Towards finite field theory: the Taylor-Lagrange regularization scheme

TL;DR

This paper introduces the Taylor-Lagrange regularization scheme, a finite framework for local field theory, and explores its implications for Higgs mass calculations and renormalization group equations in the Standard Model.

Contribution

It presents the Taylor-Lagrange regularization scheme as a finite alternative for local field theory and analyzes its effects on Higgs mass corrections and renormalization.

Findings

Bare amplitudes are completely finite in this scheme

Impacts on perturbative radiative corrections to the Higgs mass

Discusses consequences for renormalization group equations

Abstract

We recall a natural framework to deal with local field theory in which bare amplitudes are completely finite. We first present the main general properties of this scheme, the so-called Taylor-Lagrange regularization scheme. We then investigate the consequences of this scheme on the calculation of perturbative radiative corrections to the Higgs mass within the Standard Model. Important consequences for the renormalization group equations are finally discussed.