Limit on the Color-Triplet Higgs Mass in the Minimum Supersymmetric SU(5) Model

Abstract

In the minimum supersymmetric SU(5) GUT, we derive the upper limit on the mass of the color-triplet Higgs multiplets as $\text{mhc}\le 2.4\times 10^{16}\text{GEV}$ (90 \% C.L.) taking all possible corrections into account in a renormalization group analysis. If the above upper limit is compared with a limit on $\text{mhc}$ from the negative search for the proton decay; $\text{mhc}\ge 2.0\times 10^{16}\text{GEV}$ (in which effects of the larger top-quark mass are included), the minimum supersymmetric SU(5) GUT is severely constrained.