Updates on Nucleon Form Factors from Clover-on-HISQ Lattice Formulation

TL;DR

This paper presents updated lattice QCD results for nucleon form factors using high-statistics data from multiple ensembles with controlled systematic uncertainties, advancing the precision of nucleon structure calculations.

Contribution

It provides new high-precision lattice QCD calculations of nucleon form factors with comprehensive control over systematic effects across various lattice parameters.

Findings

Consistent results for electric, magnetic, and axial form factors across ensembles.

Quantitative estimates of systematic uncertainties from excited states and lattice artifacts.

Enhanced understanding of nucleon structure from lattice QCD data.

Abstract

Updates on results for the electric, magnetic and axial vector form factors are presented. The data analyzed cover high statistics measurements on 11 ensembles generated with 2+1+1 flavors of HISQ fermions by the MILC collaboration. The data cover the range $0.057\;\mathrm{fm} < a < 0.15\;\mathrm{fm}$ in lattice spacing, $135\;\mathrm{MeV} < M_\pi < 320\;\mathrm{MeV}$ in the pion mass and $3.3 < M_\pi L < 5.5 $ in the lattice size. Fits to control excited-state contamination use up to 3-states in the spectral decomposition of the 3-point functions. The simultaneous chiral-continuum-finite-volume fits include leading order corrections in each of the three variables.