Implications of the Higgs Boson Discovery for mSUGRA
Sujeet Akula, Pran Nath, Gregory Peim

TL;DR
This paper uses Bayesian analysis to explore the mSUGRA parameter space constrained by the Higgs boson discovery, providing insights into sparticle masses, dark matter detection prospects, and implications for LHC supersymmetry searches.
Contribution
It presents a comprehensive Bayesian analysis of mSUGRA parameters incorporating the Higgs mass constraint, setting bounds on sparticle masses and dark matter cross sections.
Findings
m_{1/2} can be sub-TeV
A_0/m_0 is confined to |A_0/m_0| ≤ 1
Gluino, chargino, and stop are the most likely light sparticles
Abstract
A Bayesian analysis is carried out to identify the consistent regions of the mSUGRA parameter space, where the newly-discovered Higgs boson's mass is used as a constraint, along with other experimental constraints. It is found that can lie in the sub-TeV region, is mostly confined to a narrow strip with , while is typically a TeV or larger. Further, the Bayesian analysis is used to set 95% CL lower bounds on sparticle masses. Additionally, it is shown that the spin independent neutralino-proton cross section lies just beyond the reach of the current sensitivity but within the projected sensitivity of the SuperCDMS-1T and XENON-1T experiments, which explains why dark matter has thus far not been detected. The light sparticle spectrum relevant for the discovery of supersymmetry at the LHC are seen to be the gluino, the chargino and the stop with…
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