Resonance and absorption spectra of the Schwarzschild black hole for massive scalar perturbations: a complex angular momentum analysis

TL;DR

This paper analyzes the resonance and absorption spectra of a Schwarzschild black hole under massive scalar perturbations using complex angular momentum methods, highlighting the impact of mass on these phenomena.

Contribution

It introduces an analytical approach to study the high-energy resonance spectrum and absorption cross section for massive scalar fields around black holes.

Findings

Derived asymptotic expansions for Regge poles and quasinormal frequencies.

Clarified the role of mass in the scattering and absorption spectra.

Provided a resummation method to extract physical information from greybody factors.

Abstract

We reexamine some aspects of scattering by a Schwarzschild black hole in the framework of complex angular momentum techniques. More precisely, we consider, for massive scalar perturbations, the high-energy behavior of the resonance spectrum and of the absorption cross section by emphasizing analytically the role of the mass. This is achieved (i) by deriving asymptotic expansions for the Regge poles of the $S$-matrix and then for the associated weakly damped quasinormal frequencies and (ii) by taking into account the analytic structure of the greybody factors which allows us to extract by resummation the physical information encoded in the absorption cross section.