# Dark Matter, Muon $g-2$, Electric Dipole Moments and $Z\to \ell_i^+ \ell_j^-$ in a One-Loop Induced Neutrino Model

## TL;DR

This paper investigates a one-loop neutrino mass model with dark matter candidates that can explain the muon g-2 anomaly, analyzing constraints from flavor violation, electric dipole moments, and neutrino data, and predicting rare Z decays.

## Contribution

It introduces a simple one-loop neutrino mass model with dark matter and muon g-2 explanation, analyzing flavor violation and Z decay constraints comprehensively.

## Key findings

- Branching ratio of Z→μτ is approximately 10^{-7} to 10^{-6}.
- Branching ratio of τ→μγ is less than 10^{-11}.
- Future lepton colliders can probe the Z→μτ decay.

## Abstract

We study a simple one-loop induced neutrino mass model that contains both bosonic and fermionic dark matter candidates and has the capacity to explain the muon anomalous magnetic moment anomaly. We perform a comprehensive analysis by taking into account the relevant constraints of charged lepton flavor violation, electric dipole moments, and neutrino oscillation data. We examine the constraints from lepton flavor-changing $Z$ boson decays at one-loop level, particularly when the involved couplings contribute to the muon $g-2$. It is found that $\text{BR}(Z\to \mu\tau)\simeq (10^{-7}$ - $10^{-6})$ while $\text{BR}(\tau\to\mu\gamma)\lesssim 10^{-11}$ in the fermionic dark matter scenario. The former can be probed by the precision measurement of the $Z$ boson at future lepton colliders.