b physics, direct dark matter detection and supersymmetric higgs searches at colliders marcela...

B Physics, Direct Dark Matter detection and Supersymmetric Higgs Searches at Colliders

Marcela CarenaTheoretical Physics Department, Fermilab

Physics Department and Enrico Fermi Institute, University of Chicago

Advanced Topics on Flavor Physics at KITPC/ITP-CAS Beijing, July 16, 2008

Based on:

M.C., D. Garcia, U. Nierste and C. WagnerNucl. Phys. B577, 2000Phys. Lett. B499, 2001

M.C., S.Heinemeyer, C. Wagner and G. WeigleinEur.Phys. J.C45, 2006

M.C., A. Menon, R. Noriega, A Szynkman and C. WagnerPhys. Rev. D74, 2006.

M.C., D. Hooper and P, SkandsPhys. Rev. Lett.97, 2006.

M.C., D. Hooper, A. VallinotoPhys. Rev. D75, 2007

M.C., A. Menon and C. WagnerarXiv:0704.1143 [hep-ph] and in preparation

Outline

• Introduction ==> The connection between Higgs and Flavor Physics -- The Flavour issue in Supersymmetry ==> Minimal Flavor Violation (MFV)

• The MSSM Higgs Bosons -- the impact of radiative corrections on Higgs-fermion couplings: Flavor conserving and FCNC effects

• Non-SM-like MSSM Higgs searches at the TeVatron and the LHC • B physics and Higgs Searches at Colliders

-- correlation between Bs mixing and -- the impact of rare decays: on direct MSSM Higgs searches • B and Higgs Physics interplay with Direct Dark Matter Searches

€

BR(Bs → μ +μ - ), BR(b → sγ ) and BR(Bu → τν )

BR(Bs → μ+μ - )

The Standard ModelThe Standard Model A quantum theory that describes how all known fundamental particles interact

via the strong, weak and electromagnetic forces A gauge field theory with a symmetry group SU(3)c ×SU(2)L ×U(1)Y

Matter fields : 3 families of quarks and leptons with the same quantum numbers under the gauge groups

12 fundamental gauge fields:

8 gluons, 3 ‘s and μW μB

3,21, gggand 3 gauge couplings:

Force Carriers:

SM particle masses and interactions have been tested at Collider experiments ==> incredibly successful description of nature up to energies of about 100 GeV

Crucial Problem: The gauge symmetries of the model do not allow to generate mass for fundamental particles!

The Higgs Mechanism

A self interacting complex scalar doublet with no trivial quantum numbers under SU(2)L x U(1)Y

• Spontaneous breakdown of the symmetry generates 3 massless Goldstone bosons which are absorbed to give mass to W and Z gauge bosons

• Higgs neutral under strong and electromagnetic interactions exact symmetry SU(3)C x SU(2)Lx U(1)Y ==> SU(3)C x U(1)em

• One extra physical state -- Higgs Boson -- left in the spectrum

Higgs vacuum condensate v ==> scale of EWSB

MV2 =gφVV v 2

• Masses of fermions and gauge bosons proportional to their couplings to the Higgs

m f =hf v

mHSM

2 =2λ v2

The Higgs field acquires non-zero value to minimize its energy

mγ =0 mg =0

• In the mass eigenstate basis, the Higgs field interactions are also flavor diagonal

Flavor Changing effects arise from charged currents, which mix left-handed up

and down quarks: where

• The CKM matrix is almost the identity

==> Flavor changing transitions suppressed

•The Higgs sector and the neutral gauge interactions do not lead to FCNC

The Connection between Higgs and Flavour Physics

QuickTime™ and aTIFF (LZW) decompressor

are needed to see this picture.



The Flavor Structure in the SM

di mi +hiH( )di with mi =hi v

from uL0 =uLUL

† and dL0 =DLdL

Different v.e.v.’s ==>

Diagonalization of the mass matrix will not give diagonal Yukawa couplings ==> will induce large, usually unacceptable FCNC in the Higgs sector

Solution: Each Higgs doublet couples only to one type of quarks ==> SUSY at tree level

Flavor Beyond the Standard Model

Two Higgs doublet Models:

Yukawa interactions ==> d 0R,i (hd ,1

ij φ1 + hd,2ij φ2 ) dL , j

0

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ˆ m dij = ˆ h d ,1

ij v1 + ˆ h d ,2ij v2

However: radiative corrections to the Higgs -fermion couplings

Main effect at large tan beta ==> both Higgs doublets couple to the up

and down /lepton sectors

Higgs Physics strongly connected to flavor physics and to the SUSY mechanism.

