The First Moments of Nucleon Generalized Parton Distributions

TL;DR

This paper uses heavy baryon chiral perturbation theory to extrapolate the first moments of nucleon generalized parton distributions, comparing results with lattice data and discussing implications for experiments and models.

Contribution

It provides a novel extrapolation method for GPD moments at physical pion mass using finite range regularization within chiral perturbation theory.

Findings

Extrapolated moments are consistent with dimensional regularization results.

Lattice data description is satisfactory.

Sensitivity to form factor effects at zero momentum transfer.

Abstract

We extrapolate the first moments of the generalized parton distributions using heavy baryon chiral perturbation theory. The calculation is based on the one loop level with the finite range regularization. The description of the lattice data is satisfactory and the extrapolated moments at physical pion mass are consistent with the results obtained with dimensional regularization, although the extrapolation in the momentum transfer to $t=0$ does show sensitivity to form factor effects which lie outside the realm of chiral perturbation theory. We discuss the significance of the results in the light of modern experiments as well as QCD inspired models.