Lattice Calculation of Pion Form Factor with Overlap Fermions

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 $⟨r_{\pi }^2⟩=0.430(5)(13)\mathrm{f}{\mathrm{m}}^2$, 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 predict the pion form factor up to $Q^2=1.0\mathrm{Ge}{\mathrm{V}}^2$ which agrees with experiments very well.

15 pages, 17 figures, matched to the version accepted by PRD

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Cited by in corpus (16)

• FLAG Review 2021
• Constraints on the two-pion contribution to hadronic vacuum polarization
• Pion form factor and charge radius from Lattice QCD at physical point
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• Sound velocity peak and conformality in isospin QCD
• Chiral extrapolation of hadronic vacuum polarization
• The scalar, vector and tensor form factors for the pion and kaon from lattice QCD
• Trace anomaly form factors from lattice QCD
• QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
• Thermal effects on sound velocity peak and conformality in isospin QCD
• Distance between various discretized fermion actions
• Baryonic form factors of the pion and kaon in a chiral quark model
• Baryonic content of the pion
• In-medium electromagnetic form factors of pseudoscalar mesons from the quark model
• Determination of the pion generalized parton distributions at zero skewness
• Proton momentum and angular momentum decompositions with overlap fermions