==> For every fermion there is a boson with equal mass and couplings

New Fermion-Boson Symmetry: SUPERSYMMETRY (SUSY)

Just as for every particle there exists an antiparticle

SUSY must be broken in nature: no SUSY partner degenerate in mass with its SM particle has been observed

SM particles SUSY particlesSM particles SUSY particles

• Contains a good Dark matter candidate• Provides a technical solution to the hierarchy problem• Is consistent with gauge coupling unification

QuickTime™ and aTIFF (Uncompressed) decompressor




The MSSM Higgs Sector: Two Higgs fields with opposite hypercharges

The flavor problem in SUSY Theories SUSY breaking mechanisms ==> can give rise to large FCNC effects

• Novel sfermion-gaugino-fermion interactions, e.g. for the down sector

where come from the block diagonalization of the squark mass matrix

• Diagonal entries are 3x3 matrices with the soft SUSY breaking mass

matrices and the rest proportional to the Yukawa or

• Off-diagonal matrices are proportional to the Yukawa and to the soft SUSY breaking

matrices Ad coming from the Higgs-sfermions trilinear interactions:

dL(R)

0 %λ %dL(R)0 → dL(R)DL(R)

+ %DL(R)%λ %dL(R)

€

˜ D L,R

%dL0,i* %dR

0,i*( ) MQ

2 + v12hd

+hd + D%dLv1 Ad

* −μ tanβ( )hd+

v1hd Ad −μ* tanβ( ) MD2 + v1

2hdhd+ + D%dR

⎛

⎝⎜⎜

⎞

⎠⎟⎟

%dL0, j

%dR0, j

⎛

⎝⎜⎞

⎠⎟

€

MQ2 , MD

2

€

Ι

€

recall VCKM = UL+DL

%uL

0,i* Au*φ2

* −μφ1*( )hu

+%uR0, j + %dL

0,i* Ad*φ1 −μφ2( )hd

+ %dR0, j +h. c.

%dL* %DL

+(Ad*φ1 −μφ2 )DLhd

+DR+

hd+

1 24 34%DR

%dR +h. c.e.g. for the down sector

• At loop level: FCNC generated by two main effects:

1) Both Higgs doublets couple to up and down sectors ==> important effects in the B system at large tan beta 2) Soft SUSY parameters obey Renormalization Group equations:

given their values at the SUSY scale, they change significantly at low energies

==> RG evolution adds terms prop. to

In both cases the effective coupling governing FCNC processes

Minimal Flavor Violation

• At tree level: the quarks and squarks diagonalized by the

same matrices

Hence, in the quark mass eigenbasis the only FC

effects arise from charged currents via VCKM as in SM.€

˜ D L,R = DL ,R ; ˜ U L ,R = UL,R

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hd hd+ and huhu

+, and h.c.

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(XFC )ij = (hu+hu )ij ∝mt

2 V3iCKM*V3j

CKM for i ≠ j



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~

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~

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~

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~

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~

D’Ambrosio, Giudice, Isidori, Strumia

Isidori, Retico: Buras et al.

The Higgs Sector in Minimal Supersymmetric Standard Model (MSSM)

2 Higgs SU(2) doublets and : after Higgs Mechanism

2 CP-even h, H with mixing angle 1 CP-odd A and a charged pair

At tree level, all Higgs masses and couplings given in terms of and

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mA

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tanβ = v2 v1

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α

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H±

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φ1

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φ2

In most of the parameter space:

==> lightest Higgs: (SM-like Higgs) and

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mA >> mZ

mA ≈mH ≈mH±

€

mh ≤ mZ

h =−Reφ10 sinα +Reφ2

0 cosα

H =Reφ10 cosα +Reφ2

0 sinα

A =Imφ10 sinβ + Imφ2

0 cosβH ± =φ1

±sinβ + φ2±cosβ

At tree level, one Higgs doublet couples only to down quarks and the other couples to up quarks only

−L = ψ L0,i hd

ij+φ1dR0, j + hu

ij+φ2*uR

0, j( ) + h. c.

Since the up and down sectors are diagonalized independently, the Higgsinteractions remain flavor diagonal at tree level.

ψ Li =

uL

dL

⎛⎝⎜

⎞⎠⎟

i

MSSM Higgs Couplings to gauge bosons and fermions

• Quantum corrections affect the couplings relevantly, yielding tanb enhanced

Flavour Changing effects !

( tanb enhanced)

mH± > 78.6GeV

mh > 91.0 GeV; mA,H > 91.9 GeV;

LEP MSSM HIGGS limits:

mhSM−like >114.6GeV

95%C.L. limits

Normalized

to SM values

H −tb ∝ mt cotβPR + mb tanβPL[ ]Vtb H −τ +ντ ∝ mτ tanβPL

LEP Excluded

Radiative Corrections to Higgs Boson Masses Important quantum corrections due to incomplete cancellation of particles andsuperparticles in the loops

• enhancement

• log sensitivity to stop masses

• depend. on stop mass mixing

4tm

tXSM

After 2 -loop corrections

stringent test of the MSSM

mh ≤135 GeV



MSSM Higgs Masses as a function of MA

• Mild variation of the charged Higgs mass with SUSY spectrum

mA nearly degeneratewith mh or mH

loop factors intimately loop factors intimately connected to the structure of connected to the structure of the squark mass matrices.the squark mass matrices.

Vertex corrections to neutral Higgs-fermion couplings ( enhanced)

€

ε

€

hd

€

hu

€

hu+

€

hd

€

tanβ

€

−Leff . = d R0 ˆ h d φ1

0*+ φ2

0*ˆ ε 0 + ˆ ε Y

ˆ h u+ ˆ h u( )[ ]dL

o + φ20u R

0 ˆ h uuL0 + h.c.

