Work

Where to look for natural supersymmetry

Year: 2016
Type: article
Abstract: Why is natural supersymmetry neither detected nor ruled out to date? To answer this question we use the Bayesian approach where the emphasis in finding prior-independent features within broader and minimally biased frames is taken as the guiding principle. The 20-parameter minimal supersymmetric standard model (MSSM) global fits to subjective naturalness indicate the existence of a prior-independent upper bound on the pseudoscalar Higgs boson mass ${m}_{A}$ as a function of $\mathrm{tan}\ensuremath{\beta}$, the ratio of the vacuum expectation values of MSSM Higgs doublets. For a 30-parameter MSSM this implies that ${m}_{A}\ensuremath{\lesssim}3\text{ }\text{ }\mathrm{TeV}$ and $\mathrm{tan}\ensuremath{\beta}\ensuremath{\lesssim}25$ at 95% Bayesian confidence. Removing the contradictory subjectiveness within the electroweak fine-tuning measure leads to finding the naturalness line, ${m}_{A}\ensuremath{\sim}\frac{1}{\sqrt{2}}{m}_{Z}\mathrm{tan}\ensuremath{\beta}$, that reduces by one the number of MSSM Higgs sector free parameters.
Language: English
Open Access status: green
OpenAlex ID: W1753045366
FWCI: 1.114
Cites: 76
Cited by: 18
Related to: 10