Unraveling anomalies in Deeply Virtual Compton Scattering

TL;DR

This paper investigates the one-loop quark box diagrams in Deeply Virtual Compton Scattering, revealing anomaly poles linked to chiral and trace anomalies, and discusses their impact on QCD factorization and GPDs.

Contribution

It introduces an off-forward momentum regularization method to uncover anomaly poles in DVCS and interprets their significance within GPDs and QCD factorization.

Findings

Identified poles related to chiral and trace anomalies in DVCS diagrams

Provided a new interpretation of anomaly poles in the context of GPDs

Discussed implications for QCD factorization of Compton amplitudes

Abstract

We calculate the one-loop quark box diagrams relevant to polarized and unpolarized Deeply Virtual Compton Scattering by introducing an off-forward momentum $l^\mu$ as an infrared regulator. This regularization approach allows us to reveal the poles associated with the chiral anomaly in the polarized scenario, as well as the trace anomaly in the unpolarized case. We provide an interpretation of our findings in the context of pertinent Generalized Parton Distributions (GPDs). Furthermore, we discuss the implications of these poles on the QCD factorization pertaining to Compton amplitudes.