Andreas CrivellinAndreas Crivellin
Albert Einstein Center for Fundamental PhysicsAlbert Einstein Center for Fundamental PhysicsInstitute for Theoretical PhysicsInstitute for Theoretical Physics
University of BernUniversity of Bern
Flavour Phenomenology Flavour Phenomenology of Two-Higgs-Doublet Modelsof Two-Higgs-Doublet Models
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Outline:Outline: Introductions: Introductions:
Yukawa interactions in 2HDMsYukawa interactions in 2HDMs PhenomenologyPhenomenology
Constraints from FCNC processesConstraints from FCNC processes Tauonic B decaysTauonic B decays LFV processesLFV processes
ConclusionsConclusions
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IntroductionIntroductionYukawa interactionsYukawa interactions
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2HDM of type II2HDM of type II(MSSM at tree-level)(MSSM at tree-level)
One Higgs doublet couples One Higgs doublet couples
only to down-quarks only to down-quarks
(and charged leptons), (and charged leptons),
the other Higgs doubletthe other Higgs doublet
couples only to up-quarks.couples only to up-quarks.
2 additional free parameters:2 additional free parameters:
tan(β)=vtan(β)=vuu/v/vdd and the and the
heavy Higgs mass heavy Higgs mass
All flavor-violations is due to the CKM matrix: neutral Higgs-quark couplings are flavor-conserving.eutral Higgs-quark couplings are flavor-conserving.
i
i
qq qm v Y
uH
iuY
fd
dH
idY
fu
id
iu
0 0H A H Hm m m m
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2HDM of type III2HDM of type III Both Higgs doublets couple simultaneously to up and down Both Higgs doublets couple simultaneously to up and down
quarks.quarks.
The parameters describe flavor-changing neutral Higgs The parameters describe flavor-changing neutral Higgs interactionsinteractions
In the MSSM, are induced via loopsIn the MSSM, are induced via loops
uH
ufifd
dH
dfi fuid iu
d d dij d ij u ijm v Y v
,u dij
u u uij u ij d ijm v Y v
,u dij
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PhenomenologyPhenomenology
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Type-II 2HDMType-II 2HDM
Tension from
Allowed Allowed
22σσ regions from: regions from:(superimposed)(superimposed)
b s B K /
B D
sB *B D
*B D
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Type-III: constraints Type-III: constraints from Mfrom M→µ→µ++µµ--
d13,31
0H
d23,32
s
23d
b
d12,21u12,21
B → µB → µ++µµ- - constrainsconstrains
BBss → µ → µ++µµ- - constrainsconstrains
KKLL → µ → µ++µµ- - constrainsconstrains
D → µD → µ++µµ- - constrainsconstrains
and unconstrained
from tree-level FCNCs
32,23u 13,31
u
tan 50
Hm 700 GeV
Hm 500 GeV
Hm 300 GeV
0 0,H A
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Type-III: Constraints Type-III: Constraints from bfrom b→→s(d)s(d)γγ
u23
tan 50
u13
constrains constrains
constrainsconstrains
still still
unconstrainedunconstrained
s d b
Hm 700 GeV
Hm 500 GeV
Hm 300 GeV
u31,32
H
t
b s b d
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Tauonic B decaysTauonic B decays
32u
31u Constructive contribution to B→Constructive contribution to B→τντν using is possible. using is possible.
B→DB→D((**))τν and B→Dτν can be explained simultaneously using .τν and B→Dτν can be explained simultaneously using .Check model viaCheck model via
Allowed Allowed regions from:regions from:
*B D B
B D
0 0,H A tc
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Lepton Flavor violationLepton Flavor violation Correlations between andCorrelations between and
23 320, 0
32 230, 0
32 230, 0
Predicted ratio in the 2HDM of type IIIPredicted ratio in the 2HDM of type III
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Upper limits on Upper limits on lepton flavour lepton flavour
violating B decaysviolating B decays
Excluded by experiment
dB
tan 30 tan 40 tan 50
Allowed regions respecting Allowed regions respecting
the constraints from andthe constraints from and e
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ConclusionsConclusions The 2HDM of type II is disfavored by current data on The 2HDM of type II is disfavored by current data on
tauonic B decaystauonic B decays
In the 2HDM with generic Yukawa structure all off-In the 2HDM with generic Yukawa structure all off-
diagonal elements except must be small.diagonal elements except must be small.
A 2HDM of type III with flavour violation in the up-sector A 2HDM of type III with flavour violation in the up-sector
can explain B→τν, B→Dτν and B→D*τν simultaneously can explain B→τν, B→Dτν and B→D*τν simultaneously
usingusing ..
enhancement of Aenhancement of A00→tc→tc
Interesting correlations between among lepton flavor Interesting correlations between among lepton flavor
violating observables.violating observables.
qij
31,32u
31,32u
