Introduction TBM vs BM The model Results and Conclusions Quark-lepton complementarity in an S 4 Pati Salam inspired scenario Based on work in progress with Federica Bazzocchi and Luca Merlo, hep-ph/0910.xxxx Reinier de Adelhart Toorop, Nikhef, Amsterdam Reinier de Adelhart Toorop Family physics with S 4 and Pati Salam
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Quark-lepton complementarity in an S4 Pati Salam inspired ...theorie.ikp.physik.tu-darmstadt.de/erice/2009/sec/talks/sunday/adelhart.pdfIntroduction TBM vs BM The model Results and
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IntroductionTBM vs BM
The modelResults and Conclusions
Quark-lepton complementarity in an S4 Pati Salaminspired scenario
Based on work in progress with Federica Bazzocchi and Luca Merlo, hep-ph/0910.xxxx
Reinier de Adelhart Toorop, Nikhef, Amsterdam
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
Outline
1 Introduction: family physics
2 TriBiMaximal versus BiMaximal mixing
3 The model
4 Results and Conclusions
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Family physics
Family physics aims to explain the apparentstructure in the fermion mass sector
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Family physics
We charge the families under a symmetry group.
To make the Lagrangian invariant, we need to add Higgs-likefields ’flavons’.
Structure in the VEVs of the flavons leads to structure in thefermion masses. A very good introduction: G. Altarelli, Models of neutrino masses and
mixings; hep-ph/0611117
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Family Physics and Grand Unification
Family symmetries unify the three families.
Grand Unified Theories unify
The gauge couplingsThe SM particles in fewer representations
→
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Family Physics and Grand Unification
Family symmetries unify the three families.
Grand Unified Theories unify
The gauge couplingsThe SM particles in fewer representations
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Family Physics and Grand Unification
Family symmetries unify the three families.
Grand Unified Theories unify
The gauge couplingsThe SM particles in fewer representations
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Family Physics and Grand Unification
Family symmetries unify the three families.
Grand Unified Theories unify
The gauge couplingsThe SM particles in fewer representations
→[ (uR uG uBdR dG dB
)+(ucR uc
G ucB
)+(dcR dcG dcB
)+
(νe
)+(ec)+(νc) ]
SM→
[ (uR uG uB dR dG dB uc
R ucG uc
B dcR dcG dcB ν e ec νc) ]
SO(10)
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Family Physics and Grand Unification
Family symmetries unify the three families.
Grand Unified Theories unify
The gauge couplingsThe SM particles in fewer representations
We like to build models that combine Family Physics andGrand Unification.
→Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Pati-Salam
We use Pati and Salam’sSU(4)c × SU(2)L × SU(2)R
Gauge: not quite unifyingAll SM particles in two representations.The type II seesaw can be dominantThis prevents unwanted correlations between quarks and neutrinos
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Pati-Salam
We use Pati and Salam’sSU(4)c × SU(2)L × SU(2)R
Gauge: not quite unifyingAll SM particles in two representations.The type II seesaw can be dominantThis prevents unwanted correlations between quarks and neutrinos
[ (uR uG uBuR dG dB
) (νe
) ]&
[ (ucR ucG ucB
) (νc)(
dcR dcG dcB) (
ec) ]
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
The idea behind family physicsUnification
Pati-Salam
We use Pati and Salam’sSU(4)c × SU(2)L × SU(2)R
Gauge: not quite unifyingAll SM particles in two representations.The type II seesaw can be dominantThis prevents unwanted correlations between quarks and neutrinos
mIν = −mT
Dir
1
MRRmDir ∝M−1R
mIIν =MLL ∝M−13L
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
TriBiMaximal mixingBiMaximal mixing
TriBiMaximal mixing
Many models use tribimaximal mixing to model the neutrinomixing P. F. Harrison, D. H. Perkins and W. G. Scott, Phys. Lett. B 530 (2002) 167
UTBM =
√
23
1√3
0
− 1√6
1√3− 1√
2
− 1√6
1√3
1√2
θ12 = 35◦, θ13 = 0◦, θ23 = 45◦.
This describes the data really well ...
Data TBM Prediction
Reinier de Adelhart Toorop Family physics with S4 and Pati Salam
IntroductionTBM vs BM
The modelResults and Conclusions
TriBiMaximal mixingBiMaximal mixing
TBM mixing might describe the neutrino data a bit too well.Most models describe the quark mixing poorly at LeadingOrder∗.The Cabibbo angle arises only via NLO effects.Often these NLO effects influence the PMNS as well.
∗ LO is defined as having the lowest number of flavons possible; NLO has one extra flavon