Chiral Analysis of the Generalized Form Factors of the Nucleon

TL;DR

This paper uses Baryon Chiral Perturbation Theory to analyze generalized form factors of the nucleon, fitting lattice QCD data to predict their behavior at physical quark masses and momentum transfer.

Contribution

It provides a leading-one-loop covariant BChPT calculation of GPD moments, connecting lattice results with physical nucleon structure.

Findings

Predicted momentum and quark-mass dependence of form factors.

Successfully extrapolated lattice data to physical point.

Presented combined fits for multiple GPD moments.

Abstract

We apply the methods of Chiral Perturbation Theory to the analysis of the first moments of the Generalized Parton Distributions in a Nucleon, usually known as generalized form factors. These quantities are currently also under investigation in Lattice QCD analyses of baryon structure, providing simulation results at large quark masses to be extrapolated to the "real world" via Chiral Effective Field Theory. We have performed a leading-one-loop calculation in the covariant framework of Baryon Chiral Perturbation Theory (BChPT), predicting both the momentum and the quark-mass dependence for all the vector and axial (generalized) form factors. In particular we discuss the results for the limit of vanishing four-momentum transfer where the GPD-moments reduce to the well known moments of Parton Distribution Functions (PDFs). We fit our results to available lattice QCD data, extrapolating down to the physical point. We conclude by presenting outstanding results from a combined fit to different GPDs-moments.