Evolution of the Yukawa coupling constants and seesaw operators in the universal seesaw model

The general features of the evolution of the Yukawa coupling constants and seesaw operators in the universal seesaw model with $\mathrm{det}{M}_{F}=0$ are investigated. In the model, not only the magnitude of the Yukawa coupling constant ${(Y}_{L}^{u}{)}_{33}$ in the up-quark sector but also that of ${(Y}_{L}^{d}{)}_{33}$ in the down-quark sector is of the order of one, i.e., ${(Y}_{L}^{u}{)}_{33}\ensuremath{\sim}{(Y}_{L}^{d}{)}_{33}\ensuremath{\sim}1.$ The requirement that the model should be calculable perturbatively, i.e., $|{Y}_{\mathrm{ij}}^{f}{|}^{2}/4\ensuremath{\pi}<~1,$ puts some constraints on the values of the intermediate mass scales and $\mathrm{tan}\ensuremath{\beta}$ (in the SUSY model).