Eviction of a 125 GeV "heavy"-Higgs from the MSSM

TL;DR

This paper demonstrates that current experimental data already exclude the MSSM scenario where the 125 GeV Higgs is the second lightest Higgs, using analytical methods and key observable constraints.

Contribution

We provide an analytical proof that current LHC constraints rule out the 125 GeV Higgs as the second lightest MSSM Higgs, improving upon previous numerical studies.

Findings

Current LHC constraints exclude the 125 GeV Higgs as the second MSSM Higgs.

Analytical expressions simplify the exclusion proof.

Difficulty in interpreting CMS gamma-gamma excess within MSSM.

Abstract

We prove that the present experimental constraints are already enough to rule out the possibility of the ~125 GeV Higgs found at LHC being the second lightest Higgs in a general MSSM context, even with explicit CP violation in the Higgs potential. Contrary to previous studies, we are able to eliminate this possibility analytically, using simple expressions for a relatively small number of observables. We show that the present LHC constraints on the diphoton signal strength, tau-tau production through Higgs and BR(B -> X_s gamma) are enough to preclude the possibility of H_2 being the observed Higgs with m_H~125 GeV within an MSSM context, without leaving room for finely tuned cancellations. As a by-product, we also comment on the difficulties of an MSSM interpretation of the excess in the gamma-gamma production cross section recently found at CMS that could correspond to a second Higgs resonance at m_H~136 GeV.