Beyond the MSSM Higgs bosons at 125 GeV

Beyond the MSSM framework is an effective theory approach that encapsulates a variety of extensions beyond the MSSM with which it shares the same field content. The lightest Higgs mass can be much heavier than in the MSSM without creating a tension with naturalness or requiring superheavy stops. The phenomenology of the Higgs sector is at the same time much richer. We critically review the properties of a Higgs with mass around 125 GeV in this model. In particular, we investigate how the rates in the important inclusive 2γ channel, the 2γ+2 jets and the ZZ→4l (and/or $WW$) can be enhanced or reduced compared to the standard model and what kind of correlations between these rates are possible. We consider both a vanilla model where stops have moderate masses with no trilinear stop mixing term and a model having a large stop mixing with a light stop. We show that in both cases there are scenarios that lead to enhancements in these rates at a mass of 125 GeV corresponding to either the lightest Higgs or the heaviest $CP$-even Higgs of the model. In all of these scenarios we study the prospects of finding other signatures of either the 125 GeV Higgs or those of the heavier Higgses. In most cases the ττ channels are the most promising. Exclusion limits from the recent LHC Higgs searches are folded in our analyses while the tantalizing hints for a Higgs signal at 125 GeV are used as an example of how to constrain beyond the MSSM and/or direct future searches.