Upper bounds on SUSY masses from the LHC

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 tanβ, 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.

Figures (2)

• Figure 1: Bands of constant $\tan\beta$ in the $M_{SUSY}-m_h$ (left panel) and constant Higgs mass in the $\tan\beta-M_{SUSY}$ plane (right panel) for the MSSM. From top to bottom $\tan\beta = 10\ ,3,\ 1$ and $m_h=140,130,120,115$ GeV respectively. The low (gray) horizontal band stands for the direct LHC lower bounds on $M_{\rm SUSY}$ (see text).
• Figure 2: The same as Fig.1 but for split-SUSY. In the $\tan\beta-M_{SUSY}$ plane, from top to bottom $m_h=150, 140, 130, 120, 115$ GeV.