Constraints on Baryon-Nonconserving Yukawa Couplings in a Supersymmetric Theory

Abstract

The 1-loop evolution of couplings in the minimal supersymmetric standard model, extended to include baryon nonconserving $(B/)$ operators through explicit $R$-parity violation, is considered keeping only $B/$ superpotential terms involving the maximum possible number of third generation superfields. If all retained Yukawa couplings $Y_i$ are required to remain in the perturbative domain $(Y_i<1)$ upto the scale of gauge group unification, upper bounds ensue on the magnitudes of the $B/$ coupling strengths at the supersymmetry breaking scale, independent of the model of unification. They turn out to be similar to the corresponding fixed point values reached from a wide range of $Y_i$ (including all $Y_i$ greater than unity) at the unification scale. The coupled evolution of the top and $B/$ Yukawa couplings results in a reduction of the fixed point value of the former.

PRL-TH-94/8 and TIFR/TH/94-7, 15 pages, LaTeX

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