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Physical results from 2+1 flavor domain wall QCD and SU(2) chiral perturbation theory

Physical results from 2+1 flavor domain wall QCD and SU(2) chiral perturbation theory
Physical results from 2+1 flavor domain wall QCD and SU(2) chiral perturbation theory
We have simulated QCD using 2+1 flavors of domain wall quarks on a (2.74fm)3 volume with an inverse lattice scale of a?1=1.729(28) GeV. The up and down (light) quarks are degenerate in our calculations and we have used four values for the ratio of light quark masses to the strange (heavy) quark mass in our simulations: 0.217, 0.350, 0.617 and 0.884. We have measured pseudoscalar meson masses and decay constants, the kaon bag parameter BK and vector meson couplings. We have used SU(2) chiral perturbation theory, which assumes only the up and down quark masses are small, and SU(3) chiral perturbation theory to extrapolate to the physical values for the light quark masses. While next-to-leading order formulae from both approaches fit our data for light quarks, we find the higher order corrections for SU(3) very large, making such fits unreliable. We also find that SU(3) does not fit our data when the quark masses are near the physical strange quark mass. Thus, we rely on SU(2) chiral perturbation theory for accurate results. We use the masses of the ? baryon, and the ? and K mesons to set the lattice scale and determine the quark masses. We then find f?=124.1(3.6)stat(6.9)systMeV, fK=149.6(3.6)stat(6.3)systMeV and fK/f?=1.205(0.018)stat(0.062)syst. Using non-perturbative renormalization to relate lattice regularized quark masses to RI-MOM masses, and perturbation theory to relate these to MS¯ we find mMS¯ud(2GeV)=3.72(0.16)stat(0.33)ren(0.18)systMeV and mMS¯s(2GeV)=107.3(4.4)stat(9.7)ren(4.9)systMeV.
1550-7998
Allton, C.
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Antonio, D.J.
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Aoki, Y.
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Blum, T.
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Boyle, P.A.
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Christ, N.H.
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Cohen, S.D.
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Clark, M.A.
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Dawson, C.
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Donnellan, M.A.
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Flynn, J.M.
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Hart, A.
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Izubuchi, T.
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Juttner, A.
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Jung, C.
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Kennedy, A.D.
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Kenway, R.D.
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Li, M.
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Li, S.
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Lin, M.F.
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Mawhinney, R.D.
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Maynard, C.M.
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Ohta, S.
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Pendleton, B.J.
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Sachrajda, C.T.
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Sasaki, S.
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Scholz, E.E.
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Soni, A.
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Tweedie, R.J.
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Wennekers, J.
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Yamazaki, T.
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Zanotti, J.M.
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RBC Collaboration
Allton, C.
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Antonio, D.J.
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Aoki, Y.
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Blum, T.
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Boyle, P.A.
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Christ, N.H.
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Cohen, S.D.
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Clark, M.A.
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Dawson, C.
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Donnellan, M.A.
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Flynn, J.M.
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Hart, A.
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Izubuchi, T.
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Juttner, A.
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Jung, C.
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Kennedy, A.D.
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Kenway, R.D.
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Li, M.
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Li, S.
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Lin, M.F.
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Mawhinney, R.D.
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Maynard, C.M.
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Ohta, S.
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Pendleton, B.J.
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Sachrajda, C.T.
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Sasaki, S.
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Scholz, E.E.
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Soni, A.
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Tweedie, R.J.
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Wennekers, J.
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Yamazaki, T.
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Zanotti, J.M.
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Allton, C., Antonio, D.J., Aoki, Y., Blum, T., Boyle, P.A., Christ, N.H., Cohen, S.D., Clark, M.A., Dawson, C., Donnellan, M.A., Flynn, J.M., Hart, A., Izubuchi, T., Juttner, A., Jung, C., Kennedy, A.D., Kenway, R.D., Li, M., Li, S., Lin, M.F., Mawhinney, R.D., Maynard, C.M., Ohta, S., Pendleton, B.J., Sachrajda, C.T., Sasaki, S., Scholz, E.E., Soni, A., Tweedie, R.J., Wennekers, J., Yamazaki, T. and Zanotti, J.M. , RBC Collaboration (2008) Physical results from 2+1 flavor domain wall QCD and SU(2) chiral perturbation theory. Physical Review D, 78 (11). (doi:10.1103/PhysRevD.78.114509).

Record type: Article

Abstract

We have simulated QCD using 2+1 flavors of domain wall quarks on a (2.74fm)3 volume with an inverse lattice scale of a?1=1.729(28) GeV. The up and down (light) quarks are degenerate in our calculations and we have used four values for the ratio of light quark masses to the strange (heavy) quark mass in our simulations: 0.217, 0.350, 0.617 and 0.884. We have measured pseudoscalar meson masses and decay constants, the kaon bag parameter BK and vector meson couplings. We have used SU(2) chiral perturbation theory, which assumes only the up and down quark masses are small, and SU(3) chiral perturbation theory to extrapolate to the physical values for the light quark masses. While next-to-leading order formulae from both approaches fit our data for light quarks, we find the higher order corrections for SU(3) very large, making such fits unreliable. We also find that SU(3) does not fit our data when the quark masses are near the physical strange quark mass. Thus, we rely on SU(2) chiral perturbation theory for accurate results. We use the masses of the ? baryon, and the ? and K mesons to set the lattice scale and determine the quark masses. We then find f?=124.1(3.6)stat(6.9)systMeV, fK=149.6(3.6)stat(6.3)systMeV and fK/f?=1.205(0.018)stat(0.062)syst. Using non-perturbative renormalization to relate lattice regularized quark masses to RI-MOM masses, and perturbation theory to relate these to MS¯ we find mMS¯ud(2GeV)=3.72(0.16)stat(0.33)ren(0.18)systMeV and mMS¯s(2GeV)=107.3(4.4)stat(9.7)ren(4.9)systMeV.

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More information

Submitted date: 3 April 2008
Published date: 30 December 2008
Organisations: High Energy Physics

Identifiers

Local EPrints ID: 144019
URI: https://eprints.soton.ac.uk/id/eprint/144019
ISSN: 1550-7998
PURE UUID: 6bbb957f-bfbe-4d50-891a-e7c566f32444
ORCID for J.M. Flynn: ORCID iD orcid.org/0000-0002-6280-1677

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Date deposited: 14 Apr 2010 11:53
Last modified: 28 Feb 2019 01:38

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Contributors

Author: C. Allton
Author: D.J. Antonio
Author: Y. Aoki
Author: T. Blum
Author: P.A. Boyle
Author: N.H. Christ
Author: S.D. Cohen
Author: M.A. Clark
Author: C. Dawson
Author: M.A. Donnellan
Author: J.M. Flynn ORCID iD
Author: A. Hart
Author: T. Izubuchi
Author: A. Juttner
Author: C. Jung
Author: A.D. Kennedy
Author: R.D. Kenway
Author: M. Li
Author: S. Li
Author: M.F. Lin
Author: R.D. Mawhinney
Author: C.M. Maynard
Author: S. Ohta
Author: B.J. Pendleton
Author: C.T. Sachrajda
Author: S. Sasaki
Author: E.E. Scholz
Author: A. Soni
Author: R.J. Tweedie
Author: J. Wennekers
Author: T. Yamazaki
Author: J.M. Zanotti

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