# Anapole Dark Matter Interactions as Soft Hidden Photons

## TL;DR

This paper introduces a model where anapole interactions are represented as hidden photons coupled to visible matter via kinetic mixing, suggesting hidden photons as stable dark matter candidates and unifying descriptions across energy scales.

## Contribution

It demonstrates that anapole and kinetic mixing descriptions are equivalent at different energy scales and proposes hidden photons as viable dark matter candidates.

## Key findings

- Hidden gauge bosons are stable and suitable as dark matter candidates.
- At low momentum, the model reduces to the Ho-Scherrer description.
- Anapole and kinetic mixing are equivalent descriptions across energy scales.

## Abstract

We propose a model where the anapole appears as a hidden photon that is coupled to visible matter through a kinetic mixing. For low momentum $|{\bf p}| \ll M$ where $M$ is the cutoff the model (soft hidden photons limit) is reduced to the Ho-Scherrer description. We show that the hidden gauge boson is stable and therefore the hidden photons, indeed, are candidates for dark matter. Our approach shows that anapole and kinetic mixing terms are equivalent descriptions seen from different scales of energy.