# Scattering of quantum fields by a MOG Black Hole

## TL;DR

This paper studies how fermions scatter off MOG black holes, analyzing phase shifts and cross sections, and compares effects of the MOG parameter with Schwarzschild black holes, highlighting increased glory and orbiting scattering at higher .

## Contribution

It provides analytical expressions for scattering phase shifts in MOG black holes and explores the impact of the  parameter on scattering phenomena, extending previous Schwarzschild analyses.

## Key findings

- Higher  enhances glory and orbiting scattering effects.
- Analytical phase shift expressions for fermion scattering in MOG black holes.
- Comparison shows increased scattering features relative to Schwarzschild case.

## Abstract

This paper aims to investigate the scattering of fermions by spherically symmetric MOG black holes, which are a type of black holes encountered in scalar-tensor-vector modified gravitational theories. After determining the scattering modes in this black hole geometry, we apply the partial wave method to compute analytical expressions for the phase shifts that enter into the definition of scattering amplitudes. An analysis of the influence of the MOG parameter $\alpha$ on the differential scattering cross section and the induced polarization is conducted. Also, a comparison with Schwarzschild scattering (for which $\alpha = 0$) is performed. Furthermore, it is also shown that glory and spiral/orbiting scattering are more significant for higher values of the free parameter $\alpha$.