Bayesian naturalness of the CMSSM and CNMSSM

Abstract

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. We also show that according to the naturalness prior the constrained version of the NMSSM is less tuned than the CMSSM.

8 pages and 5 figures

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Cited by in corpus (27)

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• Upper bounds on sparticle masses from naturalness or how to disprove weak scale supersymmetry
• Higgs mass predictions of public NMSSM spectrum generators
• Current Status of Natural NMSSM in Light of LHC 13TeV Data and XENON-1T Results
• GAMBIT and its Application in the Search for Physics Beyond the Standard Model
• Solving the muon g-2 anomaly in CMSSM extension with non-universal gaugino masses
• A comparison of optimisation algorithms for high-dimensional particle and astrophysics applications
• Naturalness of the relaxion mechanism
• The current status of fine-tuning in supersymmetry
• Naturalness versus stringy naturalness (with implications for collider and dark matter searches)
• Light Stops and Observation of Supersymmetry at LHC RUN-II
• Singlino-dominated dark matter in $Z_3$-NMSSM
• Status and prospects of the nMSSM after LHC Run-1
• Z' mass limits and the naturalness of supersymmetry
• Gluino Coannihilation and Observability of Gluinos at LHC RUN II
• Is the CNMSSM more credible than the CMSSM?
• Naturalness of scale-invariant NMSSMs with and without extra matter
• The Super-Natural Supersymmetry and Its Classic Example: M-Theory Inspired NMSSM
• Supersoft Supersymmetry, Conformal Sequestering, and Single Scale Supersymmetry Breaking
• Bayesian analysis and naturalness of (Next-to-)Minimal Supersymmetric Models
• Prospects for higgsino-singlino dark matter detection at IceCube and PINGU
• Dominant production of heavier Higgs bosons through vector boson fusion in NMSSM
• Bayesian naturalness, simplicity, and testability applied to the $B-L$ MSSM GUT
• The Light Higgsino-dominated NLSPs in the Semi-constrained NMSSM
• Naturalness and a light $Z^{\prime }$
• Naturalness-guided Gluino Mass Bound from the Minimal Mixed Mediation of SUSY Breaking