Lattice Calculation of Pion Form Factor with Overlap Fermions

TL;DR

This paper reports a precise lattice QCD calculation of the pion form factor using overlap fermions, achieving results consistent with experimental measurements and exploring quark mass dependencies.

Contribution

The study introduces a high-precision lattice calculation of the pion form factor with overlap fermions on multiple ensembles, including systematic uncertainties and quark mass effects.

Findings

Pion mean square charge radius is 0.430(5)(13) fm^2, matching experimental data.

The pion form factor agrees with experiments up to Q^2 = 1.0 GeV^2.

Strong dependence of charge radius on valence and sea quark masses.

Abstract

We present a precise calculation of the pion form factor using overlap fermions on seven ensembles of 2+1-flavor domain-wall configurations with pion masses varying from 139 to 340 MeV. Taking advantage of the fast Fourier transform and other techniques to access many combinations of source and sink momenta, we find the pion mean square charge radius to be $\langle {r_\pi^2} \rangle= 0.430(5)(13)\ {\rm{fm^2}}$, which agrees well with the experimental result, and includes the systematic uncertainties from chiral extrapolation, lattice spacing and finite-volume dependence. We also find that $\langle {r_\pi^2} \rangle$ depends on both the valence and sea quark masses strongly and predict the pion form factor up to $Q^2 = 1.0 \ {\rm{GeV^2}}$ which agrees with experiments very well.