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Lattice Calculation of Pion Form Factor with Overlap Fermions
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Lattice Calculation of Pion Form Factor with Overlap Fermions
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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.
Forward citations
Cited by 4 Pith papers
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD
First lattice QCD results for Mellin moments of pion and kaon unpolarized PDFs from nonlocal operator matrix elements on a 32^3×64 twisted-mass ensemble at m_π=260 MeV, extracted at NNLO and μ=2 GeV.
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An improvement of model-independent method for meson charge radius calculation
An auxiliary function of Q squared is introduced to reformulate the model-independent extraction of meson charge radii, suppressing higher-order finite-volume contributions more effectively than previous methods.
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Extraction of Pion Unpolarized Quark Generalized Parton Distribution from Charge Form Factors
Pion unpolarized quark GPDs at zero skewness are extracted from a data-driven fit to the electromagnetic form factor and PDFs using a parameterized form factor embedded in a PDF-plus-profile GPD framework.
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