Bayesian approach and Naturalness in MSSM analyses for the LHC

Abstract

The start of LHC has motivated an effort to determine the relative probability of the different regions of the MSSM parameter space, taking into account the present, theoretical and experimental, wisdom about the model. Since the present experimental data are not powerful enough to select a small region of the MSSM parameter space, the choice of a judicious prior probability for the parameters becomes most relevant. Previous studies have proposed theoretical priors that incorporate some (conventional) measure of the fine-tuning, to penalize unnatural possibilities. However, we show that such penalization arises from the Bayesian analysis itself (with no ad hoc assumptions), upon the marginalization of the mu-parameter. Furthermore the resulting effective prior contains precisely the Barbieri-Giudice measure, which is very satisfactory. On the other hand we carry on a rigorous treatment of the Yukawa couplings, showing in particular that the usual practice of taking the Yukawas "as required", approximately corresponds to taking logarithmically flat priors in the Yukawa couplings. Finally, we use an efficient set of variables to scan the MSSM parameter space, trading in particular B by tan beta, giving the effective prior in the new parameters. Beside the numerical results, we give accurate analytic expressions for the effective priors in all cases. Whatever experimental information one may use in the future, it is to be weighted by the Bayesian factors worked out here.

LaTeX, 19 pages, 3 figures

References in corpus (23)

• A Supersymmetry Primer
• Bayes in the sky: Bayesian inference and model selection in cosmology
• Precision Corrections in the Minimal Supersymmetric Standard Model
• SOFTSUSY: a program for calculating supersymmetric spectra
• Multi-TeV Scalars are Natural in Minimal Supergravity
• Focus Points and Naturalness in Supersymmetry
• One-Loop Analysis of the Electroweak Breaking in Supersymmetric Models and the Fine-Tuning Problems
• A Markov Chain Monte Carlo Analysis of the CMSSM
• The impact of priors and observables on parameter inferences in the Constrained MSSM
• Neutrino oscillations and signals in beta and 0nu2beta experiments
• Measures of fine tuning
• Multi-Dimensional mSUGRA Likelihood Maps
• Naturalness Priors and Fits to the Constrained Minimal Supersymmetric Standard Model
• Implications for the Constrained MSSM from a new prediction for b to s gamma
• Natural ranges of supersymmetric signals
• Natural Priors, CMSSM Fits and LHC Weather Forecasts
• Naturalness bounds on gauge mediated soft terms
• Implications for New Physics from Fine-Tuning Arguments: I. Application to SUSY and Seesaw Cases
• Predictions for Supersymmetric Particle Masses in the CMSSM using Indirect Experimental and Cosmological Constraints
• Implications for New Physics from Fine-Tuning Arguments: II. Little Higgs Models
• Gauge-Mediated Supersymmetry Breaking: Introduction, Review and Update
• A New Measure of Fine Tuning
• Naturalness of supersymmetric models

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