Testing Dark Matter with the Anomalous Magnetic Moment in Quantum Electrodynamics Model

TL;DR

This paper explores how a dark quantum electrodynamics model with kinetic mixing affects the anomalous magnetic moment of dark fermions, providing insights into dark matter properties through theoretical calculations and data analysis.

Contribution

It introduces a model linking dark and visible photons via kinetic mixing and analyzes its impact on the dark fermion's anomalous magnetic moment, relating it to observable data.

Findings

The dark fermion's g-2 depends on the mass ratio of dark photon to dark fermion.

Light and heavy dark fermions exhibit different behaviors for very small dark photon masses.

The model's predictions are compared with existing experimental data.

Abstract

We consider a model of dark quantum electrodynamics which is coupled with a visible photon through a kinetic mixing term. After checking of consistency properties, we compute the $g_w-2$, where $g_w$ is the gyromagnetic factor for a dark fermion. The $g_w-2$ and $g-2$ of quantum electrodynamics are related by the kinetic mixing factor. We analyse the $g_w-2$ in terms of the ratio $\kappa =m_\gamma/m_\chi$ where $m_\gamma$ and $m_\chi$ are the masses of the dark photon and the dark fermion and we discuss how light and heavy fermions become very different for $m_\gamma \leq10^{-5}\,$ eV. This analysis is also carried out using different available data.