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Phys. Rev. D 81, 014507 (2010) [32 pages]

Neutral kaon mixing parameter BK from unquenched mixed-action lattice QCD

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C. Aubin1,*, Jack Laiho2,†, and Ruth S. Van de Water3,‡
1Department of Physics, College of William and Mary, Williamsburg, Virginia 23187, USA
2Physics Department, Washington University, St. Louis, Missouri 63130, USA
3Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA

Received 24 June 2009; published 21 January 2010

We calculate the neutral kaon mixing parameter BK in unquenched lattice QCD using asqtad-improved staggered sea quarks and domain-wall valence quarks. We use the “2+1” flavor gauge configurations generated by the MILC Collaboration, and simulate with multiple valence and sea-quark masses at two lattice spacings of a≈0.12  fm and a≈0.09  fm. We match the lattice determination of BK to the continuum value using the nonperturbative method of Rome-Southampton, and extrapolate BK to the continuum and physical quark masses using mixed-action chiral perturbation theory. The “mixed-action” method enables us to control all sources of systematic uncertainty and therefore to precisely determine BK; we find a value of BKMS̅ ,NDR(2  GeV)=0.527(6)(21), where the first error is statistical and the second is systematic.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.81.014507
DOI:
10.1103/PhysRevD.81.014507
PACS:
12.38.Gc, 12.15.Hh, 14.40.Be

*caaubin@wm.edu

jlaiho@fnal.gov

ruthv@bnl.gov