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ε0i ≈

2α s

3π

μ*M ˜ g *

max m ˜ d 1i

2 ,m ˜ d 2i

2 , M ˜ g 2

[ ]

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εY ≈μ*At

*

16π 2 max m ˜ t 1

2 ,m ˜ t 2

2 ,μ 2[ ]

Dependence Dependence on SUSY on SUSY parametersparameters

• In terms of the quark mass eigenstates

−Leff

= 1v2

tanβ Φ10* − Φ2

0*( ) dRMd VCKM

+ R-1VCKM

⎡⎣ ⎤⎦dL + 1v2

Φ20*dRMddL + 1

v2

Φ20uRMuuL + h.c.

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and R = 1 + ε0 tanβ + εY tanβ hu

2 R diagonal

€

hu = Mu v2Dedes , Pilaftsis

with R33 ≡1+ Δb

Radiative Corrections to the Higgs Couplings

Flavor Conserving Higgs-fermion couplings

−Leff

≈ 1v2

tanβ Φ10* dRMd

1

R33dL + h. c.

R33 =1+ (ε03 + εYht

2 )tanβ ≡1+ Δb

In terms of the Higgsmass eigenstates:

€

φ10 = −sinα h +cosα H +i sinβ A

φ20 = cosα h +sinα H - i cosβ A

€

and at large tanβ, mA > mhmax :

cosα ≈ sinβ; sinα ≈ −cosβ

=mb tan β

(1+Δb )vφ1

0*dRdL + h.c.

€

H + iA ≅ sinβ φ10 − cosβ φ2

0

€

gAbb ≅ gHbb ≅mb tanβ

1+ Δb( )v

€

Δτ << Δ b ⇒destroy basic relation

gA / H bb gA / H ττ ∝ mb mτ

€

gAττ ≅ gHττ ≅ mτ tanβ v

Looking at large tanβ and VCKM33 =1

Non-Standard Higgs Production at the Tevatron and LHC



• Important effects onImportant effects on couplings to b quarks and tau-leptons

BR(A → bb) ≅9

9 + 1+ Δb( )2 ⇒

BR(A → τ +τ −) ≅1+ Δb( )

2

9 + 1+ Δb( )2 ⇒



There is a strong dependence on the SUSY parameters in the bb search channel. This dependence is much weaker in the tau-tau channel

€

σ bb A( ) × BR A → bb ( ) ≅ σ bb A( )SM

×tanβ 2

1+ Δb( )2 ×

9

1+ Δb( )2

+ 9

€

σ bb ,gg → A( ) × BR A → ττ( ) ≅ σ bb ,gg → A( )SM

×tanβ 2

1+ Δb( )2

+ 9

• Considering value of running bottom mass and 3 quark colors

→ gbbA / H ≈mb tan β

1 + Δb( )v

A) In the bb mode

==> probe large region of plane

Searches for Non-Standard Higgs bosons at the Tevatron

€

pp → bb φ, φ → bb

• Enhanced reach for negative values of reach for negative values of • Strong dependence on SUSY parametersStrong dependence on SUSY parameters

σ (bbφ)BR φ → bb( ) ∝ 1 1+ Δb( )2

⇒ enhanced for Δb < 0 ⇔ μ <0 (if At and M%g > 0)

€

tanβ − mA

M. C., Heinemeyer, Wagner,Weiglein ‘05€

μ



€

μ =−1000 GeV

€

μ =−500 GeV

€

μ =−200 GeV€

μ =200 GeV

€

μ =500 GeV

€

mhno−mixing ⇔ X t = 0



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μ =−1000 GeV

€

μ =−500 GeV

€

μ =200 GeV

€

μ =−200 GeV

€

mhmax ⇔ X t = 6 MSUSY

based on D0 → 260 pb-1

B) In the tau tau inclusive mode

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pp → Xφ, φ → τ +τ −



€


€

μ → (−300 - - 1000) GeV range



€

μ =−200 GeV

€

mhmax ⇔ X t = 6 MSUSY

€

μ =200 GeV

€

μ =500 GeV

€

μ =1000 GeV

€

μ =−300 GeV

• Important reach for large tanb, small mA • Weaker dependence on SUSY

parameters via radiative corrections

based on CDF: 310 pb-1

A) In the bb mode

==> probe large region of plane

Searches for Non-Standard Higgs bosons at the Tevatron

€

pp → bb φ, φ → bb

• Enhanced reach for negative values of reach for negative values of • Strong dependence on SUSY parametersStrong dependence on SUSY parameters

σ (bbφ)BR φ → bb( ) ∝ 1 1+ Δb( )2

⇒ enhanced for Δb < 0 ⇔ μ <0 (if At and M%g > 0)

€

tanβ − mA

M. C., Heinemeyer, Wagner,Weiglein ‘05€

μ



€

μ =−1000 GeV

€

μ =−500 GeV

€

μ =−200 GeV€

μ =200 GeV

€

μ =500 GeV

€


based on D0 → 260 pb-1

B) In the tau tau inclusive mode

€

pp → Xφ, φ → τ +τ −



€


€

μ → (−300 - - 1000) GeV range

• Important reach for large tanb, small mA • Weaker dependence on SUSY

parameters via radiative corrections

based on CDF: 310 pb-1



H/A Higgs searches at the LHC



Searches for Non-Standard Neutral Higgs bosons at the LHC

€

pp → A /H X , A /H → τ +τ − , rescaling CMS prospects for 30 fb-1(similar for ATLAS)

• Enhancement of Hbb and Abb couplings by factor compared with SM Higgs.

