Neutrino Physics and Spontaneous CP Violation in the $\mu\nu$SSM

TL;DR

This paper investigates the $mbda u$SSM model, demonstrating its ability to naturally generate neutrino masses, incorporate spontaneous CP violation, and reproduce current neutrino data through complex vacuum configurations.

Contribution

It provides a comprehensive analysis of vacua in the $mbda u$SSM, highlighting spontaneous CP violation and its implications for neutrino mixing and phases.

Findings

Spontaneous CP violation can occur via complex Higgs and sneutrino VEVs.

The model reproduces current neutrino mass and mixing data.

A complex MNS matrix naturally emerges from the vacuum structure.

Abstract

The $\mu\nu$SSM provides a solution to the $\mu$ problem of the MSSM and explains the origin of neutrino masses by simply using right-handed neutrino superfields. We have completed the analysis of the vacua in this model, studying the possibility of spontaneous CP violation through complex Higgs and sneutrino vacuum expectation values. As a consequence of this process, a complex MNS matrix can be present. Besides, we have discussed the neutrino physics and the associated electroweak seesaw mechanism in the $\mu\nu$SSM, including also phases. Current data on neutrino masses and mixing angles can easily be reproduced.