The low-energy phenomenology of a supersymmetric extension of the standard model

Abstract

We attempt to explore the relationship between low-energy phenomenology and the pattern of Yukawa couplings at high-energies.  A working supersymmetric Pati-Salam model which fits all phenomenological constraints is constructed.  This model is typical of a broad class of models and its predictions are representative of all models of this type.  A χ² analysis is used to determine points in parameter space where experimental measurements and bounds are most accurately reproduced.  These best fit points are then be used to make predictions for unmeasured quantities such as neutrino mixing angles and lepton flavour violating decays.  For example we find that the branching ratio for τ → μγ is very near its present experimental bound.  In the context of this model we also study the degree of deviation from Yukawa unification observed by our best fit points.  The effects of future experimental results upon the best fit regions of parameter space are also considered and we find that in some cases our allowed parameter space may be much reduced.  We extend the study of our models predictions by investigating Higgs-mediated contribution to rare flavour changing neutral current processes and discuss the possibility of them being among the very first indirect signals of supersymmetry.  We also study rare lepton flavour violating decays mediated by Higgs bosons discovering that in this case the Higgs contribution is sub-dominant and doesn’t hold such clear hopes for indirect discovery.

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