Likelihood analysis of the constrained minimal supersymmetric standard model parameter space

John Ellis, Keith A. Olive, Yudi Santoso, Vassilis C. Spanos

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Abstract

We present a likelihood analysis of the parameter space of the constrained minimal supersymmetric extension of the standard model (CMSSM), in which the input scalar masses [Formula Presented] and fermion masses [Formula Presented] are each assumed to be universal. We include the full experimental likelihood function from the CERN LEP Higgs boson search as well as the likelihood from a global precision electroweak fit. We also include the likelihoods for [Formula Presented] decay and (optionally) [Formula Presented] For each of these inputs, both the experimental and theoretical errors are treated. We include the systematic errors stemming from the uncertainties in [Formula Presented] and [Formula Presented] which are important for delineating the allowed CMSSM parameter space as well as calculating the relic density of supersymmetric particles. We assume that these dominate the cold dark matter density, with a density in the range favored by the Wilkinson Microwave Anisotropy Probe. We display the global likelihood function along cuts in the [Formula Presented] planes for [Formula Presented] and both signs of μ, [Formula Presented] [Formula Presented] and [Formula Presented] [Formula Presented] which illustrate the relevance of [Formula Presented] and the uncertainty in [Formula Presented] We also display likelihood contours in the [Formula Presented] planes for these values of [Formula Presented] The likelihood function is generally larger for [Formula Presented] than for [Formula Presented] and smaller in the focus-point region than in the bulk and coannihilation regions, but none of these possibilities can yet be excluded.

Original languageEnglish (US)
Pages (from-to)15
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume69
Issue number9
DOIs
StatePublished - 2004

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