@article{dfc7022937214e04a8b6b6719edef872,
title = "Lattice computation of the electromagnetic contributions to kaon and pion masses",
abstract = "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 parametrizes the corrections to Dashen's theorem for the K+-K0 EM mass splitting, as well as ϵK0, which parametrizes 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(+8-11)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(+150-67)syst.",
author = "S. Basak and A. Bazavov and C. Bernard and C. Detar and L. Levkova and E. Freeland and Steven Gottlieb and A. Torok and Heller, {U. M.} and J. Laiho and J. Osborn and Sugar, {R. L.} and D. Toussaint and {Van De Water}, {R. S.} and R. Zhou",
note = "Funding Information: We thank Laurent Lellouch, Antonin Portelli, and Francesco Sanfilippo for useful discussions. The spectrum running was done on computers at the National Center for Supercomputing Applications, Indiana University, the Texas Advanced Computing Center (TACC), and the National Institute for Computational Science (NICS). Configurations were generated with resources provided by the USQCD Collaboration, the Argonne Leadership Computing Facility, and the National Energy Research Scientific Computing Center, which are funded by the Office of Science of the U.S. Department of Energy, and with resources provided by the National Center for Atmospheric Research, NICS, the Pittsburgh Supercomputer Center, the San Diego Supercomputer Center, and TACC, which are funded through the National Science Foundation{\textquoteright}s XSEDE Program and Indiana University. This work was supported in part by the U.S. Department of Energy under Grants No. DE-FG02-91ER-40628, No. DE-FG02-91ER-40661, No. DE-FG02-04ER-41298, No. DE-FC02-06ER41446, No. DE-SC0010120 and No. DE-FC02-06ER41443 and the National Science Foundation under Grants No. PHY07-57333, No. PHY07-03296, No. PHY07-57035, No. PHY07-04171, No. PHY09-03571, No. PHY09-70137, No. PHY10-67881, No. PHY14-14614, No. PHY17-19626, No. PHY05-55234, No. PHY05-55235, and No. PHY12-12389. This research was supported in part by the Lilly Endowment, Inc., through its support for the Indiana University Pervasive Technology Institute, and in part by the Indiana METACyt Initiative. The Indiana METACyt Initiative at IU was also supported in part by the Lilly Endowment, Inc. Fermilab is operated by Fermi Research Alliance, LLC, under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy. For this work, we employ QUDA . Funding Information: We thank Laurent Lellouch, Antonin Portelli, and Francesco Sanfilippo for useful discussions. The spectrum running was done on computers at the National Center for Supercomputing Applications, Indiana University, the Texas Advanced Computing Center (TACC), and the National Institute for Computational Science (NICS). Configurations were generated with resources provided by the USQCD Collaboration, the Argonne Leadership Computing Facility, and the National Energy Research Scientific Computing Center, which are funded by the Office of Science of the U.S. Department of Energy, and with resources provided by the National Center for Atmospheric Research, NICS, the Pittsburgh Supercomputer Center, the San Diego Supercomputer Center, and TACC, which are funded through the National Science Foundation{\^a}€{\texttrademark}s XSEDE Program and Indiana University. This work was supported in part by the U.S. Department of Energy under Grants No.{\^A} DE-FG02-91ER-40628, No.{\^A} DE-FG02-91ER-40661, No.{\^A} DE-FG02-04ER-41298, No.{\^A} DE-FC02-06ER41446, No.{\^A} DE-SC0010120 and No.{\^A} DE-FC02-06ER41443 and the National Science Foundation under Grants No.{\^A} PHY07-57333, No.{\^A} PHY07-03296, No.{\^A} PHY07-57035, No.{\^A} PHY07-04171, No.{\^A} PHY09-03571, No.{\^A} PHY09-70137, No.{\^A} PHY10-67881, No.{\^A} PHY14-14614, No.{\^A} PHY17-19626, No.{\^A} PHY05-55234, No.{\^A} PHY05-55235, and No.{\^A} PHY12-12389. This research was supported in part by the Lilly Endowment, Inc., through its support for the Indiana University Pervasive Technology Institute, and in part by the Indiana METACyt Initiative. The Indiana METACyt Initiative at IU was also supported in part by the Lilly Endowment, Inc. Fermilab is operated by Fermi Research Alliance, LLC, under Contract No.{\^A} DE-AC02-07CH11359 with the U.S. Department of Energy. Publisher Copyright: {\textcopyright} 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the https://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP . ",
year = "2019",
month = feb,
day = "1",
doi = "10.1103/PhysRevD.99.034503",
language = "English (US)",
volume = "99",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "3",
}