Abstract
We present a lattice calculation of the electromagnetic (EM) effects on the masses of light pseudoscalar mesons. The simulations employ dynamical flavors of asqtad QCD quarks and quenched photons. Lattice spacings vary from to . We compute the quantity , which parametrizes the corrections to Dashen’s theorem for the – EM mass splitting, as well as , which parametrizes the EM contribution to the mass of the 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 , they are estimated only qualitatively for and constitute one of the largest sources of uncertainty for that quantity. We find and . We then use these results on flavor pure QCD highly improved staggered quark (HISQ) ensembles and find .
14 More- Received 22 July 2018
DOI:https://doi.org/10.1103/PhysRevD.99.034503
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Published by the American Physical Society