==> large production cross section

==> decay dominated by (with different decay modes of tau leptons)

€

A /H → τ +τ −

€

tan β

Cancellation of effects ==> projections stable

under variations of SUSY space: main variation ==>

Δ tan β ≈ 8 −10

€

A /H → ˜ χ i0 ˜ χ j

0, ˜ χ k± ˜ χ l

m€

Δb

Robustness of results under variations of SUSY space ==>handle on tan beta

M.C, Heinemeyer, Wagner, Weiglein

Kinnunen et al.

Interplay between Interplay between

B physics observables B physics observables

andand

SUSY Higgs searches at the Tevatron and the LHCSUSY Higgs searches at the Tevatron and the LHC

Important Flavor Changing effects:

1) tree level ==> charged Higgs induced via

2) tan beta enhanced loop corrections both in the neutral and charged Higgs sectors

VCKM

Indirect searches for MSSM Higgs bosons in B meson observablesIndirect searches for MSSM Higgs bosons in B meson observables

Indirect searches for MSSM Higgs bosons in B meson observablesIndirect searches for MSSM Higgs bosons in B meson observables

Loop-induced A/H mediated FCNC can affect in a relevant way:



€

BH = pBs0 + qB s

0 €

Bs0 = b s( ) B s

0 = bs ( )

Flavor eigenstates mix via weak interactions

€

BL = pBs0 − qB s

0

1) Bs mixing

Mass eigenstates:

€

ΔMs = MB H− MBL

= 2 |M12| =GF

2

6π 2η B mBS

ˆ B BSfBS

2

lattice

1 2 3 MW

2 S0 mt( ) |Vts|2

Short distance QCD correctionsBox-diagram



ΔMS. = 17.7 ± 0.10 ± 0.07 ps−1

CDF:

ΔM SCKM = 18.9−5.5

+12.2 ps−1

SM fit :ΔM S

UT = 20.9 ± 5.2 ps−1

€

BS → μ +μ−



2) Rare decay rate:

Wts M

mV amplitude SM μ∝

€

BR(Bs → μ +μ−)SM ≈ (3.8 ±1.0) × 10−9

• Present CDF limit:

BR(Bs → μ+μ_ ) < 5.8 10−8 at 95% C.L.

Initial state

Final state

BS =(bs)

LHCb will probe SM values with a few fb-1

• Loop-induced Higgs mediated FCNC in the down-quark sector

with XRLH/A( )

bs≈−

mb

v ht

2 εY tanβ2

1+ε03 tanβ( ) 1+ Δb( )

VCKMtb* VCKM

ts

Interesting correlation between SUSY contributions

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ΔMBS

BR(BS → μ +μ−)∝

mA2

tanβ 2



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32

€

23*


are needed to see this picture.€

32

€

tanβ

€

ΔMBS( )SUSY

∝ − XRL

32 XLR32

mA2

€

BR(BS → μ +μ−)SUSY ∝XRL

32 2tanβ 2

mA4

Negative sign with respect to SM

∝μAt

2tan β 6

mA4

−LFCNC = bR (XRLS )bs sLφS + h. c. φS = A,H

εY ∝ μ At

• What can we learn from Bs-mixing?

Upper bound on NP from CDF ==>

How strong is the bound on ? BR(Bs → μ+μ−)

• For natural values of mA< 1000 GeV ==> largest contributions at most a few ps-1

ΔMS. = 17.7 ± 0.10 ± 0.07 ps−1

M. C., Menon, Papaqui, Szynkman, Wagner 06

ΔM SCKM = 18.9−5.5

+12.2 ps−1

ΔM SUT = 20.9 ± 5.2 ps−1

A/H at the reach of the Tevatron or the LHC <==> strong constraints on

€

ΔMS DP

SUSY

BR(Bs → μ+μ−)SM

of order 10−9

at the reach of LHC(b) with about 10 (a few) fb-1

SUSY corrections

can enhance it by

2 orders of magnitude.

Using CKM fitter

Using UT fit

BRCDF (Bs → μ+μ_ ) < 5.8 10−8

3) Rare decay rate

€

B → XSγ

BR(B → XSγ)SM = (3.15 ±0.26)× 10−4

Considering world average measurement,

and large theoretical uncertainty

2 allowed range for new physics ==>0.89 ≤

BR(B→ XSγ)exp

BR(B→ XSγ)SM ≤ 1.36

σ

BR(Bu → τν)Belle =(1.79 -0.49+0.56

−0.51+0.46 ) 10−4

Latest result from Belle & Babar ==>

BR(B → XSγ)exp = (3.55 ±0.24-0.10

+0.09 )× 10−4

4) transition

€

Bu → τν

BR(Bu → τν)SM =GF

2mBmτ2

8π1−

mτ2

mB2

⎛

⎝⎜⎞

⎠⎟

2

fB2 Vub

2 τ B=(1.09 ± 0.40) ×10−4

Using HFAG average value:

|Vub|=(3.98+-0.45) x 10-4

Charged Higgs mediated flavor changing effects can affect:

