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, John W Laiho, L. Levkova, P. B. MacKenzie, E. T. Neil, M. B. Oktay, J. N. SimoneR. Sugar, D. Toussaint, R. S. Van De Water

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Abstract

We study SU(3)-breaking effects in the neutral B d-B ̄d and B s-B ̄s systems with unquenched N f=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=f Bs√B Bsf Bd√B Bd=1.268±0.063. We also present results for the ratio of bag parameters B BsB Bd and the ratio of Cabibbo-Kobayashi- Maskawa matrix elements |V td|/|V ts|. 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 ΔM d,s and ΔΓ d,s in the standard model and beyond.

Original languageEnglish (US)
Article number034503
JournalPhysical Review D
Volume86
Issue number3
DOIs
StatePublished - Aug 14 2012
Externally publishedYes

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Bazavov, A., Bernard, C., Bouchard, C. M., Detar, C., Di Pierro, M., El-Khadra, A. X., Evans, R. T., Freeland, E. D., Gámiz, E., Gottlieb, S., Heller, U. M., Hetrick, J. E., Jain, R., Kronfeld, A. S., Laiho, J. W., Levkova, L., MacKenzie, P. B., Neil, E. T., Oktay, M. B., ... Van De Water, R. S. (2012). Neutral B-meson mixing from three-flavor lattice quantum chromodynamics: Determination of the SU(3)-breaking ratio ξ. Physical Review D, 86(3), [034503]. https://doi.org/10.1103/PhysRevD.86.034503