Quark and lepton masses at the GUT scale including supersymmetric threshold corrections

Abstract

We investigate the effect of supersymmetric (SUSY) threshold corrections on the values of the running quark and charged lepton masses at the grand unified theory (GUT) scale within the large $\mathrm{tan}\ensuremath{\beta}$ regime of the minimal supersymmetric standard model. In addition to the typically dominant SUSY QCD contributions for the quarks, we also include the electroweak contributions for quarks and leptons and show that they can have significant effects. We provide the GUT scale ranges of quark and charged lepton Yukawa couplings as well as of the ratios ${m}_{\ensuremath{\mu}}/{m}_{s}$, ${m}_{e}/{m}_{d}$, ${y}_{\ensuremath{\tau}}/{y}_{b}$ and ${y}_{t}/{y}_{b}$ for three example ranges of SUSY parameters. We discuss how the enlarged ranges due to threshold effects might open up new possibilities for constructing GUT models of fermion masses and mixings.