The post-Higgs MSSM scenario: Habemus MSSM?

TL;DR

This paper examines the post-Higgs discovery MSSM scenario, demonstrating that the Higgs mass constrains the model's parameters and analyzing how current LHC data limits the properties of supersymmetric Higgs states.

Contribution

It provides a simplified description of the Higgs sector in the high-scale MSSM and fits its couplings to recent LHC data, considering the non-observation of additional Higgs states.

Findings

Higgs mass constrains dominant radiative corrections in MSSM

Higgs phenomenology can be described by mass and three couplings

Current LHC data limits the parameter space of MSSM Higgs sector

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 $M_h \approx 125$ 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 $H^\pm$ states, taking into account the current uncertainties.