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 »
- Authors:
-
- School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ (United Kingdom)
- RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
- SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
- Physics Department, Columbia University, New York, New York 10027 (United States)
- 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}
}