Lattice calculation of pion form factors with overlap fermions

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 < r(pi)(2)> = 0.430(5)(13) 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 < r(pi)(2)> depends on both the valence and sea quark masses strongly and predicts the pion form factor up to Q(2) = 1.0 GeV2, which agrees with experiments very well.

Automated summary

By utilizing overlap fermions, we conducted a precise calculation of the pion form factor, finding a mean square charge radius consistent with experimental results. This result takes into account systematic uncertainties such as chiral extrapolation, lattice spacing, and finite-volume dependence. Additionally, we observed a strong dependence of the pion form factor on both valence and sea quark masses, predicting results up to Q(2) = 1.0 GeV2 that align well with experimental findings.