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 Jülich and HPC resources provided by the "Grand équipement national de calcul intensif" (GENCI) at the "Institut du développement et des ressources en informatique scientifique" (IDRIS) (GENCI-IDRIS Grant No. 52275), as well as further resources at FZ Jülich and clusters at Wuppertal and Centre de Physique Théorique. 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.
Publisher Copyright:
© Copyright owned by the author(s).
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.
UR - https://www.scopus.com/pages/publications/85025804479
UR - https://www.scopus.com/pages/publications/85025804479#tab=citedBy
M3 - Conference article
AN - SCOPUS:85025804479
SN - 1824-8039
VL - Part F128557
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016
Y2 - 24 July 2016 through 30 July 2016
ER -