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@INPROCEEDINGS{Varnhorst:827319,
      author       = {Varnhorst, L. and Durr, S. and Fodor, Z. and Hoelbling, C.
                      and Krieg, S. and Lellouch, L. and Portelli, A. and Sastre,
                      A. and Szabo, Kalman},
      title        = {{U}p and down quark masses and corrections to {D}ashen's
                      theorem from lattice {QCD} and quenched {QED}},
      volume       = {LATTICE2016},
      issn         = {1824-8039},
      address      = {Trieste},
      publisher    = {SISSA},
      reportid     = {FZJ-2017-01490},
      series       = {Proceedings of Science LATTICE2016 200},
      pages        = {200},
      year         = {2017},
      abstract     = {We present a determination of the corrections to Dashen's
                      theorem and of the individual up and down quark masses from
                      a lattice calculation based on quenched QED and $N_f =2+1$
                      QCD simulations with 5 lattice spacings down to 0.054 fm.
                      The simulations feature 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
                      Dashens's theorem we obtain $\epsilon=0.73(2)(5)(17)$, 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, $m_u=2.27(6)(5)(4) \, MeV$
                      and $m_d=4.67(6)(5)(4) \, MeV$ in the $\overline{MS}$ scheme
                      at $2 \, GeV$ and the isospin breaking ratios
                      $m_u/m_d=0.485(11)(8)(14)$, $R=38.2(1.1)(0.8)(1.4)$ and
                      $Q=23.4(0.4)(0.3)(0.4)$. Our results exclude the $m_u=0$
                      solution to the strong CP problem by more than 24 standard
                      deviations.},
      month         = {Jul},
      date          = {2016-07-24},
      organization  = {34th annual International Symposium on
                       Lattice Field Theory, Southampton (UK),
                       24 Jul 2016 - 30 Jul 2016},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      eprint       = {1702.00309},
      howpublished = {arXiv:1702.00309},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1702.00309;\%\%$},
      url          = {https://juser.fz-juelich.de/record/827319},
}