A linear seesaw model with $A_4$-modular flavor and local $U(1)_{B-L}$ symmetries

TL;DR

This paper proposes a linear seesaw model incorporating $A_4$-modular flavor and $U(1)_{B-L}$ symmetries, predicting neutrino properties with specific string theory-favored parameter regions.

Contribution

It introduces a novel linear seesaw framework combining modular $A_4$ symmetry and $U(1)_{B-L}$, with detailed numerical analysis and specific predictions for neutrino mass ordering.

Findings

Inverted neutrino mass ordering is favored near $ au=\omega$.

The model predicts specific neutrino mixing parameters.

Predictions are consistent with string theory considerations.

Abstract

We discuss a linear seesaw model with local $U(1)_{B-L}$ and modular $A_4$ symmetries. The neutrino mass matrix for linear seesaw mechanism is realized by $U(1)_{B-L}$ charge assignment and the nature of modular $A_4$ symmetry. We formulate neutrino mass and carry our numerical analysis showing some predictions for observables in neutrino sector. Remarkably, the case of inverted neutrino mass ordering (IO) is realized by a specific region around $\tau=\omega=e^{2\pi i/3}$, which is favored by a string theory. Thus, our prediction would be very strong in case of IO.