skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b quarks

Abstract

We demonstrate a method for calculating the neutral B-meson decay constants and mixing matrix elements in unquenched lattice QCD with domain-wall light quarks and static b-quarks. Our computation is performed on the '2+1' flavor gauge configurations generated by the RBC and UKQCD Collaborations with a lattice spacing of a{approx_equal}0.11 fm (a{sup -1}=1.729 GeV) and a lattice spatial volume of approximately (1.8 fm){sup 3}. We simulate at three different light sea quark masses with pion masses down to approximately 430 MeV, and extrapolate to the physical quark masses using a phenomenologically-motivated fit function based on next-to-leading order heavy-light meson SU(2) chiral perturbation theory. For the b-quarks, we use an improved formulation of the Eichten-Hill action with static link-smearing to increase the signal-to-noise ratio. We also improve the heavy-light axial current used to compute the B-meson decay constant to O({alpha}{sub s}pa) using one-loop lattice perturbation theory. We present initial results for the SU(3)-breaking ratios f{sub B{sub s}}/f{sub B{sub d}} and {xi}=f{sub B{sub s{radical}}}(B{sub B{sub s}})/f{sub B{sub d{radical}}}(B{sub B{sub d}}), thereby demonstrating the viability of the method. For the ratio of decay constants, we find f{sub B{sub s}}/f{sub B{sub d}}=1.15(12) and for the ratio of mixing matrix elements, we find {xi}=1.13(12), where inmore » both cases the errors reflect the combined statistical and systematic uncertainties, including an estimate of the size of neglected O(1/m{sub b}) effects.« less

Authors:
; ;  [1]; ;  [2]; ;  [3]; ; ;  [4];  [2]; ; ;  [5]
  1. School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ (United Kingdom)
  2. RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
  3. SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
  4. Physics Department, Columbia University, New York, New York 10027 (United States)
  5. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
Publication Date:
OSTI Identifier:
21410050
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 82; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.82.014505; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B NEUTRAL MESONS; B QUARKS; CHIRALITY; COMPUTERIZED SIMULATION; D QUARKS; FLAVOR MODEL; GEV RANGE 01-10; MASS; MATRIX ELEMENTS; MEV RANGE 100-1000; MIXING; PARTICLE DECAY; PERTURBATION THEORY; PIONS; QUANTUM CHROMODYNAMICS; SIGNAL-TO-NOISE RATIO; U QUARKS; B MESONS; BEAUTY MESONS; BEAUTY PARTICLES; BOSONS; COMPOSITE MODELS; DECAY; DIMENSIONLESS NUMBERS; ELEMENTARY PARTICLES; ENERGY RANGE; FERMIONS; FIELD THEORIES; GEV RANGE; HADRONS; MATHEMATICAL MODELS; MESONS; MEV RANGE; PARTICLE MODELS; PARTICLE PROPERTIES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; QUARK MODEL; QUARKS; SIMULATION

Citation Formats

Albertus, C, Flynn, J M, Sachrajda, C T, Aoki, Y, Ishikawa, T, Boyle, P A, Wennekers, J, Christ, N H, Dumitrescu, T T, Loktik, O, Izubuchi, T, Physics Department, Brookhaven National Laboratory, Upton, New York 11973, Soni, A, Van de Water, R S, and Witzel, O. Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b quarks. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.014505.
Albertus, C, Flynn, J M, Sachrajda, C T, Aoki, Y, Ishikawa, T, Boyle, P A, Wennekers, J, Christ, N H, Dumitrescu, T T, Loktik, O, Izubuchi, T, Physics Department, Brookhaven National Laboratory, Upton, New York 11973, Soni, A, Van de Water, R S, & Witzel, O. Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b quarks. United States. https://doi.org/10.1103/PHYSREVD.82.014505
Albertus, C, Flynn, J M, Sachrajda, C T, Aoki, Y, Ishikawa, T, Boyle, P A, Wennekers, J, Christ, N H, Dumitrescu, T T, Loktik, O, Izubuchi, T, Physics Department, Brookhaven National Laboratory, Upton, New York 11973, Soni, A, Van de Water, R S, and Witzel, O. 2010. "Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b quarks". United States. https://doi.org/10.1103/PHYSREVD.82.014505.
@article{osti_21410050,
title = {Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b quarks},
author = {Albertus, C and Flynn, J M and Sachrajda, C T and Aoki, Y and Ishikawa, T and Boyle, P A and Wennekers, J and Christ, N H and Dumitrescu, T T and Loktik, O and Izubuchi, T and Physics Department, Brookhaven National Laboratory, Upton, New York 11973 and Soni, A and Van de Water, R S and Witzel, O},
abstractNote = {We demonstrate a method for calculating the neutral B-meson decay constants and mixing matrix elements in unquenched lattice QCD with domain-wall light quarks and static b-quarks. Our computation is performed on the '2+1' flavor gauge configurations generated by the RBC and UKQCD Collaborations with a lattice spacing of a{approx_equal}0.11 fm (a{sup -1}=1.729 GeV) and a lattice spatial volume of approximately (1.8 fm){sup 3}. We simulate at three different light sea quark masses with pion masses down to approximately 430 MeV, and extrapolate to the physical quark masses using a phenomenologically-motivated fit function based on next-to-leading order heavy-light meson SU(2) chiral perturbation theory. For the b-quarks, we use an improved formulation of the Eichten-Hill action with static link-smearing to increase the signal-to-noise ratio. We also improve the heavy-light axial current used to compute the B-meson decay constant to O({alpha}{sub s}pa) using one-loop lattice perturbation theory. We present initial results for the SU(3)-breaking ratios f{sub B{sub s}}/f{sub B{sub d}} and {xi}=f{sub B{sub s{radical}}}(B{sub B{sub s}})/f{sub B{sub d{radical}}}(B{sub B{sub d}}), thereby demonstrating the viability of the method. For the ratio of decay constants, we find f{sub B{sub s}}/f{sub B{sub d}}=1.15(12) and for the ratio of mixing matrix elements, we find {xi}=1.13(12), where in both cases the errors reflect the combined statistical and systematic uncertainties, including an estimate of the size of neglected O(1/m{sub b}) effects.},
doi = {10.1103/PHYSREVD.82.014505},
url = {https://www.osti.gov/biblio/21410050}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 82,
place = {United States},
year = {Thu Jul 01 00:00:00 EDT 2010},
month = {Thu Jul 01 00:00:00 EDT 2010}
}