Test of two new parameterizations of the Generalized Parton Distribution $H$

TL;DR

This paper compares two parameterizations of the Generalized Parton Distribution $H$, demonstrating that the One-Component Double Distribution approach offers greater flexibility and maintains polynomiality, making it a promising alternative for modeling GPDs.

Contribution

The paper introduces and evaluates a new implementation of the One-Component Double Distribution formalism for GPDs, highlighting its advantages over the standard approach.

Findings

More flexible variation of Compton Form Factors

Polynomiality property is preserved up to highest order

Comparable results to classical models with potential for improved data fit

Abstract

In 2011 Radyushkin outlined the practical implementation of the One-Component Double Distribution formalism in realistic Generalized Parton Distribution models. We compare the One-Component Double Distribution framework to the standard one and compute Deeply Virtual Compton Scattering observables for both. In particular the new implementation is more flexible, offering a greater range of variation of the real and imaginary parts of the associated Compton Form Factor while still allowing to recover results similar to the classical approach. Moreover the polynomiality property is satisfied up to the highest order. Although the comparison to experimental data may be improved, the One-Component Double Distribution modeling is thus an attractive alternative.