Proof of Factorization Using Background Field Method of QCD

TL;DR

This paper presents a novel proof of the QCD factorization theorem using symmetry considerations at the Lagrangian level, offering an alternative to the traditional diagrammatic approach.

Contribution

It introduces a symmetry-based proof of the factorization theorem in QCD, expanding the theoretical understanding beyond diagrammatic methods.

Findings

Provides a Lagrangian-level symmetry proof of factorization

Offers an alternative to diagrammatic proofs in QCD

Enhances theoretical foundations of high-energy physics

Abstract

Factorization theorem plays the central role at high energy colliders to study standard model and beyond standard model physics. The proof of factorization theorem is given by Collins, Soper and Sterman to all orders in perturbation theory by using diagrammatic approach. One might wonder if one can obtain the proof of factorization theorem through symmetry considerations at the lagrangian level. In this paper we provide such a proof.