Bayesian naturalness of the CMSSM and CNMSSM

Understand

The recent discovery of the 125.5 GeV Higgs boson at the LHC has fueled interest in the next-to-minimal supersymmetric standard model (NMSSM) as it may require less fine-tuning than the minimal model to accommodate such a heavy Higgs.

• To this end we present Bayesian naturalness priors to quantify fine-tuning in the (N)MSSM.
• These priors arise automatically as Occam razors in Bayesian model comparison and generalize the conventional Barbieri-Giudice measure.
• In this paper we show that the naturalness priors capture features of both the Barbieri-Giudice fine-tuning measure and a simple ratio measure that has been used in the literature.