R-Parity violating flavor symmetries, recent neutrino data and absolute neutrino mass scale

TL;DR

This paper explores how a broad class of flavor symmetries can limit R-parity violation in supersymmetric models, linking neutrino data to the absolute neutrino mass scale and potential experimental tests.

Contribution

It introduces a flavor symmetry framework that reduces lepton number violating couplings from 39 to 6, connecting neutrino observations to the structure of supersymmetric models.

Findings

Predicts an almost vanishing smallest neutrino mass eigenvalue.

Constraints from neutrino data and rare decay processes shape the model.

Upcoming neutrinoless double beta decay experiments can test the hierarchy prediction.

Abstract

We study the role of a very general type of flavor symmetry in controlling the strength of R-parity violation in supersymmetric models. We assume that only leptons are charged under a global symmetry whose breaking induces lepton number (and, hence, R-parity) violation. The charge assignments of leptons under this symmetry are such that the total number of independent lepton number violating couplings is reduced from 39 to 6. The most severe constraints on these flavor-correlated couplings arise from neutrino masses and mixing as well as from the non-observation of K_L -> e\mu. We find that such a scenario predicts an almost vanishing smallest neutrino mass eigenvalue, allowing the upcoming generation of neutrinoless double beta decay experiments to shed light on the hierarchy.