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We show that Yukawa couplings of bottom quarks and tau leptons can be unifiedin a non-supersymmetric SU(5) model. We introduce an arbitrary number ofright-handed neutrinos. Their masses and Yukawa couplings that satisfy theunification condition by renormalization group evolution are shown. In the casethat the grand unification scale is $10^{15.5}$GeV and three right-handedneutrinos have the same mass, the upper bound on their mass is $\sim10^{14.1}$GeV.

Bottom-tau unification by neutrinos in a nonsupersymmetric SU(5) model