# Presentation: 214067

## Probing SUSY with Higgs and B physics at the Tevatron and the LHC

- Marcela Carena
- Theoretical Physics Department, Fermilab

- D. Garcia, U. Nierste and C. Wagner,  Nucl. Phys. B577, 2000; Phys. Lett. B499, 2001
- S.Heinemeyer, C. Wagner and G. Weiglein, Eur.Phys. J.C45, 2006
- A. Menon, R. Noriega, A Szynkman and C. Wagner, hep-ph/0603106
- A. Menon and C. Wagner, in preparation

- Based on works done in collaboration with:

- Los Alamos National Laboratory,
- Santa Fe 2006 Summer Workshop: ``Particle Theory and the LHC''
- Santa Fe, NM, July 23 - 29, 2006

## Outline

-   **--  **       **enhanced loop corrections to neutral Higgs-fermion couplings**
-                   ==> Flavor conserving processes :
-            Non-Standard MSSM Higgs production at the Tevatron and LHC
-                    ==> Flavor Changing Neutral Currents  (FCNC)

-   Introduction ==> Higgs and Flavor in the Standard Model

-   The Flavor Issue in Supersymmetry ==> Minimal Flavor Violation (MFV)

**-- ****Loop FC effects in the Charged Higgs-fermion couplings**
**                **==>

-   Conclusions

-     Probing SUSY parameters through  B and Higgs Physics at the
-      Tevatron and LHC

## The Flavor Structure in the SM

-    In the mass eigenstate basis, the interactions of the Higgs field 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 ==> transitions between different flavors
-     are suppressed in the SM
-    The Higgs sector and the neutral gauge interactions do not lead to FCNC

## FC effects in B observables in the SM       

- Flavor eigenstates mix via weak interactions

-       BH and BL differ from CP eigenstates:

**Mass eigenstates**:

- The B meson mass matrix

**A) **_**Bs mixing**_

- Short distance QCD corrections

- Box-diagram

## Direct  Measurement and Global CKM Fit

- Using ratio

- Minimize QCD lattice
- uncertainty providing a
- measurement of

-  SM fit:

## B) Rare decay rate 

-   Present CDF limit:

- C) Rare decay rate

- Estimated bound on New Physics
- using Belle results ==> Neubert 05

## D)               transition 

- In agreement with SM
- within errors

## Flavor Beyond the Standard Model

**Two Higgs doublet Models:**
-             Yukawa interactions ==>
- The  Higgs doublets acquire different v.e.v.’s and  the mass matrix reads
-                                ==>
- Diagonalization of the mass matrix will not give diagonal Yukawa couplings ==> will induce large, usually unacceptable FCNC in the Higgs sector
- _Easiest solution_:  One Higgs doublet couples only  to down quarks and the other couples to up quarks only

-  Supersymmetry, at tree level

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

## 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
- The diagonal entries are 3x3 matrices with                  the soft SUSY breaking mass matrices and the rest proportional to the Yukawa or
- The off-diagonal matrices are proportional to the Yukawa and to the soft SUSY breaking matrices Ad  coming from the trilinear interactions of the Higgs doublets with the sfermions

## Minimal Flavor Violation

-        1) Both Higgs doublets couple to up and down sectors
-            ==> important effects in the B system at large tan beta
-         2) Soft SUSY breaking 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’Ambrosio, Giudice, Isidori, Strumia

- Isidori, Retico
- Buras et al.

##          enhanced loop corrections to neutral Higgs-fermion couplings

_**         **__**enhanced loop corrections **__**to neutral Higgs-fermion couplings**_

- Dependence
- on SUSY
- parameters

**  **_**In terms of the quark mass eigenstates   **_

-   R diagonal

- Dedes , Pilaftsis

## Flavor Conserving Higgs-fermion couplings

- 2 Higgs SU(2) doublets      and      : after Higgs Mechanism
-                         ==> 5 physical states:  2 CP-even   h, H      with mixing angle
-                                                               1 CP-odd      A        and a charged pair
- such that :
- Hence:

## Non-Standard Higgs Production at the Tevatron and LHC

**      **Enhanced couplings to b quarks  and tau-leptons
-       Considering value of running bottom mass and 3 quark colors

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

## Searches for Non-Standard Higgs bosons at the Tevatron

**  **Enhanced reach for negative values of
-   Strong dependence on SUSY parameters

**A) In the bb mode  ==> probe large region of                   plane**** **

- M. C. et al. hep-ph/0511023

## B) In the tau tau inclusive mode

** **Important reach for  large tanb, small mA
-  Weaker dependence on SUSY parameters via radiative corrections

- M. C. et al. hep-ph/0511023

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

**In the MFV scenario, the neutral Higgs flavor changing Lagrangian****  **

- Example: case of universal soft SUSY squark mass parameters

-  Effects of RG evolution proportional to

-    L-H. squarks are not diagonalized by the same rotation as L-H. quarks
** ****==> **induces FC in the left-handed quark-squark-gluino vertex prop VCKM

##           Correlation between Bs mixing and       due to          enhanced Higgs mediated flavor violating effects    

-  SUSY contributions strongly correlated, and for Minimal Flavor Violation

- Negative sign with respect to SM

##   What can we learn from Bs-mixing?

- Upper bound on NP from CDF ==>

- _How strong is the bound on_                            ?

