Status of SUSY Higgs Physics Monoranjan Guchait TIFR, Mumbai EWSB & Flavors in the light of LHC February 20-22, 2014 IIT Guwahati

My sincere apology If I miss your work and references

Outline Higgs discovery. Higgs in Supersymmetry and related Phenomenology. Higgs in non-minimal model

Discovery of Higgs Signal observed above the background about 4.7σ level Talk by Manas

Higgs Properties μ=0.80 ±0.14 ̴ 20% uncertainty. With updgraded LHC, this can come down to 8-10% Spin 0 + is favored

What it is? Hence, it is a “125 GeV Boson/new state”…. But it is a Higgs Boson Is it “the SM Higgs Boson” or “a Higgs boson” from some other model..or something else..  Couplings to WW, ZZ and γγ are as expected in SM.  Couplings are proportional to Masses as predicted by Higgs mechanism.

No evidence of any New Physics …..raising many uncomfortable questions But…. Higgs is discovered

Higgs and New Physics  But a very serious implications are there for BSM  Data is compatible with SM, but sensitivity is % can constrain BSM.  Some models are already “closed”: Higgsless model, fermiophobic, gauge phobic, fourth generation, extreme technicolour.. Some models are very much constrained….  Some models are under tension, many other extension of Higgs model, private, portal light technicolor

Is SM can be regarded as Theory of everything? Is the SM a complete theory? Most probably answer is NO. Many issues(Th+Exp) need to understand, Hierarchy problem.. Neutrino mass, Origin of DM ………………

Beyond SM Supersymmetry and many of its variations Extra dimension, Kaluza Klein, Composite Higgs Little Higgs, Littlest Higgs ………………….

Higgs and Supersymmetry

Implication in SUSY The MSSM: particle content + 2 Higgs doublets 100+ parameters Stabilization of Higgs mass, Hierarchy problem, m(Higgs)<<M(planck) Supersymmetry is not an exact symmetry

Higgs Sector in SUSY

Higgs Masses At tree level, lightest Higgs mass : Higgs masses are calculable: 5 Higgsses:

Lightest Higgs mass at 1-loop Stop masses play an important role, connected with the Higgs

Stop Sector Stop mixing matrix in the basis :

Lightest Higgs masses No(Maximal) mixing At 1-loop correction, ̴̴ GeV for stop masses < 1 TeV and no mixing scenario

Upper bound on lightest Higgs Mass Very strong prediction For M SUSY ̴ 1 TeV. An upper bound of 135 GeV of lightest higgs can be achieved GeV

Higgs Masses

Implications A Higgs of mass 125 ±2 GeV is observed. What are the implications In SUSY models? What happens to the Higgs sector? What are the implications of Higgs discovery in other particle searches, in particular stop searches?

Lightest Higgs mass and stop sector Maximal mixing is favored, otherwise, requires heavy stop Hall et. al,12

Lightest Higgs mass and stop sector In pMSSM Large M S values with moderate mixings and high tanβ are preferred Djouadi et. al ‘12

Prediction for stops For large mixing, stop masses are within the reach of LHC and if it found, then this form of MSSM may be valid. If LHC does not find stop, need to think some other form of SUSY models.

Stop searches at the LHC Stop mass ̴ GeV excluded depending on LSP mass.

Improved calculation of Higgs mass Codes SoftSUSy, Spheno, and SusPect calculates the Higgs mass full One loop + dominant 2 loop contributions from top/stop loops Recent calculation taking leading Three loops using DR or a hybrid renormalization scheme for stop sector where is the numerical evaluation Depends on various SUSY hierarchies. FeynHiggs version 2.10 full one loop + two loop leading and subleading contribution + resummation of leading and next to leading contributions Allanach, et. Al., Porod et. Al, Djouadi et. Al. Harlander et. Al. Heinemeyer et. Al

Improved calculation of Higgs Mass Heinemeyer et. al

Impact on Models O. Buchmuller, et. al

MA-tanβ exclusion

MH-mod scenario mh-max scenario was designed to get large Higgs mass, with sparticle masses set to > 1 TeV. Now, with the present Higgs mass, relaxing mh-max scenario, possible to obtain desired Higgs mass

Mh-mod scenario:MA-tanβ exclusion

MSSM: Charged Higgs

Beyond MSSM In MSSM, getting the correct Higgs mass is not so trivial. Need higher SUSY scales, fine tuning which is not very interesting from phenomenological point of view. May be LHC data give hints to go beyond MSSM, (M+1) SSM= NMSSM

μ-problem In MSSM: If μ is generated dynamically, can be controlled.

