Neutral B-meson mixing from three-flavor lattice quantum chromodynamics: Determination of the SU(3)-breaking ratio ξ

A. Bazavov, C. Bernard, C. M. Bouchard, C. DeTar, M. Di Pierro, A. X. El-Khadra, R. T. Evans, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, J. E. Hetrick, R. Jain, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, E. T. Neil, M. B. Oktay, J. N. Simone, R. Sugar, D. Toussaint, and R. S. Van de Water (Fermilab Lattice and MILC Collaborations)
Phys. Rev. D 86, 034503 – Published 14 August 2012

Abstract

We study SU(3)-breaking effects in the neutral Bd-B¯d and Bs-B¯s systems with unquenched Nf=2+1 lattice quantum chromodynamics (QCD). We calculate the relevant matrix elements on the MILC collaboration’s gauge configurations with asqtad-improved staggered sea quarks. For the valence light-quarks (u, d, and s) we use the asqtad action, while for b quarks we use the Fermilab action. We obtain ξ=fBsBBs/fBdBBd=1.268±0.063. We also present results for the ratio of bag parameters BBs/BBd and the ratio of Cabibbo-Kobayashi-Maskawa matrix elements |Vtd|/|Vts|. Although we focus on the calculation of ξ, the strategy and techniques described here will be employed in future extended studies of the B mixing parameters ΔMd,s and ΔΓd,s in the standard model and beyond.

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  • Received 1 June 2012

DOI:https://doi.org/10.1103/PhysRevD.86.034503

© 2012 American Physical Society

Authors & Affiliations

A. Bazavov1, C. Bernard2, C. M. Bouchard3,4,5, C. DeTar6, M. Di Pierro7, A. X. El-Khadra3, R. T. Evans3,8, E. D. Freeland3,9, E. Gámiz4,10,*, Steven Gottlieb11, U. M. Heller12, J. E. Hetrick13, R. Jain3, A. S. Kronfeld4, J. Laiho14, L. Levkova6, P. B. Mackenzie4, E. T. Neil4, M. B. Oktay6, J. N. Simone4, R. Sugar15, D. Toussaint16, and R. S. Van de Water1 (Fermilab Lattice and MILC Collaborations)

  • 1Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 2Department of Physics, Washington University, St. Louis, Missouri 63130, USA
  • 3Physics Department, University of Illinois, Urbana, Illinois 61801, USA
  • 4Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
  • 5Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
  • 6Physics Department, University of Utah, Salt Lake City, Utah 84112, USA
  • 7School of Computing, DePaul University, Chicago, Illinois 60604, USA
  • 8Department of Nuclear Engineering, North Carolina State University, Raleigh, North Carolina 27695, USA
  • 9Department of Physics, Benedictine University, Lisle, Illinois 60532, USA
  • 10CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, Granada, Spain
  • 11Department of Physics, Indiana University, Bloomington, Indiana 47405, USA
  • 12American Physical Society, Ridge, New York 11961, USA
  • 13Physics Department, University of the Pacific, Stockton, California 95211, USA
  • 14SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow, Scotland, United Kingdom
  • 15Department of Physics, University of California, Santa Barbara, California 93106, USA
  • 16Department of Physics, University of Arizona, Tucson, Arizona 85721, USA

  • *megamiz@ugr.es

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Vol. 86, Iss. 3 — 1 August 2012

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