Factorization of Twist-Four Gluon Operator Contributions

TL;DR

This paper extends a known factorization method to include gluonic twist-four contributions in deep inelastic scattering, providing gauge-invariant expressions for these complex operators.

Contribution

It introduces a systematic approach to factorize twist-four gluon operators using low-order diagrams and dimensional analysis, expanding the EFP method to gluonic cases.

Findings

Derived gauge-invariant factorization formulas for twist-four gluon operators.

Extended the EFP method to include gluonic contributions.

Provided explicit expressions for coefficient functions and matrix elements.

Abstract

We consider diagrams with up to four t-channel gluons in order to specify gluonic twist-four contributions to deep inelastic structure functions. This enables us to extend the method developed by R.K.Ellis, W.Furmanski, and R.Petronzio (EFP) to the gluonic case. The method is based on low-order Feynman diagrams in combination with a dimensional analysis. It results in explicitly gauge invariant expressions for the factorization of twist-four gluon-operator matrix elements and the corresponding coefficient functions.