Neutrino masses from R-parity violation with a $Z_3$ symmetry

TL;DR

This paper presents a supersymmetric model with R-parity violation and a $Z_3$ symmetry that naturally explains neutrino masses and mixing angles, consistent with oscillation data, and suggests collider tests via LSP decay.

Contribution

It introduces a novel $Z_3$ flavor symmetry in a supersymmetric R-parity violating framework to generate realistic neutrino masses and mixing angles, including a large $ heta_{13}$.

Findings

Neutrino mass matrix matches oscillation data

Large $ heta_{13}$ angle is easily accommodated

LSP decay patterns can test the model at colliders

Abstract

We consider a supersymmetric model where the neutrino mass matrix arises from bilinear and trilinear R-parity violation, both restricted by a $Z_3$ flavor symmetry. Assuming flavor blind soft supersymmetry (SUSY) breaking conditions, corrected at low energies due to running effects, we obtain a neutrino mass matrix in agreement with oscillation data. In particular, a large $\theta_{13}$ angle can be easily accommodated. We also find a correlation between the reactor and atmospheric mixing angles. This leads in some scenarios to a clear deviation from $\theta_{23} = \pi/4$. The Lightest Supersymmetric Particle (LSP) decay, dominated by the trilinear couplings, provides a direct way to test the model at colliders.