BR(Bu → τν)Babar =(1.20 ±0.54) 10−4

Misiak ‘06, Becher, Neubert ‘06

Similar to the neutral Higgs case ==> tanb enhanced charged Higgs - squark loop corrections



€

tR

€

tL

€

bR

€

sL

€

H +

€

PRL32

€

PLR33

A

χ+ ∝μAt tanβ mb

1+ Δb( ) ht

2 f[m%t1,m%t2

, μ] Vts



€

tR

€

tL

€

bR

€

sL

€

˜ h 1+

€

˜ h 2+

€

×€

__€

μ

€

At

€

~

€

~

AH + ∝

(ht −δht tanβ) mb 1+ Δb( )

g[mt,mH+ ] Vts

If At ~0 + large ==> cancellations between tree and loop contributions possible,

and small contribution from chargino-stop loop

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μ M ˜ g > 0

0.89 ≤ BR(B→ XSγ)MSSM BR(B→ XSγ)

SM ≤ 1.36 2σ range Misiak et al. ‘06Becher and Neubert ’06

Flavor Changing in the charged Higgs coupling:

δht ∝ ht

2αS

3πμ*M %g

• Charged Higgs contributions to

€

BR(B → XSγ )

tRH +sL → 1 tanβ suppressed and tLH+bR → tanβ enhanced

Suppression arises due to tree level coupling to Loop corrections induce coupling to φ1

+φ2

+

Flavor Changing in the charged Higgs coupling:

• Bu → τν transition

RBu → τν =BR(Bu → τν)MSSM

BR(Bu → τν)SM = 1−mB

2

mH±2

⎛

⎝⎜

⎞

⎠⎟

tanβ 2

(1+ ε03 tanβ)

⎡

⎣⎢⎢

⎤

⎦⎥⎥

2

⇒ 0.07 ≤ RBu →τν ≤ 2.51 at 2 σ

In the MSSM ==> charged Higgs contribution interferes destructively with SM one.

BR(Bu → τν)exp =(1.41 ±0.43) 10−4Belle + Babar averaged:


are needed to see this picture.(H ±)

Large to moderate values of Xt ==> SM like Higgs heavier than 120 GeV

€

BR(BS → μ +μ−)∝ μAt

2⇒

€

μ

Strongly constrained by Tevatron bound, even for small

Small μ and μAt < 0 ==> ≅constant H+ and enhanced negative χ +−%t contributions to b→ sγ

M. C. et al. hep-ph/0603106 and hep-ph/0704.1143

• Sizeable LR stop mixing <==> small/moderate mu ==> B searches more powerful than Non-SM like Higgs searches

Tevatron: 2 ×10-8 (8fb−1)

LHC: 5.5 ×10-9 (10 fb-1); LHCb : SM reach (few fb-1)€

black lines : BR(Bs → μ −μ +) reach :

Hatched Area: Allowed regions byBR(Bu→ τν), BR(b → sγ) and BR(BS→ μ+μ_ )

Red:-- 1 fb-1 (CDF and D0 excluded) [OLD]-- projected 4 fb-1 at the Tevatron -- projected 30 fb-1 at the LHC€

pp , pp → H /A → τ +τ −

Non-SM-like Higgs Searches and rare B decay Constraints

€



CDF D0

B Allowed

4 fb-1

2 ×10-8 (8fb−1)

5.5 ×10-9 (10 fb-1) 30 fb-1



D0

CDF

2 ×10-8 (8fb−1)

5.5 ×10-9 (10 fb-1)

30 fb-1 B Allowed

4 fb-1

old values for BR(Bu → τν) and lower Vub ⇒ more restrictive parameter space

• Small Xt , sizeable ==> SM-like Higgs lighter than 120 GeV

• No constraints from

• Mild constraints from

€

BR(Bs → μ +μ _ )

BR(b → sγ) if sizeable μ M%g > 0

• Important constraint fromImportant constraint from

€

BR(Bu → τν )

Green: Allowed by B physics constraints

M.C., Menon, Wagner

€

μ

Strong bounds on SM-like Higgs from LEP

Red:

-- 1 fb-1 (CDF and D0 excluded)[OLD]-- projected 4 fb-1 at the Tevatron -- projected 30 fb-1 at the LHC€

pp , pp → H /A → τ +τ −

==> Non-SM like neutral Higgs searches can cover areas compatible with B physics constraints

Blue: LEP Excluded from Higgs searches



D0CDF

B Allowed

LEP excluded

4 fb-1

30 fb-1

old values for BR(Bu → τν) and lower Vub ⇒ more restrictive parameter space

. and the Scale of SUSY BreakingBs → μ+μ− and b→ sγ,

XRLH/A( )

bs≈−

mb

v ( ε0

3 −ε01,2 +ht

2εY ) tanβ2

1+ε03 tanβ( ) 1+ Δb( )

