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Pion form factor and charge radius from Lattice QCD at physical point

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arxiv 2102.06047 v3 pith:IBEJSTQG submitted 2021-02-11 hep-lat hep-exhep-phnucl-th

Xiang Gao , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky , Sergey Syritsyn , Yong Zhao This is my paper · ORCID
classification hep-lathep-exhep-phnucl-th
keywords latticepionfactorformphysicalmassresultscharge
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present our results on the electromagnetic form factor of pion over a wide range of $Q^2$ using lattice QCD simulations with Wilson-clover valence quarks and HISQ sea quarks. We study the form factor at the physical point with a lattice spacing $a=0.076$ fm. To study the lattice spacing and quark mass effects, we also present results for 300 MeV pion at two different lattice spacings $a=0.04$ and 0.06 fm. The lattice calculations at the physical quark mass appear to agree with the experimental results. Through fits to the form factor, we estimate the charge radius of pion for physical pion mass to be $\langle r_{\pi}^2 \rangle=0.42(2)~{\rm fm}^2$.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dispersive analysis of the pion vector form factor without zeros

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Imposing the absence of complex zeros in the pion vector form factor reduces the dominant systematic uncertainty and makes the tensions between CMD-3 and other e+e- data sets appear sharper, including in the pion char...

  2. Feasibility Study of Pion and Kaon Structure via the Sullivan Process at EicC

    hep-ex 2025-12 conditional novelty 5.0 of 10

    EicC could measure pion and kaon structure functions via the Sullivan process with statistical uncertainties below 5% (pion) and 8% (kaon) in most kinematic bins, according to Monte Carlo projections.

  3. Calculation of meson charge radii using model-independent method in the PACS10 configuration

    hep-lat 2024-12 conditional novelty 4.0 of 10

    The PACS collaboration obtains preliminary charge radii of 0.423(10) fm^2 for pi+ and 0.373(4) fm^2 for K+ at a single lattice spacing, consistent with experiment.

  4. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

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