Neutral B-meson and D-meson mixing matrix elements from 2+1 flavor lattice QCD

C. Bernard, C. M. Bouchard, C. C. Chang, A. X. El-Khadra, E. D. Freelandd, E. Gámiz, A. S. Kronfeld, John W Laiho, P. B. Mackenzie, E. T. Nei, J. N. Simone, R. S. Van De Water

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We compute the hadronic matrix elements of the complete set of local four-quark operators relevant for neutral B-meson mixing in the Standard Model and beyond as well as for the the shortdistance contributions to D0 mixing. In addition we calculate the leptonic decay constants for the B-And D-meson systems on the same sets of gauge-field ensembles. Both mixing matrix elements and decay constants are computed with asqtad-improved light quarks and clover heavy quarks in the Fermilab interpretation. We use the MILC three-flavor asqtad ensembles at four lattice spacings between appoximately 0:11 fm and 0:043 fm. We present nearly final values for the mixing matrix elements, and find for the SU(3) breaking ratio ξ = 1:203(17)(6)seac . The second error accounts for the omission of charm quarks in the sea while the first error includes all other sources of uncertainty. Our result for ξ when combined with the experimentally measured frequencies gives jVtdj /Vts/ = 0:2047(4)exp(29)th(10)seac. Finally, we report on our progress towards finalizing our decay constant and bag parameter analyses.

Original languageEnglish (US)
Article number332
JournalUnknown Journal
StatePublished - 2015


ASJC Scopus subject areas

  • General

Cite this

Bernard, C., Bouchard, C. M., Chang, C. C., El-Khadra, A. X., Freelandd, E. D., Gámiz, E., Kronfeld, A. S., Laiho, J. W., Mackenzie, P. B., Nei, E. T., Simone, J. N., & Van De Water, R. S. (2015). Neutral B-meson and D-meson mixing matrix elements from 2+1 flavor lattice QCD. Unknown Journal, 14-18-July-2015, [332].