The pion form factor from lattice QCD with two dynamical flavours

Abstract

We compute the electromagnetic form factor of the pion using non-perturbatively O(a) improved Wilson fermions. The calculations are done for a wide range of pion masses and lattice spacings. We check for finite size effects by repeating some of the measurements on smaller lattices. The large number of lattice parameters we use allows us to extrapolate to the physical point. For the square of the charge radius we find <r^2>=0.441(20) fm^2, in good agreement with experiment.

19 pages, 10 figures, improved analysis of uncertainties

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Cited by in corpus (68)

• FLAG Review 2019
• FLAG Review 2021
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• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Hadron structure from lattice quantum chromodynamics
• Timelike pion form factor in lattice QCD
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• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• The spin structure of the pion
• Composite Goldstone Dark Matter: Experimental Predictions from the Lattice
• Lattice QCD study of the Boer-Mulders effect in a pion
• Pion form factors from two-flavor lattice QCD with exact chiral symmetry
• The Present and Future of QCD
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• Transition between nuclear and quark-gluon descriptions of hadrons and light nuclei
• Radiative transitions in charmonium from $N_f=2$ twisted mass lattice QCD
• Pion form factor and charge radius from Lattice QCD at physical point
• The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
• The scalar pion form factor in two-flavor lattice QCD
• Lattice Calculation of Pion Form Factor with Overlap Fermions
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• Deeply virtual Compton scattering on a virtual pion target
• Pion Generalized Parton Distributions within a fully covariant constituent quark model
• Elucidating the effect of intermediate resonances in the quark interaction kernel on the time-like electromagnetic pion form factor
• Finite-volume effects in $(g-2{)}_{\mu }^{\text{HVP,LO}}$
• First moments of the nucleon transverse quark spin densities using lattice QCD
• Lattice QCD calculation of the pion charge radius using a model-independent method
• The size of the pion from full lattice QCD with physical $u$, $d$, $s$ and $c$ quarks
• The pseudoscalar meson electromagnetic form factor at high $Q^2$ from full lattice QCD
• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• Light meson electromagnetic form factors from three-flavor lattice QCD with exact chiral symmetry
• Finite-volume and thermal effects in the leading-HVP contribution to muonic $(g-2)$
• Electromagnetic form factors of the pion and kaon from the instanton vacuum
• The pion vector form factor from Lattice QCD at the physical point
• Electromagnetic pion and kaon form factors in light-cone resummed perturbative QCD
• The Mellin moments $⟨x⟩$ and $⟨x^2⟩$ for the pion and kaon from lattice QCD
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• The scalar, vector and tensor form factors for the pion and kaon from lattice QCD
• Spin structure of the pion from the instanton vacuum
• QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes
• Electromagnetic form factor of pion from N_f=2+1 dynamical flavor QCD
• Pion electromagnetic form factor, perturbative QCD, and large-Nc Regge models
• Two-current correlations in the pion on the lattice
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Generalized form factors and spin structures of the kaon
• The electromagnetic form factor of the pion: Results from the lattice
• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• Hadronic structure from the lattice
• Hadron Structure in Lattice QCD
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• Scalar, Vector and Tensor Form Factors of Pion and Kaon
• Effect of nuclear medium on the spatial distribution of pions
• Pion radiative weak decay from the instanton vacuum
• Exploring the Pion phenomenology within a fully covariant constituent quark model
• RQM description of PS meson form factors, constraints from space-time translations, and underlying dynamics
• Pion Form Factor in QCD Sum Rules with Nonlocal Condensates and in the Local-Duality Approach
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• Determination of the pion generalized parton distributions at zero skewness
• Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections
• Pion Form Factor in the NLC QCD SR approach
• Pion structure in Holographic QCD
• Pion Form Factor in QCD: How to Calculate?