VCKMtb* VCKM

ts

• FCNC’s induced by Higgs-squark loops depend on the flavor structure of the squark soft SUSY breaking parameters

• If SUSY breakdown is transmitted to the observable sector at high energies

M ~ MGUT, even starting with universal masses (MFV) in the supersymmetric theory:

Due to RG effects:==> L-H down squarks are not diagonalized by same rotation as L-H down quarks and

this generates FC in the left handed quark-squark gluino vertex prop. to VCKM

A delicate cancellation may occur between these contributions

Ellis, Heinemeyer, Olive, Weiglein ‘07

If μAt < 0 and μM%g > 0

ε0

3 − ε 01,2 > 0 and proportional to μ M %g

1) The effective FC strange-bottom-neutral Higgs coupling is modified to:

• If SUSY breakdown is transmitted at low energies: M~ MSUSY, the squark mass matrices are approx. block diagonal, and the only source of

FCNC’s is the chargino-stop loop factor.

2) Flavor violation in the gluino sector also induces relevant contributions to

A%g ∝αS(m0

2 −mQ3

2 )M %gμ tanβ F(m0 ,mR,m%bi,m%di

,M %g)

b → sγ

As expected the gluino contribution disappears in the limit of universal LH down squark mass parameters:

For non-zero mass splittings contributions are relevant for large tanb and

the sign is governed by the sign of

m02 =mQ3

2

μM %g



B physics constraints on the plane

for different SUSY breaking scales Xt −μ

Independent of the scale at which SUSY breadown is transmitted

Large stop mixing is disfavored ==> light Higgs mass below/about 120 GeV

M ? MSUSY or M ≥MSUSY

M.C., Menon, Wagner, in preparation

M A =200 GeV tanβ=55

Allowed in highenergy SUSY:M = MGUT

Allowed in lowenergy SUSY:M = MSUSY



Non-SM-like Higgs and B-meson Constraints

pp → H / A→ τ +τ −

excluded : 1.8 fb-1


Xt =−400 GeV μ=800 GeV MSUSY =1.5TeV M%g=800 GeV

The effect of the SUSY breaking scenario in MFV

YELLOW region: Allowed in high energy SUSY: M = MGUT

GREEN (hatched) region: Allowed in low energy SUSY: M = MSUSY

μAt < 0 and μM%g > 0

For M~MGUT, parameter space less constrained for large tanb:

The chargino contribution cancels both the chargino and charged Higgs ones to Also, cancellation of due to mass splitting effect

b → sγBS → μ+μ−

For M~Msusy, parameter space more constrained for large tanb:

The chargino contribution cancels charged Higgs ones to but very contrained due to non-vanishing At

b → sγ BS → μ+μ−




pp → H / A→ τ +τ −

excluded : 1.8 fb-1


Xt =0 μ=1000 GeV MSUSY =1.5TeV M%g=800 GeV

The effect of the SUSY breaking scenario in MFV: case 2



For M~MGUT, parameter space STRONGLY constrained for large tanb:

The chargino and the charged Higgs contributions cancel individually, some contribution from the gluino to . Strong constrain from gluinos (no cancellation for At=0) tob → sγ BS → μ+μ−

For M~Msusy, parameter space less constrained for large tanb:

The chargino and charged Higgs contributions to tend to cancel individually and no constraint for At=0 to

b → sγBS → μ+μ−

The Interplay between The Interplay between

Direct Dark Matter searchesDirect Dark Matter searches

Collider MSSM Higgs searchesCollider MSSM Higgs searches

and B observablesand B observables

The idea of DM seems naturally connected

to the phenomena of electroweak symmetry breaking

Direct DM experiments:

CDMS, ZEPLIN, EDELWEISS, CRESST, XENON, WARP,…

WIMPs elastically scatter off nuclei in target,

producing nuclear recoils

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σ SI ≤10−8 pb

==> dominated by virtual exchange of H and h, coupling to strange quarks and to gluons via bottom loops

tanβ enhanced couplings for H

Indirect searches for MSSM Higgs bosons via direct Dark Matter experimentsIndirect searches for MSSM Higgs bosons via direct Dark Matter experiments

Uncertainties in the local halo density, the local DM velocity distribution and the neutralino couplings to protons and nucleons induce an uncertainty of a factor 3-5 in the cross section.

Sensitive mainly to spin-independent elastic scattering cross section



Direct DM searches Vs the Tevatron and LHC H/A searches

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mA and tanβBoth MSSM Higgs searches and neutralino direct DM searches depend on

For μ =400,800,1200,2000 GeV

Smaller μ values imply larger Higgsino component of the LSP ==> larger σSI

H/A → ττ at LHC 30 fb-1QuickTime™ and a

TIFF (Uncompressed) decompressorare needed to see this picture.

