Dark Matter and Lepton Flavour Violation in Yukawa Unification with Massive Neutrinos

Abstract

The WMAP dark matter constraints on b-$\tau$ Yukawa Unification in the presence of massive neutrinos is revisited. The predictions for the bottom quark mass are observed to be modified by the large neutrino mixing suggested by the data. This enables Yukawa unification also for large $\tan\beta$, and for positive $\mu$ that were previously disfavoured. Consequently, the allowed parameter space for neutralino dark matter differs from the MSSM one. We also find that the parameter space being compatible with dark matter also predicts detectable rates for Lepton Flavour Violation at the LHC.