Interpreting the First CMS and ATLAS SUSY Results

TL;DR

This paper analyzes early LHC results from CMS and ATLAS on supersymmetry, comparing their direct search limits with indirect constraints from Higgs, flavor physics, and dark matter, revealing unexplored regions of parameter space.

Contribution

It extends the analysis of supersymmetry parameter space beyond initial LHC limits, highlighting regions still unconstrained by current data and emphasizing the importance of indirect constraints.

Findings

Significant parameter space excluded by LHC is already constrained by indirect methods.

Unconstrained regions include low gluino masses with heavy squarks.

Much of the hyperbolic branch with low $$ remains untouched by recent LHC results.

Abstract

The CMS and the ATLAS Collaborations have recently reported on the search for supersymmetry with 35 pb$^{-1}$ of data and have put independent limits on the parameter space of the supergravity unified model with universal boundary conditions at the GUT scale for soft breaking, i.e., the mSUGRA model. We extend this study by examining other regions of the mSUGRA parameter space in $A_0$ and $\tan\beta$. Further, we contrast the reach of CMS and ATLAS with 35 pb$^{-1}$ of data with the indirect constraints, i.e., the constraints from the Higgs boson mass limits, from flavor physics and from the dark matter limits from WMAP. Specifically it is found that a significant part of the parameter space excluded by CMS and ATLAS is essentially already excluded by the indirect constraints and the fertile region of parameter space has yet to be explored. We also emphasize that gluino masses as low as 400 GeV but for squark masses much larger than the gluino mass remain unconstrained and further that much of the hyperbolic branch of radiative electroweak symmetry breaking, with low values of the Higgs mixing parameter $\mu$, is essentially untouched by the recent LHC analysis.