On the mistake in the implementation of the minimal model of the dual parameterization and resulting inability to describe the high-energy DVCS data

TL;DR

This paper corrects a previous mistake in the minimal dual parameterization model of GPDs, showing that the corrected model overestimates high-energy DVCS data from HERA, challenging prior claims of its accuracy.

Contribution

The paper identifies and corrects a numerical error in the minimal dual parameterization model, demonstrating its failure to accurately describe high-energy DVCS data.

Findings

Corrected the numerical prefactor in the dual parameterization model.

The corrected model overestimates HERA DVCS cross section data.

Prior claims of the model's model-independence are invalidated.

Abstract

We correct the mistaken claim made in \cite{Guzey:2005ec,Guzey:2006xi} that the minimal model of the dual parameterization of nucleon generalized parton distributions (GPDs) gives a good, essentially model-independent description of high-energy data on deeply virtual Compton scattering (DVCS). In the implementation of the dual parameterization in \cite{Guzey:2005ec,Guzey:2006xi}, the numerical prefactor of two in front of the DVCS amplitude was missing. We show that the corrected minimal model of the dual parameterization significantly overestimates the HERA data (H1 and ZEUS) on the DVCS cross section.