Scattering and absorption sections by an improved Schwarzschild black hole

TL;DR

This paper analyzes how quantum corrections to Schwarzschild black holes affect their scattering and absorption properties using classical, semi-classical, and partial wave methods.

Contribution

It introduces a detailed comparison of scattering and absorption sections of an improved Schwarzschild black hole with standard models, highlighting quantum effects.

Findings

Classical scattering shows minor deviations from Schwarzschild case.

Semi-classical and partial wave analyses reveal differences in interference patterns.

Absorption cross-section approaches horizon area at low frequencies.

Abstract

In this contribution, we investigate the scattering and absorption sections of the improved Schwarzschild black hole. The differential scattering section is analysed using three complementary approaches: the classical approximation, the semi-classical approximation, and the partial wave technique. We show that, while the classical scattering section exhibits only small deviations from the standard Schwarzschild case, the semi-classical and partial wave analyses reveal differences in the interference pattern and in the amplitude. Also, the absorption section is computed using the partial wave method and compared with the sinc approximation. We find that both approaches present deviations that appear in the low-frequency regime, where the partial wave result approaches the horizon area. Our results indicate that quantum corrections in the Schwarzschild can lead to modifications in scattering and absorption properties, providing further insight into the phenomenology of quantum corrected black holes.