Infinities within graviton scattering amplitudes

TL;DR

This paper introduces a unitarity-based method to identify and analyze the IR and UV infinities in graviton scattering amplitudes, linking soft singularities to counter-terms in the effective action.

Contribution

It demonstrates a novel approach to extract UV infinities from soft singularities in graviton scattering, rederiving known one-loop UV infinities in gravity coupled to matter.

Findings

Successfully rederived one-loop UV infinities in gravity with matter

Established a connection between IR and UV infinities via soft singularities

Proposed a unitarity-based framework for analyzing divergences in quantum gravity

Abstract

We present unitarity as a method for determining the infinities present in graviton scattering amplitudes. The infinities are a combination of IR and UV. By understanding the soft singularities we may extract the UV infinities and relate these to counter-terms in the effective action. As an demonstration of this method we rederive the UV infinities present at one-loop when gravity is coupled to matter.