The post-Higgs MSSM scenario: habemus MSSM?

A Djouadi,J Quevillon,G Moreau,L Maiani,A Polosa,V Riquer

doi:10.1140/epjc/s10052-013-2650-0

Abstract

We analyze the Minimal Supersymmetric extension of the Standard Model that we have after the discovery of the Higgs boson at the LHC, the hMSSM (habemus MSSM?), i.e. a model in which the lighter h boson has a mass of approximately 125 GeV which, together with the non-observation of superparticles at the LHC, indicates that the SUSY-breaking scale M S is rather high, M S≳1 TeV. We first demonstrate that the value M h≈125 GeV fixes the dominant radiative corrections that enter the MSSM Higgs boson masses, leading to a Higgs sector that can be described, to a good approximation, by only two free parameters. In a second step, we consider the direct supersymmetric radiative corrections and show that, to a good approximation, the phenomenology of the lighter Higgs state can be described by its mass and three couplings: those to massive gauge bosons and to top and bottom quarks. We perform a fit of these couplings using the latest LHC data on the production and decay rates of the light h boson and combine it with the limits from the negative search of the heavier H,A and H ± states, taking into account the current uncertainties.

Highlights

The impact of the Higgs discovery is two-fold
The Minimal Supersymmetric Standard Model (MSSM) that we currently have, and that we call hMSSM in the subsequent discussion, appears to have Mh ≈ 125 GeV and MS 1 TeV. It was pointed out in Refs. [13,14,15] that when the information Mh = 125 GeV is taken into account, the MSSM Higgs sector with solely the dominant radiative correction to the Higgs boson masses included, can be again described with only the two free parameters tan β and MA as it was the case at tree level
We have discussed the hMSSM, i.e. the MSSM that we seem to have after the discovery of the Higgs boson at the LHC that we identify with the lighter h state

Summary

Introduction

The impact of the Higgs discovery is two-fold. On the one hand, it gives support to the MSSM in which the lightest Higgs boson is predicted to have a mass below ≈130 GeV when the radiative corrections are included [6,7,8,9,10,11]. We show that to a good approximation, this remains true even when the full set of radiative corrections to the Higgs masses at the two-loop level is included This is demonstrated in particular by performing a full scan on the MSSM parameters that have an impact on the Higgs sector such as for instance tan β and the stop and sbottom mass and mixing parameters. There are possibly large direct SUSY radiative corrections that modify the Higgs boson couplings and which might alter this simple picture Among such corrections are, for instance, the stop contribution [16,17,18,19] to the dominant Higgs production mechanism at the LHC, the gluon fusion process gg → h, and to the important decay into two photons h → γ γ , and the additional one-loop vertex corrections to the h couplings to b-quarks that grow with tan β [20]. A brief discussion and a conclusion are given in Sect. 4 and a short Appendix collects a set of formulas used in this analysis

Post Higgs discovery parametrization of radiative corrections

Determination of the h boson couplings in a generic MSSM

Findings

Conclusion