Global Analysis of Electroweak Data in SUSY GUTs

Abstract

A $\chi^2$ analysis of several SUSY GUTs recently discussed in the literature is presented. We obtain global fits to electroweak data, which include gauge couplings, gauge boson masses, BR($b\to s\gamma$) and masses of fermions of all three generations and their mixing angles. Thus we are able to test gauge unification, radiative electroweak symmetry breaking, SUSY sector (- in the context of supergravity induced SUSY breaking) and the Yukawa sector in each particular model self-consistently. One of the models studied provides a very good fit with $\chi^2 \sim 1$ for 3 degrees of freedom, in a large region of the allowed SUSY parameter space. The Yukawa sector works so well in this case that the analysis ends up testing the MSSM constrained by unification. Adopting this point of view, in the second part of this talk we focus on the details of the fit for BR($b\to s\gamma$) and discuss the correlations among $\delta m_b^{SUSY}$, $\alpha_s(M_Z)$ and a GUT threshold to $\alpha_s(M_G)$. We conclude that an attractive SO(10)-derived regime of the MSSM remains a viable option.