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Flavor Violating Higgs Decays Joachim Kopp Galileo Galilei - - PowerPoint PPT Presentation

Flavor Violating Higgs Decays Joachim Kopp Galileo Galilei Institute November 26, 2012 Based on work done in collaboration with Roni Harnik and Jure Zupan arXiv:1209.1397 Joachim Kopp Flavor Violating Higgs Decays 1 Outline Flavor mixing


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SLIDE 1

Flavor Violating Higgs Decays

Joachim Kopp Galileo Galilei Institute November 26, 2012

Based on work done in collaboration with Roni Harnik and Jure Zupan arXiv:1209.1397

Joachim Kopp Flavor Violating Higgs Decays 1

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SLIDE 2

Outline

1

Flavor mixing in the Higgs sector

2

Couplings to leptons

3

Couplings to quarks

4

Flavor-violating Higgs decays at the LHC

5

Summary

Joachim Kopp Flavor Violating Higgs Decays 2

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SLIDE 3

Flavor Mixing in the Higgs Sector

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SLIDE 4

Motivation

Scenario 1: Several sources of EW symmetry breaking

If fermion masses have more than one origin, they do not need to be aligned with the Yukawa couplings Simplest example: Type III 2-Higgs-Doublet Model LY ⊃ −Y (1)

ij

¯ Liej

RH(1) − Y (2) ij

¯ Liej

RH(2) + h.c.

− → −mi¯ ei

Lei R − Y eff ij ¯

f i

Lf j Rh + couplings to heavier Higgs bosons + h.c.

(h = Lightest neutral Higgs boson, mh ∼ 125 GeV)

Assume heavy Higgs boson are decoupled.

see for instance Davidson Greiner, arXiv:1001.0434

Joachim Kopp Flavor Violating Higgs Decays 4

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SLIDE 5

Motivation (2)

Scenario 2: Extra Higgs couplings

Assume existence of heavy new particles, which induce effective operators of the form ∆LY = − λ′

ij

Λ2 (¯ f i

Lf j R)H(H†H) + h.c. + · · · ,

→ after EWSB, new (but misaligned) contributions to mass matrices and Yukawa couplings Effective Lagrangian is again LY ⊃ −mi¯ ei

Lei R − Y eff ij ¯

f i

Lf j Rh + h.c.

see for instance Giudice Lebedev, arXiv:0804.1753

Joachim Kopp Flavor Violating Higgs Decays 5

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SLIDE 6

Effective Yukawa Lagrangfian

Effective Yukawa Lagrangian

LY = −mi¯ f i

Lf i R − Y a ij (¯

f i

Lf j R)ha + h.c. + · · ·

Previously studied by many authors: Bjorken Weinberg, PRL 38 (1977) 622 McWilliams Li, Nucl. Phys. B 179 (1981) 62 Shanker, Nucl. Phys. B 206 (1982) 253 Barr Zee, PRL 65 (1990) 21 Babu Nandi, hep-ph/9907213 Diaz-Cruz Toscano, hep-ph/9910233 Han Marfatia, hep-ph/0008141 Kanemura Ota Tsumura, hep-ph/0505191 Blanke Buras Duling Gori Weiler, arXiv:0809.1073 Casagrande Goertz Haisch Neubert Pfoh, arXiv:0807.4937 Giudice Lebedev, arXiv:0804.1753 Aguilar-Saavedra, arXiv:0904.2387 Albrecht Blanke Buras Duling Gemmler, arXiv:0903.2415 Buras Duling Gori, arXiv:0905.2318 Azatov Toharia Zhu, arXiv:0906.1990 Agashe Contino, arXiv:0906.1542 Davidson Greiner, arXiv:1001.0434 Goudelis Lebedev Park, arXiv:1111.1715 Blankenburg Ellis Isidori, arXiv:1202.5704 Arhrib Cheng Kong, arXiv:1208.4669 McKeen Pospelov Ritz, arXiv:1208.4597 . . .

