Minimal Flavour Violation and Neutrino Masses without R-parity

TL;DR

This paper extends the Minimal Flavour Violation framework to include neutrino masses via R-parity violation in the MSSM, analyzing flavor symmetry breaking patterns and their phenomenological implications.

Contribution

It introduces a novel approach to incorporate R-parity violation within MFV, considering supersymmetry's enhanced symmetry and analyzing two flavor symmetry breaking patterns.

Findings

MFV extension to R-parity violating MSSM is feasible.

Distinct flavor symmetry breaking patterns lead to different phenomenological signatures.

Potential observable effects in charged lepton flavor-changing decays.

Abstract

We study the extension of the Minimal Flavour Violation (MFV) hypothesis to the MSSM without R-parity. The novelty of our approach lies in the observation that supersymmetry enhances the global symmetry of the kinetic term and in the fact that we consider as irreducible sources of the flavour symmetry breaking all the couplings of the superpotential including the R-parity violating ones. If R-parity violation is responsible for neutrino masses, our setup can be seen as an extension of MFV to the lepton sector. We analyze two patterns based on the non-abelian flavour symmetries SU(3)^4 \otimes SU(4) and SU(3)^5. In the former case the total lepton number and the lepton flavour number are broken together, while in the latter the lepton number can be broken independently by an abelian spurion, so that visible effects and peculiar correlations can be envisaged in flavour changing charged lepton decays like \ell_i \rightarrow \ell_j \gamma.