Alternative Minimal U(1)$_{\rm B-L}$

TL;DR

This paper proposes a minimal gauged U(1)$_{ m B-L}$ model with unique right-handed neutrino charges, explaining neutrino masses, mixing, and dark matter, and enabling resonant leptogenesis.

Contribution

It introduces a novel minimal U(1)$_{ m B-L}$ model with specific right-handed neutrino charges and a single Higgs field, addressing neutrino mass generation and dark matter.

Findings

Predicts two heavy degenerate right-handed neutrinos for leptogenesis.

Identifies a light sterile neutrino as a dark matter candidate.

Provides a consistent framework for neutrino masses and mixings.

Abstract

We provide a minimal alternative gauged U(1)$_{\rm B-L}$ model in which three right-handed neutrinos with charges of (5,-4,-4) and only one B-L Higgs field with charge 1 are introduced. Consistent active neutrino masses and mixings can be obtained if the $Z_2$ symmetry on two of the right-handed neutrinos is introduced. It predicts two heavy degenerate right-handed neutrinos, which may realize resonant leptogenesis scenario, and one relatively light sterile neutrino, which is a good dark matter candidate.