Bounds on R-parity Violating Couplings at the Weak Scale and at the GUT Scale

TL;DR

This work updates the tight experimental bounds on trilinear Rp-violating couplings at the weak scale and systematically translates them to the GUT scale via one-loop RGEs within the Rp-MSSM framework. It shows that GUT-scale bounds are generally stronger by factors of 2–5, with especially dramatic tightening when quark mixing induces new Rp-violating operators during RG evolution. The analysis accounts for different fermion mass textures and CP phases, revealing that mixing can drive some bounds by orders of magnitude stronger, though some results remain robust to tan$\beta$ variations. These results provide a comprehensive, texture-dependent map of Rp-violating couplings compatible with current data, constraining viable unified Rp-violating theories and guiding model-building.

Abstract

We present an update of the most stringent experimental bounds on the trilinear R-parity violating couplings. We then analyse bounds on the R-parity violating couplings at the unification scale by renormalising the weak scale bounds. We derive unification scale upper bounds upon the couplings which are broadly independent of the fermion mass texture assumed. The R-parity violating couplings are factors of two to five more severely bounded at the unification scale than at the electroweak scale. In the presence of quark mixing, a few of the bounds are orders of magnitude stronger than their weak scale counterparts due to new R-parity violating operators being induced in the renormalisation between high and low scales. These induced bounds are fermion mass texture dependent. New bounds upon the weak scale couplings are obtained by the requirement of perturbativity between the weak and unification scales. A comprehensive set of the latest limits is included.