TY - JOUR

T1 - Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED

AU - Varnhorst, L.

AU - Durr, S.

AU - Fodor, Z.

AU - Hoelbling, C.

AU - Krieg, S.

AU - Lellouch, L.

AU - Portelli, A.

AU - Sastre, A.

AU - Szabo, K. K.

N1 - Funding Information:
Computations were performed using the PRACE Research Infrastructure resource JUGENE based in Germany at FZ J?lich and HPC resources provided by the "Grand ?quipement national de calcul intensif" (GENCI) at the "Institut du d?veloppement et des ressources en informatique scientifique" (IDRIS) (GENCI-IDRIS Grant No. 52275), as well as further resources at FZ J?lich and clusters at Wuppertal and Centre de Physique Th?orique. This work was supported in part by the OCEVU Laboratoire d'excellence (ANR-11-LABX-0060) and the AMIDEX Project (ANR-11- IDEX-0001-02) which are funded by the "Investissements d'Avenir" French government program and managed by the "Agence nationale de la recherche" (ANR), by CNRS Grants No. GDR No. 2921 and PICS No. 4707, by EU Grants FP7/2007-2013/ERC No. 208740, MRTN-CT-2006-035482 (FLAVIAnet), by DFG Grants No. FO 502/2, SFB TRR-55 and UK STFC Grants No. ST/L000296/1 and ST/L000458/1. L. V. was partially supported by a GSI grant.

PY - 2016

Y1 - 2016

N2 - 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 Nf = 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 e =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)MeV and md = 4:67(6)(5)(4)MeV in the MS scheme at 2GeV 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.

AB - 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 Nf = 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 e =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)MeV and md = 4:67(6)(5)(4)MeV in the MS scheme at 2GeV 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.

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M3 - Conference article

AN - SCOPUS:85025804479

VL - Part F128557

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016

Y2 - 24 July 2016 through 30 July 2016

ER -