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Title: B{sub K} in staggered chiral perturbation theory

Abstract

We calculate the kaon B parameter, B{sub K}, to next-to-leading order in staggered chiral perturbation theory. We find expressions for partially quenched QCD with three sea quarks, quenched QCD, and full QCD with m{sub u}=m{sub d}{ne}m{sub s}. We extend the usual power counting to include the effects of using perturbative (rather than nonperturbative) matching factors. Taste breaking enters through the O(a{sup 2}) terms in the effective action, through O(a{sup 2}) terms from the discretization of operators, and through the truncation of matching factors. These effects cause mixing with several additional operators, complicating the chiral and continuum extrapolations. In addition to the staggered expressions, we present B{sub K} at next-to-leading order in continuum PQ{chi}PT for N{sub f}=3 sea quarks with m{sub u}=m{sub d}{ne}m{sub s}.

Authors:
;  [1]
  1. Physics Department, University of Washington, Seattle, Washington 98195-1560 (United States)
Publication Date:
OSTI Identifier:
20774588
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.73.014003; (c) 2006 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; KAONS; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUARKS

Citation Formats

Water, Ruth S. van de, and Sharpe, Stephen R. B{sub K} in staggered chiral perturbation theory. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.014003.
Water, Ruth S. van de, & Sharpe, Stephen R. B{sub K} in staggered chiral perturbation theory. United States. doi:10.1103/PhysRevD.73.014003.
Water, Ruth S. van de, and Sharpe, Stephen R. Sun . "B{sub K} in staggered chiral perturbation theory". United States. doi:10.1103/PhysRevD.73.014003.
@article{osti_20774588,
title = {B{sub K} in staggered chiral perturbation theory},
author = {Water, Ruth S. van de and Sharpe, Stephen R.},
abstractNote = {We calculate the kaon B parameter, B{sub K}, to next-to-leading order in staggered chiral perturbation theory. We find expressions for partially quenched QCD with three sea quarks, quenched QCD, and full QCD with m{sub u}=m{sub d}{ne}m{sub s}. We extend the usual power counting to include the effects of using perturbative (rather than nonperturbative) matching factors. Taste breaking enters through the O(a{sup 2}) terms in the effective action, through O(a{sup 2}) terms from the discretization of operators, and through the truncation of matching factors. These effects cause mixing with several additional operators, complicating the chiral and continuum extrapolations. In addition to the staggered expressions, we present B{sub K} at next-to-leading order in continuum PQ{chi}PT for N{sub f}=3 sea quarks with m{sub u}=m{sub d}{ne}m{sub s}.},
doi = {10.1103/PhysRevD.73.014003},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}
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