H/A → ττ at Tevatron 4 fb-1

CDMS 2007

SCDMS 150 Kg

mA[GeV] mA[GeV]

Direct detection of DM <==> detection of A/H at the Tevatron and LHC

tanβ

tanβ

M.C., Hooper and Vallinotto

M 2 =200 GeV

Latest CDMS and Xenon10 resultsstart to probe interesting regions of parameter space





Direct DM searches and B observables

Probes of low energy SUSY spectrum and SUSY breaking scales

CDMS Excluded

CDMS Excluded






Conclusions

• Non-SM like MSSM Higgs bosons ==> at the reach of colliders for sizeable

robust results under variation of SUSY space

moderate sensitivity to tan beta

• The Non-Standard MSSM Higgs searches at colliders are strongly constrained by B physics measurements and, with larger uncertainties, by DM direct searches.

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tan β

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A /H → τ +τ − and H± → τν →

Supersymmetry is a leading candidate for a theory beyond the Standard Model ==> it opens the possibility of a more complex Higgs structure and connects Higgs physics with Flavor physics and Cosmology.

• If low energy SUSY is realized in nature, the interplay among these three types of experimental data would be crucial in pinning down the SUSY particle spectrum and, possibly, get some information about SUSY breaking.

EXTRAS

==> Evidence for H/A at the Tevatron (LHC) predict neutralino cross sections typically within the reach of present (future) direct DM detection experiments.

(strong dependence)

CDMS DM searches Vs the Tevatron and LHC H/A searches •If the lightest neutralino makes up the DM of the universeIf the lightest neutralino makes up the DM of the universe

μ

Tevatron reach LHC reach

Flavor Changing in the charged Higgs coupling

• Similar to the neutral Higgs case, we have enhanced loop corrections which depend on SUSY parameters

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€

hd

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tR

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dL

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˜ d L

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˜ t R

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φ1±

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ht

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tanβ

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ˆ h u ε0'

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−LeffH ±

= u Rj PRL

ji dLi H + + u L

j PLRji dR

i H + + h.c.

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PLRj 3 =

2

v

m b tanβ

1+ ε03*

tanβ( )

VCKMj 3

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PRL3i ≈

2

vm t cot β VCKM

3i 1− tanβ ε0' −εY

' hb2

( )( )

This type of corrections are most important in constraining new physics from and

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B → XSγ

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Bu → τν

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PLR33 = PLR

j 3(J → 3, ε03*

→ Δb* )

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hu

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hd

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hd+

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dL

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tR

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˜ t L

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˜ d R

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φ1±

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ˆ h u εY' ˆ h d

+ ˆ h d

• Similarly to the neutral Higgs case, there are tan beta enhanced loop corrections which depend on SUSY parameters



Charged Higgs searches at the LHC

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For mH± > m t + mb expect H± → tb decay, however

€

σ (gb → H ±t)× BR(H ± → τν )∝tan β 2

(1+ Δb )2

(1+ Δb )2

(1+ Δb )2 + 9 1− m t2 /m

H±2

( )2

Much more robust under radiative corrections

Including variation due to charged Higgs

decay into SUSY particles for small mu €

Δ tan β ≤ 10

M.C., Heinemeyer, Wagner, Weiglein

Discovery reach for a SM-like MSSM Higgs at the Tevatron

•The mhmax scenario:

-- Maximizes mh and allows conservative tan beta bounds

-- enhanced due to factor for low mA and intermediate

and large tan beta (analogous for H if mA < mhmax) ==> suppression of

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h → γγ

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ghbb, ghττ

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sinα eff , / cos β

MS =1 TeV ; X t =2.4 MS ; m%g= - 0.8 MS ; M2 =−μ =200GeV; A t =Ab

• The No-Mixing scenario: Xt=0, MS= 2 TeV ==> lightest Higgs mass < 125 GeV

==> similar behavior for Higgs couplings to tau leptons, bottom quarks and photons. Tevatron may have sensitivity to discover all 3 MSSM neutral Higgs bosons

pp → W/Z h with h→ bb with 4 fb-1



h → bb

B allowed

MMhhmaxmax scenario scenario

Red: A/H --> tau tauRed: A/H --> tau tauCDF D0



h → bb

B allowed

LEP excluded

No-mixing scenario

D0CDF

Nikitenko, ICHEP06

With K factors

New Atlas study (30 fb-1)Atlas note 2006-018

SM Higgs Search Potential at the LHC

NLO

LO



First, full simulation analysis of qqH, H->First, full simulation analysis of qqH, H->ττττ->l+jet,->l+jet, Optimized Nikitenko, ICHEP 06Optimized Nikitenko, ICHEP 06

•The mhmax scenario:

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M S = 1 TeV ; X t = 2.4 MS ; m˜ g = 0.8 MS ; M 2 = −μ = 200GeV; A t = Ab

Discovery reach for SM-like MSSM Higgs at the LHC with 30 fb-1

Production and decay channels: qqh → qq τ +τ _ and h→ γγ inclusive

h → γγ

qqh → qq τ +τ _

B allowed



qqh → qq τ +τ _

B allowed

re-evaluating Higgs studies at presentre-evaluating Higgs studies at presentCMS ProjectionsATLAS Projections

CMS covers small part of B allowed region, with , but, full coverage at 3-4

ATLAS tau tau channel seems to have full coverage with

h → γγ and h→ ττ h → ττ

h → γγ

σ

•The No mixing scenario:

