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@ARTICLE{Fodor:817800,
      author       = {Fodor, Z. and Hoelbling, C. and Krieg, S. and Lellouch, L.
                      and Lippert, Th. and Portelli, A. and Sastre, A. and Szabo,
                      Kalman and Varnhorst, L.},
      title        = {{U}p and {D}own {Q}uark {M}asses and {C}orrections to
                      {D}ashen’s {T}heorem from {L}attice {QCD} and {Q}uenched
                      {QED}},
      journal      = {Physical review letters},
      volume       = {117},
      number       = {8},
      issn         = {1079-7114},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2016-04440},
      pages        = {082001},
      year         = {2016},
      abstract     = {In a previous Letter [Borsanyi et al., Phys. Rev. Lett.
                      111, 252001 (2013)] we determined the isospin mass
                      splittings of the baryon octet from a lattice calculation
                      based on Nf=2+1 QCD simulations to which QED effects have
                      been added in a partially quenched setup. Using the same
                      data we determine here the corrections to Dashen’s theorem
                      and the individual up and down quark masses. Our ensembles
                      include 5 lattice spacings down to 0.054 fm, lattice sizes
                      up to 6 fm, and average up-down quark masses all the way
                      down to their physical value. For the parameter which
                      quantifies violations to Dashen’s theorem, we obtain
                      ϵ=0.73(2)(5)(17), where the first error is statistical, the
                      second is systematic, and the third is an estimate of the
                      QED quenching error. For the light quark masses we obtain,
                      mu=2.27(6)(5)(4) and md=4.67(6)(5)(4)  MeV in the
                      modified minimal subtraction scheme at 2  GeV and the
                      isospin breaking ratios mu/md=0.485(11)(8)(14),
                      R=38.2(1.1)(0.8)(1.4), and Q=23.4(0.4)(0.3)(0.4). Our
                      results exclude the mu=0 solution to the strong CP problem
                      by more than 24 standard deviations.},
      cin          = {JSC / NIC},
      ddc          = {550},
      cid          = {I:(DE-Juel1)JSC-20090406 / I:(DE-Juel1)NIC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / Up and down quark masses from lattice QCD + QED
                      $(hjs00_20151101)$},
      pid          = {G:(DE-HGF)POF3-511 / $G:(DE-Juel1)hjs00_20151101$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000381495100005},
      pubmed       = {pmid:27588847},
      doi          = {10.1103/PhysRevLett.117.082001},
      url          = {https://juser.fz-juelich.de/record/817800},
}