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Title: Precise determination of B{sub K} and light quark masses in quenched domain-wall QCD

Abstract

We calculate nonperturbative renormalization factors at hadronic scale for {delta}S=2 four-quark operators in quenched domain-wall QCD using the Schroedinger functional method. Combining them with the nonperturbative renormalization group running by the Alpha Collaboration, our result yields the fully nonperturbative renormalization factor, which converts the lattice bare B{sub K} to the renormalization group invariant (RGI) B-circumflex{sub K}. Applying this to the bare B{sub K} previously obtained by the CP-PACS Collaboration at a{sup -1}{approx_equal}2,3,4 GeV, we obtain B-circumflex{sub K}=0.782(5)(7) [equivalent to B{sub K}{sup MS}(NDR,2 GeV)=0.565(4)(5) by two-loop running] in the continuum limit, where the first error is statistical and the second is systematic due to the continuum extrapolation. Except the quenching error, the total error we have achieved is less than 2%, which is much smaller than the previous ones. Taking the same procedure, we obtain m{sub u,d}{sup RGI}=5.613(66) MeV and m{sub s}{sup RGI}=147.1(17) MeV [equivalent to m{sub u,d}{sup MS}(2 GeV)=4.026(48) MeV and m{sub s}{sup MS}(2 GeV)=105.6(12) MeV by four-loop running] in the continuum limit.

Authors:
 [1];  [1]; ;  [1]
  1. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571 (Japan)
Publication Date:
OSTI Identifier:
21250647
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.78.034502; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; D QUARKS; EXTRAPOLATION; GEV RANGE; HADRONS; LATTICE FIELD THEORY; MASS; MEV RANGE; PERTURBED ANGULAR CORRELATION; QUANTUM CHROMODYNAMICS; QUENCHING; RENORMALIZATION; U QUARKS

Citation Formats

Nakamura, Yousuke, Aoki, Sinya, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Taniguchi, Yusuke, Yoshie, Tomoteru, and Center for Computational Physics, University of Tsukuba, Tsukuba 305-8577. Precise determination of B{sub K} and light quark masses in quenched domain-wall QCD. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.78.034502.
Nakamura, Yousuke, Aoki, Sinya, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Taniguchi, Yusuke, Yoshie, Tomoteru, & Center for Computational Physics, University of Tsukuba, Tsukuba 305-8577. Precise determination of B{sub K} and light quark masses in quenched domain-wall QCD. United States. https://doi.org/10.1103/PHYSREVD.78.034502
Nakamura, Yousuke, Aoki, Sinya, RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, Taniguchi, Yusuke, Yoshie, Tomoteru, and Center for Computational Physics, University of Tsukuba, Tsukuba 305-8577. Fri . "Precise determination of B{sub K} and light quark masses in quenched domain-wall QCD". United States. https://doi.org/10.1103/PHYSREVD.78.034502.
@article{osti_21250647,
title = {Precise determination of B{sub K} and light quark masses in quenched domain-wall QCD},
author = {Nakamura, Yousuke and Aoki, Sinya and RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 and Taniguchi, Yusuke and Yoshie, Tomoteru and Center for Computational Physics, University of Tsukuba, Tsukuba 305-8577},
abstractNote = {We calculate nonperturbative renormalization factors at hadronic scale for {delta}S=2 four-quark operators in quenched domain-wall QCD using the Schroedinger functional method. Combining them with the nonperturbative renormalization group running by the Alpha Collaboration, our result yields the fully nonperturbative renormalization factor, which converts the lattice bare B{sub K} to the renormalization group invariant (RGI) B-circumflex{sub K}. Applying this to the bare B{sub K} previously obtained by the CP-PACS Collaboration at a{sup -1}{approx_equal}2,3,4 GeV, we obtain B-circumflex{sub K}=0.782(5)(7) [equivalent to B{sub K}{sup MS}(NDR,2 GeV)=0.565(4)(5) by two-loop running] in the continuum limit, where the first error is statistical and the second is systematic due to the continuum extrapolation. Except the quenching error, the total error we have achieved is less than 2%, which is much smaller than the previous ones. Taking the same procedure, we obtain m{sub u,d}{sup RGI}=5.613(66) MeV and m{sub s}{sup RGI}=147.1(17) MeV [equivalent to m{sub u,d}{sup MS}(2 GeV)=4.026(48) MeV and m{sub s}{sup MS}(2 GeV)=105.6(12) MeV by four-loop running] in the continuum limit.},
doi = {10.1103/PHYSREVD.78.034502},
url = {https://www.osti.gov/biblio/21250647}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 3,
volume = 78,
place = {United States},
year = {2008},
month = {8}
}