Neutrino masses and mixing in $\mu\nu$SSM

TL;DR

The paper explores how the $mbda$SSM model can generate realistic neutrino masses and mixings, linking collider signatures with neutrino physics, and analyzing the impact of loop corrections.

Contribution

It demonstrates that $mbda$SSM can accommodate three-flavor neutrino data at tree level and explores collider signatures related to neutrino mixing.

Findings

Neutrino data can be fitted with three massive neutrinos at tree level.

Loop corrections affect neutrino mass hierarchy and mixing.

Neutralino decay patterns correlate with neutrino mixing angles.

Abstract

$\mu\nu$SSM is an $R$-parity violating non-minimal supersymmetric model which uses right chiral neutrino superfields to solve the $\mu$-problem. The $R$-parity violation together with a TeV scale seesaw mechanism using right handed neutrinos are instrumental for the light neutrino mass generation in $\mu\nu$SSM. We show that it is possible to accommodate three flavour global neutrino data in $\mu\nu$SSM with three massive neutrinos at the tree level. Ingression of the one-loop corrections to neutrino masses and mixing shows certain variations over the tree level analysis depending on the specific hierarchy of neutrino masses involved. In $\mu\nu$SSM some of the $R$-parity violating decay branching ratios of the lightest neutralino show nice correlation with certain neutrino mixing angle. These correlations along with the presence of displaced vertices in the decay of the lightest neutralino can be further investigated as a test of $\mu\nu$SSM in collider experiments.