More on Denominator Regularization in Quantum Field Theory

TL;DR

This paper explores the denominator regularisation scheme in quantum field theory, highlighting its gauge invariance features through examples like QED vacuum polarization and Higgs decay to photons.

Contribution

It reveals interesting gauge invariance properties of the denominator regularisation scheme by revisiting key quantum field theory processes.

Findings

Denominator regularisation yields results comparable to dimensional regularisation.

The scheme is compatible with minimal subtraction.

Gauge invariance is preserved in key QFT processes.

Abstract

Recently \cite{Horowitz:2022rpp,Horowitz:2022uak}, denominator regularisation (Den. Reg.) scheme has been proposed to handle divergences in quantum field theory. It is shown to yield results as simple as in dimensional regularisation scheme and also shown to be compatible with minimal subtraction scheme by taking several examples in field theory. In this article, we point out some interesting features of this regularisation scheme which appear as a consequence of the requirement of gauge invariance by revisiting QED vacuum polarisation and $H\to\gamma\gamma$ decay in this regularisation scheme.