Lattice computation of the electromagnetic contributions to kaon and pion masses

S. Basak, A. Bazavov, C. Bernard, C. DeTar, L. Levkova, E. Freeland, Steven Gottlieb, A. Torok, U. M. Heller, J. Laiho, J. Osborn, R. L. Sugar, D. Toussaint, R. S. van de Water, R. Zhou

Research output: Contribution to journalArticlepeer-review


We present a lattice calculation of the electromagnetic (EM) effects on the masses of light pseudoscalar mesons. The simulations employ 2+1 dynamical flavors of asqtad QCD quarks, and quenched photons. Lattice spacings vary from ≈0.12 fm to ≈0.045 fm. We compute the quantity ε, which parameterizes the corrections to Dashen’s theorem for the K+–K0 EM mass splitting, as well as εK0, which parameterizes the EM contribution to the mass of the K0 itself. An extension of the nonperturbative EM renormalization scheme introduced by the BMW group is used in separating EM effects from isospin-violating quark mass effects. We correct for leading finite-volume effects in our realization of lattice electrodynamics in chiral perturbation theory, and remaining finite-volume errors are relatively small. While electroquenched effects are under control for ε, they are estimated only qualitatively for εK0, and constitute one of the largest sources of uncertainty for that quantity. We find ε = 0.78(1)stat(+118)syst and εK0 = 0.035(3)stat(20)syst. We then use these results on 2+1+1 flavor pure QCD highly improved staggered quark (HISQ) ensembles and find mu/md = 0.4529(48)stat(+15067)syst.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Jul 15 2018

ASJC Scopus subject areas

  • General

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