Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2008/10/064
Keywords
Supersymmetric Standard Model; Supersymmetry Phenomenology
Categories
Funding
- STFC
- EU FP6 Marie Curie Research AMP
- Training Network [MRTN-CT-2006-035863]
- Cambridge Commonwealth Trust
- Isaac Newton Trust
- Pakistan Higher Education Commission Fellowships
- Gates Cambridge Trust
- Royal Astronomical Society, St Anne's College, Oxford
- European Network of Theoretical Astroparticle Physics ENTApP ILIAS/N6 [RII3-CT-2004-506222]
- Science and Technology Facilities Council [ST/G000581/1] Funding Source: researchfish
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We study the properties of the constrained minimal supersymmetric standard model (mSUGRA) by performing fits to updated indirect data, including the relic density of dark matter inferred from WMAP5. In order to find the extent to which mu < 0 is dis-favoured compared to mu > 0, we compare the Bayesian evidence values for these models, which we obtain straightforwardly and with good precision from the recently developed multi-modal nested sampling ('MultiNest') technique. We find weak to moderate evidence for the mu > 0 branch of mSUGRA over mu < 0 and estimate the ratio of probabilities to be P( mu > 0)/P( mu < 0) = 6-61 depending on the prior measure and range used. There is thus positive ( but not overwhelming) evidence that mu > 0 in mSUGRA. The MULTINEST technique also delivers probability distributions of parameters and other relevant quantities such as superpartner masses. We explore the dependence of our results on the choice of the prior measure used. We also use the Bayesian evidence to quantify the consistency between the mSUGRA parameter inferences coming from the constraints that have the largest effects: (g-2)(mu), BR(b -> s gamma) and cold dark matter (DM) relic density Omega(DM)h(2).
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