Flavor origin of R-parity

TL;DR

This paper explores how a flavor symmetry, specifically Delta(27), can simultaneously explain fermion mixing, prevent dangerous R-parity violating operators, and ensure proton and dark matter stability in the MSSM.

Contribution

It introduces a model where a discrete flavor symmetry forbids all R-parity violating operators, linking fermion mixing with proton and dark matter stability.

Findings

A specific Delta(27) symmetry model is proposed.

The model successfully forbids dangerous operators.

It provides a unified origin for fermion mixing and stability.

Abstract

Proton stability is guaranteed in the MSSM by assuming a discrete symmetry, R-parity. However, there are additional R-parity conserving higher dimensional operators which violate lepton and baryon numbers and induce fast proton decay. Here we study the possibility that all renormalizable, as well as the most dangerous non-renormalizable, R-parity violating operators are forbidden by a flavor symmetry, providing a common origin for fermion mixing and proton and dark matter stability. We propose a specific model based on the Delta(27) discrete symmetry.