Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry

TL;DR

This paper presents a supersymmetric model with modular $A_4$ symmetry that explains the muon g-2 anomaly, neutrino oscillations, and dark matter, while avoiding lepton flavor violations and making testable predictions.

Contribution

It introduces a minimal supersymmetric model with modular $A_4$ symmetry that simultaneously addresses muon g-2, neutrino masses, and dark matter, extending the model to satisfy all constraints.

Findings

Successful explanation of muon g-2 within the model.

Predictions for neutrino CP phases and masses.

Identification of viable dark matter candidate regions.

Abstract

We study a successful model to explain the muon anomalous magnetic moment originating from Yukawa-type interactions {in a supersymmetric theory}. Thanks to a modular $A_4$ flavor symmetry, any lepton flavor violations that spoil the model are forbidden. We also investigate a predictive radiative seesaw model including a dark matter (DM) candidate. At first, we construct the minimum model to satisfy the neutrino oscillation data and obtain several predictions such as Dirac CP and Majorana phases, the neutrino masses through $\chi^2$ analysis. However, the minimum model would not provide our promising DM candidate. Thus, we minimally extend the model and find a good DM candidate. In the extended framework, we show the allowed regions to satisfy the muon anomalous magnetic moment and the observed relic density of dark matter in addition to predictions of the lepton sector.