Joachim Kopp Flavor Violating Higgs Decays 6

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SLIDE 7

Effective Yukawa Lagrangfian

Effective Yukawa Lagrangian

LY = −mi¯ f i

Lf i R − Y a ij (¯

f i

Lf j R)ha + h.c. + · · ·

New in this talk: Comprehensive list of up-to-date constraints (including subdominant ones) Omit approximations where feasible First LHC limits Strategy for future LHC searches

Joachim Kopp Flavor Violating Higgs Decays 6

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SLIDE 8

Couplings to Leptons

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SLIDE 9

Low-energy constraints on LFV in the Higgs sector

h µ+ e− e+ µ−

Y ∗

eµPL + YµePR

Y ∗

eµPL + YµePR

M– ¯ M oscillations

h N µ N e

Y ∗

µePL + YeµPR

µ–e conversion

τ h τ µ γ µ

Y ∗

µτPL + YτµPR

Y ∗

τµPL + YµτPR

g − 2, EDMs

h τ µ µ µ

Y ∗

τµPL + YµτPR

Y ∗

µµPL + YµµPR

τ → 3µ, µee, etc.

τ h τ τ γ µ

Y ∗

ττPL + YττPR

Y ∗

τµPL + YµτPR

µ h γ, Z t t τ γ µ µ h γ, Z W W τ γ µ µ h γ, Z W W τ γ µ

τ → µγ, µ → eγ, etc.

Joachim Kopp Flavor Violating Higgs Decays 8

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SLIDE 10

Constraints on h → µe

107 106 105104 103102 101 100 101 107 106 105 104 103 102 101 100 101 YeΜ Y Μe Μ eΓ M M Μ 3e Μ e conv.

  • g
  • 2
  • e
  • E

D M

e

  • g
  • 2

e f

  • r

I m

  • Y Μe

YeΜ

  • E

D Me f

  • r

R e

  • Y Μe

YeΜ

  • Y Μe

YeΜ

  • m e

m Μ

  • v 2

BRh Μe 0.99 109 108 107 106 105 104 103 102 101 0.5 see also: Blankenburg Ellis Isidori, arXiv:1202.5704 Goudelis Lebedev Park, arXiv:1111.1715

Joachim Kopp Flavor Violating Higgs Decays 9

Assumption here: Diagonal Yukawa coupling unchanged from their SM values.

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SLIDE 11

Constraints on h → τµ and h → τe

10 3 10 2 101 100 10 3 10 2 101 100 YΜΤ YΤΜ Τ ΜΓ Τ 3 Μ

  • g
  • 2
  • Μ
  • E

D M

Μ

  • g
  • 2
  • Μ
  • I

m

  • Y

Τ Μ

Y

Μ Τ

  • Y

Τ Μ

Y

Μ Τ

  • m

Μ

m

Τ

  • v

2

BR h ΤΜ 0.99 10 3 10 2 10 1 0.5 0.75

105 104 10 3 10 2 101 100 105 104 10 3 10 2 101 100 YeΤ YΤe Τ eΓ Τ eΜΜ

  • g
  • 2
  • e
  • E

D M

e

  • g
  • 2
  • e

f

  • r

I m

  • Y

Τ e

Y

e Τ

  • Y

Τ e

Y

e Τ

  • m

e

m

Τ

  • v

2

BR h Τe 0.99 10 6 10 5 10 3 10 2 10 1 0.5

E D M

e

  • R

e

  • Y

Τ e

Y

e Τ

  • Substantial flavor violation (BR(h → τµ, τe) ∼ 0.01) perfectly viable.

see also: Blankenburg Ellis Isidori, arXiv:1202.5704 Goudelis Lebedev Park, arXiv:1111.1715 Davidson Greiner, arXiv:1001.0434

Joachim Kopp Flavor Violating Higgs Decays 10

Assumption here: Diagonal Yukawa coupling unchanged from their SM values.

