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

TL;DR

This paper revisits dark matter constraints on Yukawa unification considering massive neutrinos, revealing new parameter space compatibility and potential for detectable lepton flavor violation signals at the LHC.

Contribution

It demonstrates that massive neutrinos modify Yukawa unification predictions, expanding viable parameter space and linking dark matter with lepton flavor violation observables.

Findings

Yukawa unification is compatible with large $ aneta$ and positive $$ for massive neutrinos.

Allowed dark matter parameter space predicts detectable lepton flavor violation at the LHC.

Neutrino mixing impacts bottom quark mass predictions and unification conditions.

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.