential models (GSM)
bull
bull
bull
bull
bull
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
outline
bull Introductions
bull Models
bull Model independent approach
bull Current constraints
bull Summary and conclusions
Introductions
Motivations
Implications
models
bull Divide into two types
1 Perturbative (E6GLRGSM models)
2 strongly coupled gauge theories
E6 models
bull
bull
bull
bull bull the surviving E6 generator
bull
bull
Generalised left-right symmetry models (GLR)
bull
bull
bull
bull
bull
bull
Generalised sequential models (GSM)
bull
bull
bull
bull
bull
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Introductions
Motivations
Implications
models
bull Divide into two types
1 Perturbative (E6GLRGSM models)
2 strongly coupled gauge theories
E6 models
bull
bull
bull
bull bull the surviving E6 generator
bull
bull
Generalised left-right symmetry models (GLR)
bull
bull
bull
bull
bull
bull
Generalised sequential models (GSM)
bull
bull
bull
bull
bull
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
models
bull Divide into two types
1 Perturbative (E6GLRGSM models)
2 strongly coupled gauge theories
E6 models
bull
bull
bull
bull bull the surviving E6 generator
bull
bull
Generalised left-right symmetry models (GLR)
bull
bull
bull
bull
bull
bull
Generalised sequential models (GSM)
bull
bull
bull
bull
bull
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
E6 models
bull
bull
bull
bull bull the surviving E6 generator
bull
bull
Generalised left-right symmetry models (GLR)
bull
bull
bull
bull
bull
bull
Generalised sequential models (GSM)
bull
bull
bull
bull
bull
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Generalised left-right symmetry models (GLR)
bull
bull
bull
bull
bull
bull
Generalised sequential models (GSM)
bull
bull
bull
bull
bull
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Generalised sequential models (GSM)
bull
bull
bull
bull
bull
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
table model parameters and couplings
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Strong coupled model
bull Four site higgsless model
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Zrsquo mass and z-zrsquo mixing
bull bull bull bull bull bull bull bull
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
bull
bull
bull
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Zrsquo couplings
bull
bull
bull
bull
bull
bull bull weak angle
bull new gauge coupling
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
bull New chiral coupling
bull bull vector and axial couplings bull bull
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Zrsquo production and decay in the narrow width approximation
bull
bull In the narrow width approximation (NWA)
bull bull The peak cross-section
bull
bull
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull assuming only sm particles in the final states
bull
bull
bull
bull bull Wu Wd only depend on the collider energy and the zrsquo mass bull All the model dependence of the cross-section is therefore containe
d in the two coefficients cu and cd These parameters can be calculated from the couplings and vectoraxial couplings
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Finite width effect
bull the experimental search for an extra Zprime boson and the discrimination of the SM backgrounds could strongly depend on the realistic Zprime width
bull Moreover the theoretical prediction of the Zprime production cross section also depends on its width
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
bull
bull Di-lepton invariant mass distribution for the Zprime boson production in various m
odels at the Tevatron (left panel) andLHC7TeV (right panel)
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
bull
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Current constraints
bull From precision electroweak data Include purely weak ve and v-hadron weak neutral curre
nt (WNC) scattering and weak electromagnetic interference in heavy atoms and in e+-e- and ppbar scattering precision z-pole physics
bull From collider
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
bull
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Constraints from collider
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
bull
bull
bull
bull
bull
bull
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Expected lhc potential at 7TeV to probe Zrsquo models
bull bull
bull the LHC7TeV can extend the limits on Mzrsquo by about 500 GeV when compared to the Tevatron
For example the limit on the SM-like Zprime boson could be extended from 1020 GeV to about 1520 GeV
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull
bull
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Probe the spin
bull a spin-0 particle could correspond to a sneutrino in R-parity violating supersymmetric (SUSY) models A spin-2 resonance could be identified as a Kaluza-Klein (KK) excited graviton in Randall-Sundrum models However a spin-1 Zprime is by far the most common possibility usually considered
bull Following the discovery of a resonance in the di-leptons channels the next step would be to establish its spin-1 nature
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull This can be done by the angular distribution in the resonance rest frame which for spin-1 is
bull bull
where theta is the angle between the incident quark or lepton and fe
rmion f For a hadron collider one does not know which hadron is the source of the q the ambiguity washes out in the determination
of the distribution characteristic of spin 1
bull The spin can also be probed in e+eminus by polarization asymmetries
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
Summary and conclusions
bull Perturbative gauge models and strongly coupled models each class of models is defined in terms of a continuous mixing angle variable
bull in order to facilitate the connection between experimental data and theoretical models we advocated the narrow width approximation
bull the experimental limits on the zrsquo boson cross section can be expressed as contour in the cu-cd plane with a unique contour for each value of zrsquo boson mass
bull the narrow width approximation requires an appropriate di-lepton invariant mass window cut around the mass of zrsquo mass
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect
bull A limitation of this approach is that it ignores the effect of the SUSY and exotics (and right-handed neutrinos) on the width 1048576Zprime
bull Another limitation of our approach is that it ignores the effects of Z minus Zprime mixing which is quite model dependent However such effects must be small due to the constraints from electroweak precision measurements so such effects will not have a major effect