QED interaction effects on heavy meson masses from lattice QCD+QED

Hatton, D., Davies, C.T.H. and Lepage, G.P. (2020) QED interaction effects on heavy meson masses from lattice QCD+QED. Physical Review D, 102(9), 094514. (doi: 10.1103/PhysRevD.102.094514)

Abstract

Hadron masses are subject to few MeV corrections arising from QED interactions, almost entirely arising from the electric charge of the valence quarks. The QED effects include both self-energy contributions and interactions between the valence quarks/anti-quarks. By combining results from different signs of the valence quark electric charge we are able to isolate the interaction term which is dominated by the Coulomb piece, ⟨ α Q E D e q 1 e q 2 / r ⟩ , in the nonrelativistic limit. We study this for D s , η c and J / ψ mesons, working in lattice QCD plus quenched QED. We use gluon field configurations that include up, down, strange and charm quarks in the sea at multiple values of the lattice spacing. Our results, including also values for mesons with quarks heavier than charm, can be used to improve phenomenological models for the QED contributions. The QED interaction term carries information about meson structure; we derive effective sizes ⟨ 1 / r e f f ⟩ − 1 for η c , J / ψ and D s of 0.206(8) fm, 0.321(14) fm and 0.307(31) fm respectively.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Hatton, Dr Daniel and Davies, Professor Christine
• Authors: Hatton, D., Davies, C.T.H., and Lepage, G.P.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physical Review D
• Publisher: American Physical Society
• ISSN: 2470-0010
• ISSN (Online): 2470-0029
• Published Online: 20 November 2020
• Copyright Holders: Copyright © 2020 American Physical Society
• First Published: First published in Physical Review D 102(9): 094514
• Publisher Policy: Reproduced under a Creative Commons License

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
169715		Phenomenology from Lattice QCD and collider physics	Christine Davies	Science and Technology Facilities Council (STFC)	ST/L000466/1	P&S - Physics & Astronomy
173809		Phenomenology from Lattice QCD and Collider Physics	Christine Davies	Science and Technology Facilities Council (STFC)	ST/P000746/1	P&S - Physics & Astronomy