Constraints on the $\tilde{H}$ Generalized Parton Distribution from Deep Virtual Compton Scattering Measured at HERMES

TL;DR

This paper analyzes HERMES deep virtual Compton scattering data to extract constraints on the $ ilde{H}$ generalized parton distribution, providing insights into its dependencies and improving understanding of related form factors.

Contribution

It presents a largely model-independent analysis of recent data, constraining the $ ilde{H}_ ext{Im}$ form factor and refining knowledge of $H_ ext{Re}$ and $H_ ext{Im}$.

Findings

Numerical constraints on $ ilde{H}_ ext{Im}$ form factor.

Determined $t$ and $\xi$ dependencies of $ ilde{H}_ ext{Im}$.

Improved measurements of $H_ ext{Re}$ and $H_ ext{Im}$.

Abstract

We have analyzed the longitudinally polarized proton target asymmetry data of the Deep Virtual Compton process recently published by the HERMES collaboration in terms of Generalized Parton Distributions. We have fitted these new data in a largely model-independent fashion and the procedure results in numerical constraints on the $\tilde{H}_\mathrm{Im}$ Compton Form Factor. We present its $t-$ and $\xi-$ dependencies. We also find improvement on the determination of two other Compton Form Factors, $H_\mathrm{Re}$ and $H_\mathrm{Im}$.