Factorization at subleading power in deep inelastic scattering in the $x\rightarrow 1$ limit

TL;DR

This paper investigates the factorization of deep inelastic scattering at the endpoint region at next-to-leading power, demonstrating the cancellation of divergences and the relation between anomalous dimensions using soft-collinear effective theory.

Contribution

It introduces a soft-collinear effective theory approach without explicit soft or collinear modes to analyze NLP factorization and divergence cancellation in DIS.

Findings

Spurious endpoint divergences cancel at one loop due to overlap subtraction.

A nontrivial relation between anomalous dimensions ensures divergence cancellation at all scales.

The approach confirms the consistency of NLP factorization at one loop.

Abstract

We examine the endpoint region of inclusive deep inelastic scattering at next-to-leading power (NLP). Using a soft-collinear effective theory approach with no explicit soft or collinear modes, we discuss the factorization of the cross section at NLP and show that the overlap subtraction procedure introduced to eliminate double counting of degrees of freedom at leading power ensures that spurious endpoint divergences in the rate cancel at NLP at one loop. For this cancellation to occur at all renormalization scales a nontrivial relation between the anomalous dimensions of the leading and subleading operators is required, which is demonstrated to hold at one loop.