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

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, $⟨{\alpha }_{\mathrm{QED}}{e}_{q_1}{e}_{{\overline{q}}_2}/r⟩$, in the nonrelativistic limit. We study this for $D_s$, ${\eta }_c$ and $J/\psi$ 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 $⟨1/r_{\mathrm{eff}}{⟩}^{-1}$ for ${\eta }_c$, $J/\psi$ and $D_s$ of 0.206(8) fm, 0.321(14) fm and 0.307(31) fm respectively.

arXiv comment8 pages, 3 figures

References in corpus (24)

• QCD forces and heavy quark bound states
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Ab initio calculation of the neutron-proton mass difference
• Mesons with Beauty and Charm: Spectroscopy
• Quarkonium Wave Functions at the Origin
• High-precision scale setting in lattice QCD
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks
• Electromagnetic Splittings and Light Quark Masses in Lattice QCD
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Neutral B-meson mixing from full lattice QCD at the physical point
• Precise determination of the lattice spacing in full lattice QCD
• Leading isospin-breaking corrections to pion, kaon and charmed-meson masses with Twisted-Mass fermions
• Finite-Volume Electromagnetic Corrections to the Masses of Mesons, Baryons and Nuclei
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Gradient flow and scale setting on MILC HISQ ensembles
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Lattice computation of the electromagnetic contributions to kaon and pion masses
• Strong and Electromagnetic Mass Splittings in Heavy Mesons
• Electromagnetic contribution to $\Sigma$-$\Lambda$ mixing using lattice QCD+QED
• The Heavy Hadron Spectrum

Cited by in corpus (1)

• Bottomonium precision tests from full lattice QCD: hyperfine splitting, ${\rm Y}$ leptonic width and $b$ quark contribution to $e^{+}{e}^{-}\to$ hadrons