Eur. Phys. J. C (2013) 73: 2403
https://doi.org/10.1140/epjc/s10052-013-2403-0

Regular Article - Theoretical Physics

The Higgs mass beyond the CMSSM

¹ Theoretical Physics and Cosmology Group, Department of Physics, King’s College London, London, WC2R 2LS, UK
² TH Division, Physics Department, CERN, 1211, Geneva 23, Switzerland
³ William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, 55455, USA
⁴ Department of Physics, University of Utah, Salt Lake City, UT, 84112, USA

^* e-mail: sandick@physics.utah.edu

Received: 27 December 2012
Revised: 6 February 2013
Published online: 23 April 2013

Abstract

The apparent discovery of a Higgs boson with mass ∼125 GeV has had a significant impact on the constrained minimal supersymmetric extension of the Standard Model (the CMSSM). Much of the low-mass parameter space in the CMSSM has been excluded by supersymmetric particle searches at the LHC as well as by the Higgs mass measurement and the emergent signal for B _s →μ ⁺ μ ⁻. Here, we consider the impact of these recent LHC results on several variants of the CMSSM with a primary focus on obtaining a Higgs mass of ∼125 GeV. In particular, we consider the one- and two-parameter extensions of the CMSSM with one or both of the Higgs masses set independently of the common sfermion mass, m ₀ (the NUHM1,2). We also consider the one-parameter extension of the CMSSM in which the input universality scale M _in is below the GUT scale (the sub-GUT CMSSM). Finally, we reconsider mSUGRA models with sub-GUT universality, which have the same number of parameters as the CMSSM. We find that when M _in<M _GUT large regions of parameter space open up where the relic density of neutralinos can successfully account for dark matter with a Higgs boson mass ∼125 GeV. Interestingly, we find that the preferred range of the A-term in sub-GUT mSUGRA models straddles that predicted by the simplest Polonyi model.