Bilinear R-parity violation with flavor symmetry

TL;DR

This paper proposes an $A_4$ flavor symmetry model with bilinear R-parity violation that explains neutrino mixing, quark-lepton mass relations, and predicts specific neutrino oscillation parameters consistent with recent data.

Contribution

It introduces a novel $A_4$ flavor symmetry model with a single R-parity violating parameter, linking neutrino properties with quark-lepton mass relations and mixing angles.

Findings

Correct Cabibbo mixing via Gatto-Sartori-Tonin formula

Successful b-tau mass relation

Predicted correlation between $ heta_{13}$ and $ heta_{23}$, consistent with data

Abstract

Bilinear R-parity violation (BRPV) provides the simplest intrinsically supersymmetric neutrino mass generation scheme. While neutrino mixing parameters can be probed in high energy accelerators, they are unfortunately not predicted by the theory. Here we propose a model based on the discrete flavor symmetry $A_4$ with a single R-parity violating parameter, leading to (i) correct Cabbibo mixing given by the Gatto-Sartori-Tonin formula, and a successful unification-like b-tau mass relation, and (ii) a correlation between the lepton mixing angles $\theta_{13}$ and $\theta_{23}$ in agreement with recent neutrino oscillation data, as well as a (nearly) massless neutrino, leading to absence of neutrinoless double beta decay.