New Patterns of Natural R-Parity Violation with Supersymmetric Gauged Flavor

TL;DR

This paper explores supersymmetric gauged flavor models that naturally incorporate R-parity violation without causing proton decay, predicting specific RPV coupling patterns linked to quark masses and discussing their phenomenological implications.

Contribution

It introduces a novel realization of RPV within gauged flavor models, predicting coupling strengths based on quark masses and ensuring proton stability.

Findings

RPV couplings depend on quark masses as (m_{u_i} m_{d_j} m_{d_k} / m_t^3)^n

Models avoid catastrophic proton decay with natural parameters

Phenomenological implications of these RPV patterns are discussed

Abstract

We point out that supersymmetric gauged flavor models provide a realization of R-parity violation (RPV) that is natural in the sense that it does not lead to catastrophic proton decay for natural values of parameters in the theory. Within specific realizations of the idea, the relative strengths of the $\Delta B=1$ $u^c d^c d^c$ type RPV operators can be predicted. In particular, we present examples of gauged flavor models where RPV couplings depend on quark masses as $(m_{u_i} m_{d_j} m_{d_k} / m_t^3)^n$ where $n=1$ or $n= 1/2$. Some phenomenological implications of these models are discussed.