Gravitational form factors of the pion from lattice QCD

Jul 21, 2023
30 pages
Published in:
  • Phys.Rev.D 108 (2023) 11, 114504
  • Published: Dec 1, 2023
e-Print:
DOI:
Report number:
  • MIT-CTP/5585

Citations per year

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Abstract: (APS)
The two gravitational form factors of the pion, Aπ(t) and Dπ(t), are computed as functions of the momentum transfer squared t in the kinematic region 0-t<2GeV2 on a lattice QCD ensemble with quark masses corresponding to a close-to-physical pion mass mπ170MeV and Nf=2+1 quark flavors. The flavor decomposition of these form factors into gluon, up/down light-quark, and strange-quark contributions is presented in the MS¯ scheme at energy scale μ=2GeV, with renormalization factors computed nonperturbatively via the RI-MOM scheme. Using monopole and z-expansion fits to the gravitational form factors, we obtain estimates for the pion momentum fraction and D term that are consistent with the momentum fraction sum rule and the next-to-leading order chiral perturbation theory prediction for Dπ(0).
Note:
  • 30 pages, 18 figures, 7 tables; version accepted for publication at PRD
  • form factor: gravitation
  • pi: form factor
  • perturbation theory: chiral
  • quark: flavor
  • higher-order: 1
  • pi: mass
  • quark: mass
  • pi: momentum
  • GeV
  • lattice field theory