# Addendum to "Absorption of a massive scalar field by a charged black hole"

## TL;DR

This paper extends previous work on scalar field absorption by charged black holes, providing analytical results for low-frequency regimes where the field velocity is below a critical threshold, and discusses its physical implications.

## Contribution

It offers the complementary analytical results for the low-velocity regime of scalar field absorption by black holes, filling a gap in prior high- and low-frequency analyses.

## Key findings

- Analytical results for $v \,\lesssim\, v_c$ regime.
- Discussion on physical relevance of low-velocity absorption.
- Extension of previous numerical and analytical studies.

## Abstract

In Phys.Rev.D89, 104053 (2014) we studied the absorption cross section of a scalar field of mass $m$ impinging on a static black hole of mass $M$ and charge $Q$. We presented numerical results using the partial-wave method, and analytical results in the high- and low-frequency limit. Our low-frequency approximation was only valid if the (dimensionless) field velocity $v$ exceeds $v_c = 2 \pi M m$. In this Addendum we give the complementary result for $v \lesssim v_c$, and we consider the possible physical relevance of this regime.