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SLIDE 12

Couplings to Quarks

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SLIDE 13

Constraints on Higgs couplings to light quarks

Tight constraints from neutral meson oscillations

h ¯ d b ¯ b d

Y ∗

bdPL + YdbPR

Y ∗

bdPL + YdbPR

t h h t ¯ u c ¯ c u

Y ∗

ctPL + YtcPR

Y ∗

tuPL + YutPR

Y ∗

ctPL + YtcPR

Y ∗

tuPL + YutPR

Joachim Kopp Flavor Violating Higgs Decays 12

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SLIDE 14

Constraints on Higgs couplings to light quarks

Tight constraints from neutral meson oscillations Work in Effective Field Theory: Heff = Cdb

2 (¯

bRdL)2 + ˜ Cdb

2 (¯

bLdR)2 + Cdb

4 (¯

bLdR)(¯ bRdL) + . . . Wilson coefficients constrained in UTfit (Bona et al.), arXiv:0707.0636

see also Blankenburg Ellis Isidori, arXiv:1202.5704

Technique Coupling Constraint D0 oscillations |Yuc|2, |Ycu|2 < 5.0 × 10−9 |YucYcu| < 7.5 × 10−10 B0

d oscillations

|Ydb|2, |Ybd|2 < 2.3 × 10−8 |YdbYbd| < 3.3 × 10−9 B0

s oscillations

|Ysb|2, |Ybs|2 < 1.8 × 10−6 |YsbYbs| < 2.5 × 10−7 K 0 oscillations ℜ(Y 2

ds), ℜ(Y 2 sd)

[−5.9 . . . 5.6] × 10−10 ℑ(Y 2

ds), ℑ(Y 2 sd)

[−2.9 . . . 1.6] × 10−12 ℜ(Y ∗

dsYsd)

[−5.6 . . . 5.6] × 10−11 ℑ(Y ∗

dsYsd)

[−1.4 . . . 2.8] × 10−13

Joachim Kopp Flavor Violating Higgs Decays 12

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SLIDE 15

Couplings involving top quarks

102 101 100 101 102 101 100 101 Yqt q c, u Ytq q c, u

0.5 101 102 103 104 105 0.5 101 102 103 104

BRh t q BRt hq

single top bound on Yct, Y tc single top bound on Y ut, Y tu t hq lim it Craig et al.

Constraints from Single top production

t h t t g q

Y ∗

ttPL + YttPR

Y ∗

tqPL + YqtPR

CDF 0812.3400, DØ 1006.3575 ATLAS 1203.0529

t → hq

Craig et al. 1207.6794 based on CMS multilepton search 1204.5341

Not sensitive t → Zq

CMS 1208.0957

Joachim Kopp Flavor Violating Higgs Decays 13

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SLIDE 16

Flavor-Violating Higgs Decays at the Large Hadron Collider

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SLIDE 17

h → τµ and h → τe at the LHC

Basic idea:

h → τℓ has the same final state as h → ττℓ

(but is enhanced by 1/BR(τ → ℓ))

Recast h → ττ search

here: ATLAS, arXiv:1206.5971

We consider only 2-lepton final states Use VBF cuts

(much lower BG than gg fusion)

see however Davidson Verdier, arXiv:1211.1248 based on ATLAS, arXiv:1206.5971

  • 100

200 300 400 5 10 15 20 25 ΤΤ collinear mass m ΤΤ GeV Events 10 GeV ATLAS 4.7 fb1 ATLAS MC

  • ATLAS data

5 H Τ Τ 5 H Τ Μ

Y ΜΤ

2 Y ΤΜ 2 1 2 m Τ v

Joachim Kopp Flavor Violating Higgs Decays 15

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SLIDE 18

h → τµ and h → τe at the LHC

Most important cuts

2 forward jets (pT,j1 > 40 GeV,

pT,j2 > 25 GeV, |∆η| > 3.0, minv

j1,j2 > 350 GeV)

no hard jet activity in between no b tags 2 opposite sign leptons ℓ1, ℓ2 with pT,ℓ 10–20 GeV (depending on

flavors)

τ momentum fraction x carried by ℓ1, ℓ2 satisfies 0.1 < x1,2 < 1.0

(computed in collinear approximation)

