Dark matter in the supersymmetric radiative seesaw model with an anomalous U(1) symmetry

TL;DR

This paper explores how an anomalous U(1) symmetry in a supersymmetric radiative seesaw model influences neutrino masses, Yukawa hierarchies, and introduces a new dark matter candidate linked to lepton flavor violation.

Contribution

It demonstrates the role of anomalous U(1) symmetry in explaining neutrino mass smallness, Yukawa hierarchies, and proposes a new dark matter candidate arising from symmetry breaking.

Findings

Anomalous U(1) symmetry explains neutrino mass smallness.

The model predicts a long-lived dark matter candidate.

Dark matter properties are linked to neutrino mass and lepton flavor violation.

Abstract

The existence of an anomalous U(1) symmetry is shown to play a crucial role in the supersymmetric radiative seesaw model for neutrino masses. It explains the smallness of some couplings related to neutrino mass generation in a favorable way in addition to cause the hierarchical structure of Yukawa couplings of quarks and leptons. If it is spontaneously broken to a $Z_2$ subgroup, this $Z_2$ symmetry can make a lifetime of the lightest field with its odd parity extremely long. Thus, the model has an additional dark matter candidate other than the lightest neutralino, which appears in the $R$-parity conserved MSSM. We discuss the nature of dark matter by taking account of its relation to the neutrino mass generation and the lepton flavor violation.