b-τ Yukawa (non)unification in the constrained minimal supersymmetric model

Supersymmetric grand unification usually provides unification of the bottom quark and the tau lepton Yukawa couplings at the scale of the grand unified theory (GUT). In the constrained minimal supersymmetric standard model this can be realized only for a very particular choice of parameters. In this paper we study the GUT scale ratio y(tau)/y(b) for less peculiar parameters in the large tan beta regime and identify one parameter region preferred by current experimental data. In this region, which is well within the reach of the LHC, the ratio is very close to the recently proposed value of 3/2.