NMSSM Model The superpotential, Four new parameters : : dimensionless : dimension full ̴ M SUSY Some additional terms are not considered in general MSSM, like tadpole terms etc.

NMSSM: Higgs Potential With: Tree level Higgs potantial:

Higgs spectrum Mass terms : 7 Higgsses Singlet like CP even: CP odd:

NMSSM: μ problem A vev of S, of the order of the weak or SUSY breaking scale generates μ-term with It solves mu problem. Phenomenological constrained, lighter chargino > 100 GeV,

Lightest Higgs Mass The lightest Higgs mass:, the SM like, largest coupling with the gauge boson, Contribution due to the singlet int For large values of λ, and for small tanβ, the second term grows, possible to achieve larger Higgs mass at tree level. For λ ̴ 0.7 – 0.8, Higgs mass cannot be raised above 125 GeV at tree level. To recover 125 GeV Higgs mass, we need, another ̴ 25 GeV contribution to the tree level mass.

Higgs Mass at one loop Loop level contribution make Higgs mass favorable value

Lightest Higgs Mass Ellwanger and Hugonie, ‘06 Mt=178 GeV Mt=171.4 GeVMSSM Mt=178 GeV MSSM Mt=171 GeV

All Higgs Masses

Lightest Higgs Mass SM like Tree level mass L. Hall et. al. ‘11

Higgs Mixings Mixing of CP odd Higgs P 2 is singlet like, If M A is large, mixing is small, A 1 is completely singlet like A 2 has finite singlet component. And for CP even Higgs, O ij is a diagnolizing matrices and also determine couplings., it controls Couplings.

SUM RULES

Higgs couplings The treel level couplings between charged Higgs and fermions/gauge bosons sams as MSSM Couplings A 1,2 to SM particles are same as MSSM, but multiplied by a dilution factors, related with mixings Coulings for h 1 and SM particle can be read off by replacing Cosα and sinβ by the i-th eigen vector of diagonalizing matrices. A pure singlet SU(2) components has valising couplings with fermions and gauge bosons, then it is difficult to search those higgs masses at the the collider.

ZZH reduced couplings Non observation of Higgs in LEP Light CP scalars are not ruled out by LEP, because of reduced couplings. For ξ ̴ 0, the H 1 is difficult to produce, H 2 is sensitive to Higgs searches, possibility of another lighter Higgs to exist.

NMSSM Higgs in in B-Factory Prasad, Bipul, Poulose, 12

NMSSM Higgs at the LHC

Higgs production at the LHC Signal depend on the standard higgs discovery modes

NMSSM Higgs at the LHC Higgs discovery is same as MSSM channels, but sensitivity depends on the doublet-singlet mixings. Interestingly, higgs to higgs decays, h→AA decays give rich phenomenology. Gunion et. Al., Poulose, Moretti et. al., Dproy, Drees, MG, …. If lighter state, possibly below LEP limits, is SM like and strongly mixed, less coupling with b-quarks, enhanced decay rates In photonic channel. G. Belanger et. al ‘12, …. There are scenario where the SM like state is H 2 and the lightest state is H 1 (70 – 100 GeV), singlet like. Distinguishing feature of NMSSM

Outlook Discovery of 125 GeV Higgs open up new era in particle physics. Although, it is very much SM-like, possibility of other BSM are not ruled out. May be, this Higgs is the first piece of BSM, which has been discovered. In minimal Supersymmetry, it can be confirmed by discovering sparticles, mainly lighter Stop, and non-minimal SUSY model, in addition more lighter states of Higgs are required to be discovered. A rich phenomenology and experimental program is ahead in the next generation of LHC.

Thank you