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The Kaon B-parameter in mixed action chiral perturbation theory [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 2006.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
29 pages : digital, PDF file
Additional Creators
Fermi National Accelerator Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
We calculate the kaon B-parameter, B{sub K}, in chiral perturbation theory for a partially quenched, mixed action theory with Ginsparg-Wilson valence quarks and staggered sea quarks. We find that the resulting expression is similar to that in the continuum, and in fact has only two additional unknown parameters. At one-loop order, taste-symmetry violations in the staggered sea sector only contribute to flavor-disconnected diagrams by generating an Ο(a²) shift to the masses of taste-singlet sea-sea mesons. Lattice discretization errors also give rise to an analytic term which shifts the tree-level value of B{sub K} by an amount of Ο(a²). This term, however, is not strictly due to taste-breaking, and is therefore also present in the expression for B{sub K} for pure G-W lattice fermions. We also present a numerical study of the mixed B{sub K} expression in order to demonstrate that both discretization errors and finite volume effects are small and under control on the MILC improved staggered lattices.
Report Numbers
E 1.99:fermilab-pub-06-325-t
fermilab-pub-06-325-t
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Note
Published through SciTech Connect.
09/01/2006.
"fermilab-pub-06-325-t"
"arXiv eprint number hep-lat/0609009"
Phys.Rev.D75:034502,2007 75 ISSN 0556-2821; PRVDAQ FT
Aubin, C.; Laiho, Jack; Van de Water, Ruth S.
Funding Information
AC02-07CH11359
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