Cold Dark Matter and Higgs Mass in the Constrained Minimal Supersymmetric Standard Model with Generalized Yukawa Quasi-Unification

The construction of specific supersymmetric grand unified models based on the Pati-Salam gauge group and leading to a set of Yukawa quasi-unification conditions which can allow an acceptable b-quark mass within the constrained minimal supersymmetric standard model with mu>0 is briefly reviewed. Imposing constraints from the cold dark matter abundance in the universe, B physics, and the mass mh of the lighter neutral CP-even Higgs boson, we find that there is an allowed parameter space with, approximately, 44<tanbeta<52, -3<A0/M_{1/2}<0.1, 122<mh/GeV<127, and mass of the lightest sparticle in the range (0.75-1.43) TeV. Such heavy lightest sparticle masses can become consistent with the cold dark matter requirements on the lightest sparticle relic density thanks to neutralino-stau coannihilations which are enhanced due to stau-antistau coannihilation to down type fermions via a direct-channel exchange of the heavier neutral CP-even Higgs boson. Restrictions on the model parameters by the muon anomalous magnetic moment are also discussed.