% IMPORTANT: The following is UTF-8 encoded. This means that in the presence % of non-ASCII characters, it will not work with BibTeX 0.99 or older. % Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or % “biber”. @ARTICLE{Drr:17094, author = {Dürr, S. and Fodor, Z. and Hoelbling, C. and Katz, S.D. and Krieg, S. and Kurth, T. and Lellouch, L. and Lippert, Th. and McNeile, C. and Portelli, A. and Szabó, K.K.}, title = {{P}recision computation of the kaon bag parameter}, journal = {Physics letters / B}, volume = {705}, issn = {0370-2693}, address = {Amsterdam}, publisher = {North-Holland Publ.}, reportid = {PreJuSER-17094}, pages = {477 - 481}, year = {2011}, note = {We 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.}, abstract = {Indirect 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.}, keywords = {J (WoSType)}, cin = {JSC}, ddc = {530}, cid = {I:(DE-Juel1)JSC-20090406}, pnm = {Scientific Computing (FUEK411) / 411 - Computational Science and Mathematical Methods (POF2-411)}, pid = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411}, shelfmark = {Physics, Multidisciplinary}, typ = {PUB:(DE-HGF)16}, UT = {WOS:000297490400005}, doi = {10.1016/j.physletb.2011.10.043}, url = {https://juser.fz-juelich.de/record/17094}, }