Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries

TL;DR

This paper explores how specific flavor symmetries in an extended gauge model can enforce two-zero textures in the neutrino mass matrix, leading to testable collider signatures and advancing understanding of neutrino mass structures.

Contribution

It demonstrates how anomaly-free Abelian gauge symmetries can naturally produce two-zero textures in the neutrino mass matrix via spontaneous symmetry breaking.

Findings

Two-zero textures can be enforced by flavor symmetries.

Different two-zero classes have distinct collider signatures.

The approach links neutrino phenomenology with collider physics.

Abstract

Augmenting the Standard Model by three right-handed neutrinos allows for an anomaly-free gauge group extension G_max = U(1)_(B-L) x U(1)_(L_e-L_mu) x U(1)_(L_mu-L_tau). While simple U(1) subgroups of G_max have already been discussed in the context of approximate flavor symmetries, we show how two-zero textures in the right-handed neutrino Majorana mass matrix can be enforced by the flavor symmetry, which is spontaneously broken very economically by singlet scalars. These zeros lead to two vanishing minors in the low-energy neutrino mass matrix after the seesaw mechanism. This study may provide a new testing ground for a zero-texture approach: the different classes of two-zero textures with almost identical neutrino oscillation phenomenology can in principle be distinguished by their different Z' interactions at colliders.