MS =2 TeV ; X t =0 ; m%g= 0.8 MS ; M2 =200GeV; A t =Ab; μ =1.5 TeV

Discovery reach for SM-like MSSM Higgs at the LHC with 30 fb-1

Production and decay channels: qqh → qq τ +τ _ and h→ γγ inclusive

CMS Projections ATLAS Projections

SM-like Higgs needs di-tau and di-photon channels to secure discovery with 30 fb-1

some B allowed regions remain uncovered





h → γγqqh → qq τ +τ _

B allowed

LEP excluded

qqh → qq τ +τ _

B allowed

LEP excluded

h → γγ

-- One can see a SM-like Higgs in the channel and not in the channel

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γγ

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τ +τ−

Variations on the allowed 2 ratio on depending on VubRBτνσ





BR(Bu → τν)SM =(0.85 ±0.13)×10−4 using VubUTFit =(3.68 ±0.14) ×10−3

BR(Bu → τν)SM =(1.39 ±0.44)×10−4 using Vubincl. =(4.49 ±0.33) ×10−3

Much smaller excluded region for intermediate tan beta

Stronger bounds on tan beta

Similar Studies in the CMSSM with NUHM show also the interplay between Higgs physics/B observables/DM detection

Ellis, Heinemeyer, Olive, Weiglein

Hatched region allowed by Mh limitELW observables, B observables,muon (g-2) and CDMS DM limit



%τ LSPA potential signal for mA of order 160 GeV would also suggest a light Higgs just above the LEP limitDirect DM detection, and B physics signals of new physicsaround the corner

Cosmology data Dark Matter New physics at the EW scale

Evolution of the Dark Matter Density Being produced and annihilating

(T≥mx)• Heavy particle initially in thermal equilibrium

• Annihilation stops when number density drops

• i.e., annihilation too slow to keep up with

Hubble expansion (“freeze out”)

• Leaves a relic abundance:€

H > ΓA ≈ nχ < σ A v >

Interactions suppressed

(T<mx)Freeze out

ΩDM h2 ≈ < σ Av>-1

If mx and σA determined by electroweak

physics, σ A ≈ kα W

2 / mX2 ≈ a few pb then ΩDM~0.1 for mx~0.1-1 TeV

Kolb and Turner

Remarkable agreement with WMAP-SDSS ΩDM = 0.104 ± 0.009

The EWSB mechanism + Collider data Dark Matter

EWSB scale << MPl Hierarchy problem

Precision data from LEP, SLD and Tevatronpreclude the existence of new particles singly produced with masses below a few TeV

To avoid major fine tuning in the EWSB theory Precision collider data predict the existence of a WIMP

Dark Matter

Quantum corrections to the Higgs potentialmass parameter are quadratically divergent

Need new particle/s with masses of order of the EWSB scale to cancel them

NP

f

f

f

f

Most models of EWSB introduce an extra discrete symmetrywhich predicts a stable Weakly Interacting Massive Particle (WIMP)

μ


pp → H / A→ τ +τ −

excluded: 1.8 fb-1



pp → H / A→ τ +τ −

excluded : 1.8 fb-1

Bu → τν and b→ sγ Allowed

BS → μ+μ− High energy SUSY

Xt =0 μ=1500 GeV M%g=800 GeV


excluded

No constriant from BS → μ+μ− in the low energy SUSY breaking scenario

Direct DM searches Vs the Tevatron and LHC H/A searches For μ =400,800,1200,2000 GeV

Smaller μ values imply larger Higgsino component of the LSP ==> larger σSI

H/A → ττ at LHC 30 fb-1H/A → ττ at Tevatron 4 fb-1

mA[GeV]

tanβtanβ



CDMS 2007

mA[GeV]



SCDMS 150 Kg

B allowed region in Mhmax scenario:

Hard for A/H searches at colliders, but at the reach of DM direct detection experiments

μ =−200 GeV

M 2 =200 GeV

B allowed region in no-mixing scenario: Good for A/H searches at colliders, very limited reach for DM direct detection experiments

μ =1500 GeV

LEP Excluded

Radiative Corrections to Higgs Boson Masses Important quantum corrections due to incomplete cancellation of particles andsuperparticles in the loops

• enhancement

• log sensitivity to stop masses

• depend. on stop mass mixing

4tm

tXSM

After 2 -loop corrections

stringent test of the MSSM

mh ≤135 GeV









H/A Higgs searches at the LHCSearches for Non-Standard Neutral Higgs bosons at the LHC

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pp → A /H X , A /H → τ +τ − , rescaling CMS prospects for 30 fb-1(similar for ATLAS)

• Enhancement of Hbb and Abb couplings by factor compared with SM Higgs.

==> large production cross section

==> decay dominated by (with different decay modes of tau leptons)

€

A /H → τ +τ −

€

tan β

Cancellation of effects ==> projections stable

under variations of SUSY space: main variation ==>

Δ tan β ≈ 8 −10

€

A /H → ˜ χ i0 ˜ χ j

0, ˜ χ k± ˜ χ l

m€

Δb

Robustness of results under variations of SUSY space ==>handle on tan beta

M.C, Heinemeyer, Wagner, Weiglein

Kinnunen et al.

b physics, direct dark matter detection and supersymmetric higgs searches at colliders marcela...

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