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

- A/H at the reach of the Tevatron or  the LHC
-   strong constraints on

## Flavor Changing in the charged Higgs coupling

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

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

## Important SUSY contributions to 

-  Charged Higgs amplitude in the large tanb limit

- If:  At ~0 (==> small stop mixing ==> light SM-like Higgs at Tevatron reach!)
- ==>small contributions to             from chargino-stops
-          + large                 ==> cancellation of charged Higgs contribution
-                                    NO constraint on tanb-ma plane from

-  Chargino-Stop amplitude

- Recall: bound on New Physics using Belle result : Neubert’05 ==>

## B and Higgs Physics at the Tevatron and the LHC  explore complementary regions of SUSY parameter space

_**B and Higgs Physics at the Tevatron and the LHC **_** **explore complementary regions of SUSY parameter space

_**Large to moderate values of X**__**t**_  ==> SM like Higgs heavier than 120 GeV

**    **

- Experimental bound ==> small

- _Tevatron Higgs reach with 1fb_-1

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

## Tevatron/LHC Non-Standard Higgs searches at small Xt , sizeable

**Tevatron/LHC Non-Standard Higgs searches at small X****t ****, sizeable**

- Interesting region since light SM-like Higgs lighter than 125 GeV
- No constraints from
- Mild constraints from

- BUT, important constraint from recent measurement of

**Red lines:**_** Tevatron and LHC Higgs reach: **_

- M.C., Menon, Wagner

**LHC  (30  fb****-1****)**** **

**TeV: 1fb****-1             ****4fb****-1 **

##  Tevatron and LHC searches at small/moderate Xt  and large mu 

-   H/A Higgs reach is marginal at the Tevatron, unless                            observed as well
-   A relatively large region of SUSY parameter space can be probed at the LHC even for           relatively “low” luminosities

## Conclusions

-  Bs-mixing measurement  ==> consistent with the SM, within errors.
-   ==> in MFV SUSY models, with large tanb,  consistent with                        bound.
- However, it imposes strict constraints on General Flavor Violation SUSY Models.

_**Conclusions**_

-                                                a better agreement between theory and experiment  can be accomodated in MFV via large tanb effects,
-     and can be probed by improving the reach on

## Conclusions  (continued)

-  ==> good for the Tevatron ==> has sensitivity to discover all 3 MSSM neutral Higgs bosons

_**Conclusions**_**  **(continued)

**The Non-Standard MSSM Higgs searches at the Tevatron and the LHC**
**    ****can be strongly constrained by B physics measurements depending **
**on the SUSY parameter space****.**

- --  Discovery of H/A at the Tevatron, without positive results from leptonic rare
-     Bs decay  ==> small Xt an large    or  Deviations from MFV

- -- Non-observation of                    at the Tevatron  ==> reduced parameter space for
-  non-Standard MSSM Higgs searches at the LHC, specially for large Xt and

** ****Tevatron results will yield important information for the LHC**

- -- sizeable LR stop mixing <==> small/moderate mu ==> B searches more powerful

-     --  increasing the stop mixing for sizeable mu
-      ==>  Tevatron A/H searches become marginal, but excellent window of opportunity for  LHC

## EXTRAS

-   Other Examples ==> MFV from GUT’s and General Flavor SUSY Models

-   Direct SUSY Dark Matter detection <==> Higgs searches at the Tevatron

## Light stop scenario ==> compatible with Electroweak Baryogenesis

- Light stop scenario ==> compatible with Electroweak Baryogenesis

**Within this scenario,  small values of mu  (< 250 GeV) are  strongly disfavor by bounds from Bs-mixing  **

## MFV Models with Grand Unification

-   defined at the GUT scale
- --  gauge coupling and gaugino mass unification
- --  Non-universal squark and  trilinear mass parameters

- Lunghi, Vives, Porod, hep-ph/0605177

_**MFV Models with Grand Unification**_

- Large contributions to Bs-mixing strongly constrained by

## General Flavor Violation Models in SUSY (GFVM)

- In GFVM ==> flavor violating entries of the squarks
- and trilinear mass parameters treated as being arbitrary

-     Strict new constraints on general models of SUSY flavor violation arise form
-      recent data on

- Tevatron measurement
- of
- ==> RR insertions are
-  forbidden or,  At and/or
-  tanb must be very small

## CDMS  DM searches Vs the Tevatron H/A searches 

**CDMS  DM searches Vs the Tevatron H/A searches**

- ==> CDMS  current limits disfavor discovery of H/A at the Tevatron, unless the neutralino
-        has a large higgsino component

- CDMS 2007 Projection

- M.C, Hooper, Skands, hep-ph/0603180

- ==> a positive signal at CDMS will be very encouraging for Higgs searches

-  If the lightest neutralino makes up the DM of the universe

**LEP excluded**

** ****CDMS 2007**

**Current CDMS**