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Title: Kaon B-parameter in mixed action chiral perturbation theory

Abstract

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 1-loop order, taste-symmetry violations in the staggered sea sector only contribute to flavor-disconnected diagrams by generating an O(a{sup 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{sub K} by an amount of O(a{sup 2}). This term, however, is not strictly due to taste breaking, and is therefore also present in the expression for B{sub K} for pure Ginsparg-Wilson 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.

Authors:
 [1]; ;  [2]
  1. Department of Physics, Columbia University, New York, New York 10027 (United States)
  2. Theoretical Physics Department, Fermilab, Batavia, Illinois 60510 (United States)
Publication Date:
OSTI Identifier:
21010998
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.034502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; CHIRALITY; ERRORS; FLAVOR MODEL; KAONS; LATTICE FIELD THEORY; NUMERICAL ANALYSIS; PERTURBATION THEORY; QUARKS; REST MASS; SYMMETRY BREAKING; VALENCE

Citation Formats

Aubin, C., Laiho, Jack, and Water, Ruth S. van de. Kaon B-parameter in mixed action chiral perturbation theory. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.034502.
Aubin, C., Laiho, Jack, & Water, Ruth S. van de. Kaon B-parameter in mixed action chiral perturbation theory. United States. doi:10.1103/PHYSREVD.75.034502.
Aubin, C., Laiho, Jack, and Water, Ruth S. van de. Thu . "Kaon B-parameter in mixed action chiral perturbation theory". United States. doi:10.1103/PHYSREVD.75.034502.
@article{osti_21010998,
title = {Kaon B-parameter in mixed action chiral perturbation theory},
author = {Aubin, C. and Laiho, Jack and Water, Ruth S. van de},
abstractNote = {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 1-loop order, taste-symmetry violations in the staggered sea sector only contribute to flavor-disconnected diagrams by generating an O(a{sup 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{sub K} by an amount of O(a{sup 2}). This term, however, is not strictly due to taste breaking, and is therefore also present in the expression for B{sub K} for pure Ginsparg-Wilson 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.},
doi = {10.1103/PHYSREVD.75.034502},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 75,
place = {United States},
year = {Thu Feb 01 00:00:00 EST 2007},
month = {Thu Feb 01 00:00:00 EST 2007}
}