Soft-collinear resummation in deeply virtual Compton scattering

TL;DR

This paper derives an all-order resummation formula for the DVCS amplitude, accounting for soft gluon exchanges in the non-singlet quark coefficient function, resulting in a simple closed-form expression.

Contribution

It introduces a novel resummation approach for soft gluon effects in DVCS, providing a closed-form expression for the amplitude.

Findings

Resummation formula captures all-order soft gluon effects.

Identifies ladder diagrams responsible for dominant contributions.

Provides a simplified closed-form expression for the resummed amplitude.

Abstract

We derive an all order resummation formula for the deeply virtual Compton scattering (DVCS) amplitude, which takes into account soft gluon exchanges in the non-singlet quark coefficient function. We identify the ladder diagrams responsible in light-like gauge for [alphaS log^2 (x +/- xi)]^n contributions. The resummed series results in a simple closed expression.