Andreas Crivellin Albert Einstein Center for Fundamental Physics Institute for Theoretical Physics

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