000017094 001__ 17094 000017094 005__ 20210129210652.0 000017094 0247_ $$2DOI$$a10.1016/j.physletb.2011.10.043 000017094 0247_ $$2WOS$$aWOS:000297490400005 000017094 0247_ $$2altmetric$$aaltmetric:168534 000017094 037__ $$aPreJuSER-17094 000017094 041__ $$aeng 000017094 082__ $$a530 000017094 084__ $$2WoS$$aPhysics, Multidisciplinary 000017094 1001_ $$0P:(DE-Juel1)132580$$aDürr, S.$$b0$$uFZJ 000017094 245__ $$aPrecision computation of the kaon bag parameter 000017094 260__ $$aAmsterdam$$bNorth-Holland Publ.$$c2011 000017094 300__ $$a477 - 481 000017094 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article 000017094 3367_ $$2DataCite$$aOutput Types/Journal article 000017094 3367_ $$00$$2EndNote$$aJournal Article 000017094 3367_ $$2BibTeX$$aARTICLE 000017094 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000017094 3367_ $$2DRIVER$$aarticle 000017094 440_0 $$04934$$aPhysics Letters B$$v705$$x0370-2693$$y5 000017094 500__ $$aWe thank Jerome Charles, Robert Harlander and Steve Sharpe for helpful discussions. Computations were performed using HPC resources from FZ Julich and from GENCI-[IDRIS/CCRT] (grant 52275) and 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 502/2, SFB-TR 55, by CNRS grants GDR 2921 and PICS 4707. 000017094 520__ $$aIndirect CP violation in K -> pi pi decays plays a central role in constraining the flavor structure of the Standard Model (SM) and in the search for new physics. For many years the leading uncertainty in the SM prediction of this phenomenon was the one associated with the nonperturbative strong interaction dynamics in this process. Here we present a fully controlled lattice QCD calculation of these effects, which are described by the neutral kaon mixing parameter B-K. We use a two step HEX smeared clover-improved Wilson action, with four lattice spacings from a approximate to 0.054 fm to a approximate to 0.093 fm and pion masses at and even below the physical value. Nonperturbative renormalization is performed in the RI-MOM scheme, where we find that operator mixing induced by chiral symmetry breaking is very small. Using fully nonperturbative continuum running, we obtain our main result B-K(RI)(3.5 GeV) = 0.531(6)(stat)(2)(sys). A perturbative 2-loop conversion yields B-K((MS) over bar -NDR)(2 GeV) = 0.564(6)(stat)(3)(sys)(6)(PT) and B (B) over cap (K) = 0.773(8)(stat)(3)(sys)(8)(PT), which is in good agreement with current results from fits to experimental data. (C) 2011 Elsevier B.V. All rights reserved. 000017094 536__ $$0G:(DE-Juel1)FUEK411$$2G:(DE-HGF)$$aScientific Computing (FUEK411)$$cFUEK411$$x0 000017094 536__ $$0G:(DE-HGF)POF2-411$$a411 - Computational Science and Mathematical Methods (POF2-411)$$cPOF2-411$$fPOF II$$x1 000017094 588__ $$aDataset connected to Web of Science 000017094 65320 $$2Author$$aCKM physics 000017094 65320 $$2Author$$aFlavor physics 000017094 65320 $$2Author$$aKaon mixing 000017094 65320 $$2Author$$aB-K 000017094 650_7 $$2WoSType$$aJ 000017094 7001_ $$0P:(DE-HGF)0$$aFodor, Z.$$b1 000017094 7001_ $$0P:(DE-HGF)0$$aHoelbling, C.$$b2 000017094 7001_ $$0P:(DE-HGF)0$$aKatz, S.D.$$b3 000017094 7001_ $$0P:(DE-Juel1)132171$$aKrieg, S.$$b4$$uFZJ 000017094 7001_ $$0P:(DE-HGF)0$$aKurth, T.$$b5 000017094 7001_ $$0P:(DE-HGF)0$$aLellouch, L.$$b6 000017094 7001_ $$0P:(DE-Juel1)132179$$aLippert, Th.$$b7$$uFZJ 000017094 7001_ $$0P:(DE-HGF)0$$aMcNeile, C.$$b8 000017094 7001_ $$0P:(DE-HGF)0$$aPortelli, A.$$b9 000017094 7001_ $$0P:(DE-HGF)0$$aSzabó, K.K.$$b10 000017094 773__ $$0PERI:(DE-600)1466612-1$$a10.1016/j.physletb.2011.10.043$$gVol. 705, p. 477 - 481$$p477 - 481$$q705<477 - 481$$tPhysics letters / B$$v705$$x0370-2693$$y2011 000017094 8567_ $$uhttp://dx.doi.org/10.1016/j.physletb.2011.10.043 000017094 909CO $$ooai:juser.fz-juelich.de:17094$$pVDB 000017094 915__ $$0StatID:(DE-HGF)0010$$aJCR/ISI refereed 000017094 9141_ $$y2011 000017094 9132_ $$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$$x0 000017094 9131_ $$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$$x1 000017094 9201_ $$0I:(DE-Juel1)JSC-20090406$$gJSC$$kJSC$$lJülich Supercomputing Centre$$x0 000017094 970__ $$aVDB:(DE-Juel1)131482 000017094 980__ $$aVDB 000017094 980__ $$aConvertedRecord 000017094 980__ $$ajournal 000017094 980__ $$aI:(DE-Juel1)JSC-20090406 000017094 980__ $$aUNRESTRICTED