Upper bounds on SUSY masses from the LHC

TL;DR

This paper explores how current and future LHC bounds on the Higgs mass can impose upper limits on supersymmetric particle masses within the MSSM and split-SUSY models, refining the parameter space constraints.

Contribution

It provides a detailed analysis of how Higgs mass bounds translate into upper bounds on SUSY particle masses, especially as experimental limits improve.

Findings

Current bounds do not yet constrain MSSM from above.

Future Higgs mass bounds will exclude large MSSM parameter regions.

For split-SUSY, scalar masses cannot exceed 10^{11} GeV with current bounds.

Abstract

The LHC is already putting bounds on the Higgs mass. In this paper we use those bounds to put constrains on the MSSM parameter space coming from the fact that, in supersymmetry, the Higgs mass is a function of the masses of sparticles, and therefore an upper bound on the Higgs mass translates into an upper bound for the masses for superparners. We show that, although current bounds do not constrain yet the MSSM parameter space from above, once the Higgs mass bound improves big regions of this parameter space will be excluded, putting upper bounds on SUSY masses. On the other hand, for the case of split-SUSY we will show that, for moderate or large tan\beta, the present bounds on the Higgs mass already imply that the common mass for scalars cannot be greater than 10^{11} GeV. We show how these bounds will evolve as long LHC improves the limits on the Higgs mass.