000012187 001__ 12187 000012187 005__ 20210129210553.0 000012187 0247_ $$2DOI$$a10.1016/j.physletb.2011.05.053 000012187 0247_ $$2WOS$$aWOS:000292993900014 000012187 0247_ $$2altmetric$$aaltmetric:15738842 000012187 037__ $$aPreJuSER-12187 000012187 041__ $$aeng 000012187 082__ $$a530 000012187 084__ $$2WoS$$aPhysics, Multidisciplinary 000012187 1001_ $$0P:(DE-HGF)0$$aDurr, S.$$b0 000012187 245__ $$aLattice QCD at the physical point: Light quark masses 000012187 260__ $$aAmsterdam$$bNorth-Holland Publ.$$c2011 000012187 300__ $$a265 - 268 000012187 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article 000012187 3367_ $$2DataCite$$aOutput Types/Journal article 000012187 3367_ $$00$$2EndNote$$aJournal Article 000012187 3367_ $$2BibTeX$$aARTICLE 000012187 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000012187 3367_ $$2DRIVER$$aarticle 000012187 440_0 $$04934$$aPhysics Letters B$$v701$$x0370-2693$$y2 000012187 500__ $$aWe used HPC resources from FZ Julich and from GENCI[IDRIS/CCRT] grant 52275, as well as clusters at Wuppertal and CPT. This work is supported in part by EU grants I3HP, FP7/2007-2013/ERC No. 208740, MRTN-CT-2006-035482 (FLAVIAnet), DFG grants FO 50212, SFB-TR 55 and CNRS grants GDR 2921 and PICS 4707. 000012187 520__ $$aOrdinary matter is described by six fundamental parameters: three couplings (gravitational, electromagnetic and strong) and three masses: the electron's (m(e)) and those of the up (m(u)) and down (m(d)) quarks. An additional mass enters through quantum fluctuations: the strange quark mass (m(s)). The three couplings and m(e) are known with an accuracy of better than a few per mil. Despite their importance, m(u), m(d) (their average m(ud)) and m(s) are far less accurately known. Here we determine them with a precision below 2% by performing ab initio lattice quantum chromodynamics (QCD) calculations, in which all systematics are controlled. We use pion and quark masses down to (and even below) their physical values, lattice sizes of up to 6 fm, and five lattice spacings to extrapolate to continuum spacetime. All necessary renormalizations are performed nonperturbatively. (C) 2011 Elsevier B.V. All rights reserved. 000012187 536__ $$0G:(DE-Juel1)FUEK411$$2G:(DE-HGF)$$aScientific Computing (FUEK411)$$cFUEK411$$x0 000012187 536__ $$0G:(DE-HGF)POF2-411$$a411 - Computational Science and Mathematical Methods (POF2-411)$$cPOF2-411$$fPOF II$$x1 000012187 536__ $$0G:(EU-Grant)208740$$aQCDTHERMO - QCD thermodynamics on the lattice (208740)$$c208740$$fERC-2007-StG$$x2 000012187 588__ $$aDataset connected to Web of Science 000012187 65320 $$2Author$$aQuark masses 000012187 65320 $$2Author$$aLattice QCD 000012187 650_7 $$2WoSType$$aJ 000012187 7001_ $$0P:(DE-HGF)0$$aFodor, Z.$$b1 000012187 7001_ $$0P:(DE-HGF)0$$aHoelbling, C.$$b2 000012187 7001_ $$0P:(DE-HGF)0$$aKatz, S.D.$$b3 000012187 7001_ $$0P:(DE-Juel1)132171$$aKrieg, S.$$b4$$uFZJ 000012187 7001_ $$0P:(DE-HGF)0$$aKurth, T.$$b5 000012187 7001_ $$0P:(DE-HGF)0$$aLellouch, L.$$b6 000012187 7001_ $$0P:(DE-Juel1)132179$$aLippert, T.$$b7$$uFZJ 000012187 7001_ $$0P:(DE-HGF)0$$aSzabo, K.K.$$b8 000012187 7001_ $$0P:(DE-HGF)0$$aVulvert, G.$$b9 000012187 773__ $$0PERI:(DE-600)1466612-1$$a10.1016/j.physletb.2011.05.053$$gVol. 701, p. 265 - 268$$p265 - 268$$q701<265 - 268$$tPhysics letters / B$$v701$$x0370-2693$$y2011 000012187 8567_ $$uhttp://dx.doi.org/10.1016/j.physletb.2011.05.053 000012187 909CO $$ooai:juser.fz-juelich.de:12187$$pec_fundedresources$$pVDB$$popenaire 000012187 915__ $$0StatID:(DE-HGF)0010$$aJCR/ISI refereed 000012187 9141_ $$y2011 000012187 9132_ $$0G:(DE-HGF)POF3-511$$1G:(DE-HGF)POF3-510$$2G:(DE-HGF)POF3-500$$aDE-HGF$$bKey Technologies$$lSupercomputing & Big Data$$vComputational Science and Mathematical Methods$$x0 000012187 9131_ $$0G:(DE-HGF)POF2-411$$1G:(DE-HGF)POF2-410$$2G:(DE-HGF)POF2-400$$3G:(DE-HGF)POF2$$4G:(DE-HGF)POF$$aDE-HGF$$bSchlüsseltechnologien$$lSupercomputing$$vComputational Science and Mathematical Methods$$x1 000012187 9201_ $$0I:(DE-Juel1)JSC-20090406$$gJSC$$kJSC$$lJülich Supercomputing Centre$$x0 000012187 970__ $$aVDB:(DE-Juel1)123725 000012187 980__ $$aVDB 000012187 980__ $$aConvertedRecord 000012187 980__ $$ajournal 000012187 980__ $$aI:(DE-Juel1)JSC-20090406 000012187 980__ $$aUNRESTRICTED