Dual Subtractions

TL;DR

This paper introduces a new local subtraction scheme for NLO calculations in quantum field theory, utilizing loop diagrams and the loop-tree duality to improve phase space factorization and singularity handling.

Contribution

It presents a novel subtraction method based on loop diagrams and the loop-tree duality, differing from traditional real radiation-based schemes.

Findings

Handles both massless and massive particles.

Ensures exact phase space factorization.

Suitable for initial and final state singularities.

Abstract

We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory. With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploit their loop-tree dual representation. Our scheme implements exact phase space factorization, handles final state as well as initial state singularities and is suitable for both massless and massive particles.