Global Fits of the cMSSM and NUHM including the LHC Higgs discovery and new XENON100 constraints

TL;DR

This paper performs comprehensive global fits of the cMSSM and NUHM models incorporating recent LHC, dark matter, and Higgs data, revealing how new constraints shape the preferred parameter spaces and future detection prospects.

Contribution

It provides the first high-resolution Bayesian and profile likelihood maps of cMSSM and NUHM incorporating the latest experimental constraints, highlighting the impact of the Higgs mass measurement.

Findings

Higgs mass constraint rules out large parameter regions.

cMSSM favors light, gaugino-like dark matter around a few hundred GeV.

NUHM prefers heavier sparticles and Higgsino-like neutralino near 1 TeV.

Abstract

We present global fits of the constrained Minimal Supersymmetric Standard Model (cMSSM) and the Non-Universal Higgs Model (NUHM), including the most recent CMS constraint on the Higgs boson mass, 5.8/fb integrated luminosity null Supersymmetry searches by ATLAS, the new LHCb measurement of the Bs to mu+mu- branching ratio and the 7-year WMAP dark matter relic abundance determination. We include the latest dark matter constraints from the XENON100 experiment, marginalising over astrophysical and particle physics uncertainties. We present Bayesian posterior and profile likelihood maps of the highest resolution available today, obtained from up to 350M points. We find that the new constraint on the Higgs boson mass has a dramatic impact, ruling out large regions of previously favoured cMSSM and NUHM parameter space. In the cMSSM, light sparticles and predominantly gaugino-like dark matter with a mass of a few hundred GeV are favoured. The NUHM exhibits a strong preference for heavier sparticle masses and a Higgsino-like neutralino with a mass of 1 TeV. The future ton-scale XENON1T direct detection experiment will probe large portions of the currently favoured cMSSM and NUHM parameter space. The LHC operating at 14 TeV collision energy will explore the favoured regions in the cMSSM, while most of the regions favoured in the NUHM will remain inaccessible. Our best-fit points achieve a satisfactory quality-of-fit, with p-values ranging from 0.21 to 0.35, so that none of the two models studied can be presently excluded at any meaningful significance level.