Lattice calculation of pion form factors with overlap fermions

Gen Wang, Jian Liang, Terrence Draper, Keh Fei Liu, Yi Bo Yang

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4 Scopus citations


We present a precise calculation of the pion form factor using overlap fermions on seven ensembles of ()-flavor domain-wall configurations with pion masses varying from 139 to . 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 , 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 depends on both the valence and sea quark masses strongly and predicts the pion form factor up to , which agrees with experiments very well.

Original languageEnglish
Article number074502
JournalPhysical Review D
Issue number7
StatePublished - Oct 1 2021

Bibliographical note

Funding Information:
We thank the RBC/UKQCD Collaborations for providing their domain-wall gauge configurations and also thank L.-C. Jin and R. J. Hill for constructive discussions. This work is supported in part by the U.S. DOE Grant No. DE-SC0013065 and DOE Grant No. DE-AC05-06OR23177, which is within the framework of the TMD Topical Collaboration. Y. Y. is supported by the Strategic Priority Research Program of Chinese Academy of Sciences, Grants No. XDC01040100 and No. XDB34030300. Y. Y is also supported by NSFC under grant No. 12047503, and a NSFC-DFG joint grant under Grant No. 12061131006 and SCHA 458/22. J. L. is supported by the Science and Technology Program of Guangzhou (Grant No. 2019050001). This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This work used Stampede time under the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1053575. We also thank the National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy.

Funding Information:
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China

Publisher Copyright:
© 2021 Published by the American Physical Society

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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