30 GeV < mℓℓ < 75 (100) GeV

for same (opposite) flavor leptons

/ ET > 20 (40) GeV

for same (opposite) flavor leptons

based on ATLAS, arXiv:1206.5971

  • 100

200 300 400 5 10 15 20 25 ΤΤ collinear mass m ΤΤ GeV Events 10 GeV ATLAS 4.7 fb1 ATLAS MC

  • ATLAS data

5 H Τ Τ 5 H Τ Μ

Y ΜΤ

2 Y ΤΜ 2 1 2 m Τ v

Joachim Kopp Flavor Violating Higgs Decays 15

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SLIDE 19

Mass reconstruction for h → τℓτℓ

Problem: 4 neutrinos in final state Solution: Assume all τ decay products collinear

Ellis Hinchliffe Soldate van der Bij, NPB 1987

Per τ: 2 unknown (|pντ |, |pνℓ|) 2 constraints: / ET,x, / ET,y

Joachim Kopp Flavor Violating Higgs Decays 16

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SLIDE 20

Limits on h → τµ and h → τe from the LHC

Technicalities

Use MadGraph 5, v1.4.6, Pythia 6.4, PGS Use only 120–160 GeV bin Derive one-sided 95% CL limit

based on ATLAS, arXiv:1206.5971

  • 100

200 300 400 5 10 15 20 25 ΤΤ collinear mass m ΤΤ GeV Events 10 GeV ATLAS 4.7 fb1 ATLAS MC

