Gravitational form factors of the pion from lattice QCD
Jul 21, 202330 pages
Published in:
- Phys.Rev.D 108 (2023) 11, 114504
- Published: Dec 1, 2023
e-Print:
- 2307.11707 [hep-lat]
DOI:
- 10.1103/PhysRevD.108.114504 (publication)
Report number:
- MIT-CTP/5585
View in:
Citations per year
Abstract: (APS)
The two gravitational form factors of the pion, and , are computed as functions of the momentum transfer squared in the kinematic region on a lattice QCD ensemble with quark masses corresponding to a close-to-physical pion mass and quark flavors. The flavor decomposition of these form factors into gluon, up/down light-quark, and strange-quark contributions is presented in the scheme at energy scale , with renormalization factors computed nonperturbatively via the RI-MOM scheme. Using monopole and -expansion fits to the gravitational form factors, we obtain estimates for the pion momentum fraction and term that are consistent with the momentum fraction sum rule and the next-to-leading order chiral perturbation theory prediction for .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
References(105)
Figures(37)
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