Sparticle spectroscopy with neutralino dark matter fromt-b-τquasi-Yukawa unification

Abstract

We consider two classes of $t$-$b$-$\ensuremath{\tau}$ quasi-Yukawa unification scenarios which can arise from realistic supersymmetric SO(10) and $SU(4{)}_{C}\ifmmode\times\else\texttimes\fi{}SU(2{)}_{L}\ifmmode\times\else\texttimes\fi{}SU(2{)}_{R}$ models. We show that these scenarios can be successfully implemented in the nonuniversal Higgs model with ${m}_{{H}_{u}}={m}_{{H}_{d}}\ensuremath{\ne}{m}_{0}$ and the constrained minimal sumersymmetric model frameworks, and they yield a variety of sparticle spectra with Wilkinson Microwave Anisotropy Probe compatible neutralino dark matter. In the nonuniversal Higgs model with ${m}_{{H}_{u}}={m}_{{H}_{d}}\ensuremath{\ne}{m}_{0}$, we find bino-Higgsino dark matter as well as the stau coannihilation and $A$-funnel solutions. The constrained minimal sumersymmetric model case yields the stau coannihilation and $A$-funnel solutions. The gluino and squark masses are found to lie in the TeV range.