Neutrino phenomenology in the flavored NMSSM without domain wall problems

TL;DR

This paper presents a flavored NMSSM model with an A4 x Z3 symmetry that explains neutrino masses and mixing, addresses the domain wall problem, and makes predictions testable by current and future experiments.

Contribution

It introduces a novel NMSSM extension with flavor symmetry and a solution to the domain wall issue, incorporating trimaximal mixing and Type I seesaw mechanism.

Findings

Neutrino mass and mixing parameters are consistent with experimental data.

Predicted ranges for $m_{ee}$ and $m_{ u_{e}}$ are accessible by experiments.

Domain wall problem is mitigated through explicit symmetry breaking via Planck-suppressed operators.

Abstract

We propose a next-to-minimal supersymmetric Standard Model (NMSSM) extended by an $\mathbb{A}_{4}\times \boldsymbol{Z}_{3}$ flavor symmetry and three right-handed neutrinos providing a detailed study of the neutrino sector and a solution to the domain wall problem. In this proposal, neutrino masses are generated through Type I seesaw mechanism while the mixing angles are described by the trimaximal mixing realized using the NMSSM singlet S and only two flavon fields. The phenomenology of neutrino parameters is studied for normal and inverted mass hierarchies. In particular, we numerically evaluated the observables related to neutrino masses and mixing, namely, $\sum m_{i}$, $m_{ee}$, $m_{\nu_{e}}$, and $\delta_{CP}$ where we find that the ranges of $m_{ee}$ and $m_{\nu_{e}}$ are accessible by current and future experiments while the obtained ranges of $\sum m_{i}$ and $\delta_{CP}$ lie within the current experimental data. Another attractive feature we discussed in this paper is the circumvention of the domain wall problem induced by the spontaneous breaking of the $\mathbb{A}_{4}\times \boldsymbol{Z}_{3}$ discrete symmetry. We first showed that the domain walls in the charged lepton sector occur at high energy scale leading to unproblematic domain walls, while in the neutrino sector they are inevitable. Then, to solve this problem, we reconsidered the well-known approach that relies on the explicit breaking of the discrete symmetry through the insertion of Planck-suppressed operators induced by supergravity. \keywords{Neutrino physics, Discrete flavor symmetry,Trimaximal mixing, Domain walls}