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

L. Varnhorst, S. Durr, Z. Fodor, C. Hoelbling, S. Krieg, L. Lellouch, A. Portelli, A. Sastre, K. K. Szabo

Research output: Contribution to journalConference article

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 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.

Original languageEnglish
JournalProceedings of Science
VolumePart F128557
Publication statusPublished - Jan 1 2016
Event34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom
Duration: Jul 24 2016Jul 30 2016

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theorems
quantum chromodynamics
quarks
standard deviation
simulation
quenching
spacing
estimates

ASJC Scopus subject areas

  • General

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Varnhorst, L., Durr, S., Fodor, Z., Hoelbling, C., Krieg, S., Lellouch, L., ... Szabo, K. K. (2016). Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED. Proceedings of Science, Part F128557.

Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED. / Varnhorst, L.; Durr, S.; Fodor, Z.; Hoelbling, C.; Krieg, S.; Lellouch, L.; Portelli, A.; Sastre, A.; Szabo, K. K.

In: Proceedings of Science, Vol. Part F128557, 01.01.2016.

Research output: Contribution to journalConference article

Varnhorst, L, Durr, S, Fodor, Z, Hoelbling, C, Krieg, S, Lellouch, L, Portelli, A, Sastre, A & Szabo, KK 2016, 'Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED', Proceedings of Science, vol. Part F128557.
Varnhorst L, Durr S, Fodor Z, Hoelbling C, Krieg S, Lellouch L et al. Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED. Proceedings of Science. 2016 Jan 1;Part F128557.
Varnhorst, L. ; Durr, S. ; Fodor, Z. ; Hoelbling, C. ; Krieg, S. ; Lellouch, L. ; Portelli, A. ; Sastre, A. ; Szabo, K. K. / Up and down quark masses and corrections to Dashen's theorem from lattice QCD and quenched QED. In: Proceedings of Science. 2016 ; Vol. Part F128557.
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AU - Durr, S.

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AU - Krieg, S.

AU - Lellouch, L.

AU - Portelli, A.

AU - Sastre, A.

AU - Szabo, K. K.

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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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