  • ATLAS data

5 H Τ Τ 5 H Τ Μ

Y ΜΤ

2 Y ΤΜ 2 1 2 m Τ v

Result

BR(h → τµ) < 0.13

  • Y 2

τµ + Y 2 µτ < 0.011

BR(h → τe) < 0.13

  • Y 2

τe + Y 2 eτ < 0.011

Joachim Kopp Flavor Violating Higgs Decays 17

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SLIDE 21

LHC constraints on h → τµ and h → τe

10 3 10 2 101 100 10 3 10 2 101 100 YΜΤ YΤΜ Τ ΜΓ Τ 3 Μ

  • g
  • 2
  • Μ
  • E

D M

Μ

  • g
  • 2
  • Μ
  • I

m

  • Y

Τ Μ

Y

Μ Τ

  • Y

Τ Μ

Y

Μ Τ

  • m

Μ

m

Τ

  • v

2

BR h ΤΜ 0.99 10 3 10 2 10 1 0.5 0.75

105 104 10 3 10 2 101 100 105 104 10 3 10 2 101 100 YeΤ YΤe Τ eΓ Τ eΜΜ

  • g
  • 2
  • e
  • E

D M

e

  • g
  • 2
  • e

f

  • r

I m

  • Y

Τ e

Y

e Τ

  • Y

Τ e

Y

e Τ

  • m

e

m

Τ

  • v

2

BR h Τe 0.99 10 6 10 5 10 3 10 2 10 1 0.5

E D M

e

  • R

e

  • Y

Τ e

Y

e Τ

  • Joachim Kopp

Flavor Violating Higgs Decays 18

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SLIDE 22

LHC constraints on h → τµ and h → τe

10 3 10 2 101 100 10 3 10 2 101 100 YΜΤ YΤΜ Τ ΜΓ Τ 3 Μ

  • g
  • 2
  • Μ
  • E

D M

Μ

  • g
  • 2
  • Μ
  • I

m

  • Y

Τ Μ

Y

Μ Τ

  • Y

Τ Μ

Y

Μ Τ

  • m

Μ

m

Τ

  • v

2

Our LHC limit

ATLAS 7 TeV , 4.7 fb 1

BR h ΤΜ 0.99 10 3 10 2 10 1 0.5 0.75

105 104 10 3 10 2 101 100 105 104 10 3 10 2 101 100 YeΤ YΤe Τ eΓ Τ eΜΜ

  • g
  • 2
  • e
  • E

D M

e

  • g
  • 2
  • e

f

  • r

I m

  • Y

Τ e

Y

e Τ

  • Y

Τ e

Y

e Τ

  • m

e

m

Τ

  • v

2

Our LHC limit

ATLAS 7 TeV , 4.7 fb 1

BR h Τe 0.99 10 6 10 5 10 3 10 2 10 1 0.5

E D M

e

  • R

e

  • Y

Τ e

Y

e Τ

  • Joachim Kopp

Flavor Violating Higgs Decays 18

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SLIDE 23

LHC constraints on h → τµ and h → τe

10 3 10 2 101 100 10 3 10 2 101 100 YΜΤ YΤΜ Τ ΜΓ Τ 3 Μ

  • g
  • 2
  • Μ
  • E

D M

Μ

  • g
  • 2
  • Μ
  • I

m

  • Y

Τ Μ

Y

Μ Τ

  • Y

Τ Μ

Y

Μ Τ

  • m

Μ

m

Τ

  • v

2

Our LHC limit

ATLAS 7 TeV , 4.7 fb 1

BR h ΤΜ 0.99 10 3 10 2 10 1 0.5 0.75

105 104 10 3 10 2 101 100 105 104 10 3 10 2 101 100 YeΤ YΤe Τ eΓ Τ eΜΜ

  • g
  • 2
  • e
  • E

D M

e

  • g
  • 2
  • e

f

  • r

I m

  • Y

Τ e

Y

e Τ

  • Y

Τ e

Y

e Τ

  • m

e

m

Τ

  • v

2

Our LHC limit

ATLAS 7 TeV , 4.7 fb 1

BR h Τe 0.99 10 6 10 5 10 3 10 2 10 1 0.5

E D M

e

  • R

e

  • Y

Τ e

Y

e Τ

  • Joachim Kopp

Flavor Violating Higgs Decays 18

WORLD ’S BEST LIMIT !

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SLIDE 24

Strategy for a dedicated h → τµ and h → τe search

Possible improvements

Different invariant mass formula

(assuming 1 neutrino rather than 3)

◮ Avoids smearing of signal ◮ Shifts Z → ττ peak to

lower invariant mass

Consider hadronic τ’s

(especially for CMS)

Modified cuts

◮ CMS h → τhadτℓ search requires

mT(ℓ, / pT) < 40 GeV to suppress W + jets

◮ In h → τhadµ, neutrino and muon

typically not collinear → large mT(ℓ, / pT)

Joachim Kopp Flavor Violating Higgs Decays 19

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SLIDE 25

Strategy for a dedicated h → τµ and h → τe search

Possible improvements

Different invariant mass formula

(assuming 1 neutrino rather than 3)

◮ Avoids smearing of signal ◮ Shifts Z → ττ peak to

lower invariant mass

Consider hadronic τ’s

(especially for CMS)

Modified cuts

◮ CMS h → τhadτℓ search requires

mT(ℓ, / pT) < 40 GeV to suppress W + jets

◮ In h → τhadµ, neutrino and muon

typically not collinear → large mT(ℓ, / pT)

50 100 150 200 2 4 6 8 10 12 Transverse m ass of the Μp T system GeV Events 10 GeV

5 fb 1, 7 TeV MGPythia Delphes BG rescaled to CMS-HIG-11-029 Wjets Zjets h Τhad ΤΜ h Τhad Μ

Y ΜΤ

2YΤΜ 21 2 m Τ v

QCD BG neglected Joachim Kopp Flavor Violating Higgs Decays 19

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SLIDE 26

Strategy for a dedicated h → τµ and h → τe search

50 100 150 200 250 300 5 10 15 20 ΤΜ invariant m ass m ΤΜ GeV Events 10 GeV

5 fb 1, 7 TeV MGPythia Delphes BG rescaled to CMS-HIG-11-029 Wjets Zjets h Τhad ΤΜ h Τhad Μ

Y ΜΤ

2YΤΜ 21 2 m Τ v

QCD BG neglected

50 100 150 200 250 300 5 10 15 ΤΜ invariant m ass m ΤΜ GeV Events 10 GeV

5 fb 1, 7 TeV MGPythia Delphes BG rescaled to CMS-HIG-11-029 Wjets Zjets h Τhad ΤΜ h Τhad Μ

Y ΜΤ

2YΤΜ 21 2 m Τ v

QCD BG neglected

For Yµτ, Yτµ close to the current upper limits, spectacular signals possible.

