Spontaneous R-parity violation and the origin of neutrino mass

TL;DR

This paper explores how spontaneous R-parity violation in supersymmetric models can explain neutrino masses, predicts unique decay signatures involving the Majoron, and offers new ways to test these theories experimentally.

Contribution

It introduces a model where neutrino masses arise from spontaneous R-parity breaking, highlighting the role of the Majoron and its impact on neutralino decays and lepton flavor violation.

Findings

Correlations between neutralino decays and neutrino mixing angles.

Large invisible decay branching ratios due to the Majoron.

Potential experimental signals like $ o e J$ for model constraints.

Abstract

We study the phenomenology of supersymmetric models that explain neutrino masses through the spontaneous breaking of R-parity, finding strong correlations between the decays of the lightest neutralino and the neutrino mixing angles. In addition, the existence of a Goldstone boson, usually called Majoron ($J$), completely modifies the phenomenology with respect to the standard picture, inducing large invisible branching ratios and charged lepton decays, like $\mu \to e J$, interesting signals that can be used to constrain the model.