Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-09-06
Phys.Rev.D75:034502,2007
Physics
High Energy Physics
High Energy Physics - Lattice
29 pages, 4 figures; Expanded spurion discussion, other discussions clarified, version to appear in PRD
Scientific paper
10.1103/PhysRevD.75.034502
We calculate the kaon B-parameter, B_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 O(a^2) 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_K by an amount of O(a^2). This term, however, is not strictly due to taste-breaking, and is therefore also present in the expression for B_K for pure G-W lattice fermions. We also present a numerical study of the mixed B_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.
Aubin Christopher
de Water Ruth S. Van
Laiho Jack
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