Top quark and Higgs boson masses in supersymmetric models

We study the implications for bounds on the top quark pole mass m(t) in models with low scale supersymmetry following the discovery of the Standard Model-like Higgs boson. In the minimal supersymmetric standard model, we find that m(t) >= 164 GeV, if the light CP even Higgs boson mass m(h) = 125 +/- 2 GeV. We also explore the top quark and Higgs boson masses in two classes of supersymmetric SO(10) models with t-b-tau Yukawa coupling unification at M-GUT. In particular, assuming SO(10) compatible non-universal gaugino masses, setting m(h) = 125 GeV and requiring 5% or better Yukawa unification, we obtain the result 172 GeV <= m(t) <= 175 GeV. Conversely, demanding 5% or better t-b-tau Yukawa unification and setting m(t) = 173.2 GeV, the Higgs boson mass is predicted to lie in the range 122 GeV <= m(h) <= 126 GeV.