Joachim Kopp Flavor Violating Higgs Decays 20

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SLIDE 27

Exploiting Higgs production in gluon-gluon fusion

Davidson Verdier, arXiv:1211.1248

Observations

Computed pT,ν (using collinear approximation) is ≃ / ET Muon in h → τµ is much harder than in h → τℓτℓ.

T

E δ

  • 10
  • 8
  • 6
  • 4
  • 2

2 4 6 8 10

Events / 0.2

  • 1

10 1 10

2

10

+ jets

  • l
+

l → Z t t WW,WZ,ZZ single-t SM Higgs Signal

(GeV)

T

Muon p

20 40 60 80 100 120 140 160 180 200

Events / 2 GeV

  • 1

10 1 10

2

10

+ jets

  • l
+

l → Z t t WW,WZ,ZZ single-t SM Higgs Signal

Joachim Kopp Flavor Violating Higgs Decays 21

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SLIDE 28

Exploiting Higgs production in gluon-gluon fusion

Davidson Verdier, arXiv:1211.1248

Observations

Computed pT,ν (using collinear approximation) is ≃ / ET Muon in h → τµ is much harder than in h → τℓτℓ.

T

E δ

  • 10
  • 8
  • 6
  • 4
  • 2

2 4 6 8 10

(GeV)

T

Muon p

20 40 60 80 100 120 140 160 180 200

  • 2

10

  • 1

10 1 T

E δ

  • 10
  • 8
  • 6
  • 4
  • 2

2 4 6 8 10

(GeV)

T

Muon p

20 40 60 80 100 120 140 160 180 200

  • 3

10

  • 2

10

  • 1

10

Background Signal

Joachim Kopp Flavor Violating Higgs Decays 21

slide-29
SLIDE 29

Exploiting Higgs production in gluon-gluon fusion

Davidson Verdier, arXiv:1211.1248

Observations

Computed pT,ν (using collinear approximation) is ≃ / ET Muon in h → τµ is much harder than in h → τℓτℓ.

T

E δ

  • 10
  • 8
  • 6
  • 4
  • 2

2 4 6 8 10

(GeV)

T

Muon p

20 40 60 80 100 120 140 160 180 200

  • 2

10

  • 1

10 1 T

E δ

  • 10
  • 8
  • 6
  • 4
  • 2

2 4 6 8 10

(GeV)

T

Muon p

20 40 60 80 100 120 140 160 180 200

  • 3

10

  • 2

10

  • 1

10

Background Signal

Projected sensitivity

Davidson Verdier, arXiv:1211.1248

BR(h → τµ), BR(h → τe) < 4.5 × 10−3

Joachim Kopp Flavor Violating Higgs Decays 21

slide-30
SLIDE 30

Summary

Flavor-violating Higgs couplings arise in

◮ Models with several sources of electroweak symmetry breaking ◮ Models with heavy fields coupled to the Higgs

In the lepton sector:

◮ Constraints from ℓ1 → ℓ2 + γ, ℓ1 → ℓ2 + X, µ–e conversion in nuclei, g − 2,

EDMs, M– ¯ M oscillations

◮ Strong constraints in the µ–e sector ◮ Very weak constraints in the τ–e and τ–µ sectors

In the quark sector:

◮ Strong constraints on couplings to light quarks ◮ Very weak constraints on couplings to top quarks

At the LHC

◮ Constraints on anomalous top–Higgs couplings from single top production ◮ A recast ATLAS h → τℓτℓ search already provides strongest limits on

h → τµ and h → τe

◮ A dedicated search would be much more sensitive Joachim Kopp Flavor Violating Higgs Decays 22

slide-31
SLIDE 31

Thank you!