Constrained Supersymmetry after two years of LHC data: a global view with Fittino

TL;DR

This paper performs comprehensive global fits of the CMSSM and NUHM1 models incorporating recent LHC data, dark matter constraints, and low-energy observables, revealing tensions and potential signals consistent with a Higgs around 126 GeV.

Contribution

It provides the first global fit analysis of CMSSM and NUHM1 models including latest LHC exclusions, dark matter searches, and Higgs mass constraints, highlighting emerging tensions and viable parameter regions.

Findings

Best fit favors a light Higgs just above exclusion limits.

Increasing tension between low-energy observables and LHC non-observation of SUSY.

Next-generation dark matter experiments will probe the favored regions.

Abstract

We perform global fits to the parameters of the Constrained Minimal Supersymmetric Standard Model (CMSSM) and to a variant with non-universal Higgs masses (NUHM1). In addition to constraints from low-energy precision observables and the cosmological dark matter density, we take into account the LHC exclusions from searches in jets plus missing transverse energy signatures with about 5\,fb$^{-1}$ of integrated luminosity. We also include the most recent upper bound on the branching ratio $B_s\to\mu\mu$ from LHCb. Furthermore, constraints from and implications for direct and indirect dark matter searches are discussed. The best fit of the CMSSM prefers a light Higgs boson just above the experimentally excluded mass. We find that the description of the low-energy observables, $(g-2)_{\mu}$ in particular, and the non-observation of SUSY at the LHC become more and more incompatible within the CMSSM. A potential SM-like Higgs boson with mass around 126 GeV can barely be accommodated. Values for ${\cal B}(B_s\to\mu\mu)$ just around the Standard Model prediction are naturally expected in the best fit region. The most-preferred region is not yet affected by limits on direct WIMP searches, but the next generation of experiments will probe this region. Finally, we discuss implications from fine-tuning for the best fit regions.