A minimal modular invariant neutrino model

TL;DR

This paper introduces a minimal neutrino mass model based on modular symmetry, using only six parameters to successfully predict lepton masses, mixing angles, and CP phase, while also exploring supersymmetry breaking and lepton flavor violation.

Contribution

It presents the most minimal modular invariant neutrino model to date, accurately fitting lepton data with few parameters and analyzing supersymmetry breaking effects.

Findings

Neutrino masses are predicted to be normal ordering.

Atmospheric mixing angle is close to maximal.

Dirac CP phase is approximately 1.34π.

Abstract

We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The neutrino masses are predicted to be normal ordering, the atmospheric angle $\theta_{23}$ is quite close to maximal value and the Dirac CP phase $\delta_{CP}$ is about $1.34\pi$. We also study the soft supersymmetry breaking terms due to the modulus $F$-term in this minimal model, which are constrained to be the non-holomorphic modular forms. The radiative lepton flavor violation process $\mu\to e\gamma$ is discussed.