Dirac and Pauli form factors from lattice QCD

TL;DR

This paper uses lattice QCD simulations with multiple parameters to analyze nucleon electromagnetic form factors, revealing insights into their structure and chiral behavior.

Contribution

It provides a comprehensive lattice QCD analysis of nucleon form factors across various lattice spacings, volumes, and pion masses, employing Kelly-inspired parametrizations for stability.

Findings

Stable extraction of Dirac and Pauli radii.

Evidence of chiral non-analytic behavior.

Consistent results across multiple lattice ensembles.

Abstract

We present a comprehensive analysis of the electromagnetic form factors of the nucleon from a lattice simulation with two flavors of dynamical O(a)-improved Wilson fermions. A key feature of our calculation is that we make use of an extensive ensemble of lattice gauge field configurations with four different lattice spacings, multiple volumes, and pion masses down to m_\pi ~ 180 MeV. We find that by employing Kelly-inspired parametrizations for the Q^2-dependence of the form factors, we are able to obtain stable fits over our complete ensemble. Dirac and Pauli radii and the anomalous magnetic moments of the nucleon are extracted and results at light quark masses provide evidence for chiral non-analytic behavior in these fundamental observables.