B s→D s/B→D semileptonic form-factor ratios and their application to BR(Bs0→μ +μ -)

Jon A. Bailey, A. Bazavov, C. Bernard, C. M. Bouchard, C. Detar, Daping Du, A. X. El-Khadra, J. Foley, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, Jongjeong Kim, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. MacKenzie, Y. Meurice, E. Neil, M. B. OktaySi Wei Qiu, J. N. Simone, R. Sugar, D. Toussaint, R. S. Van De Water, Ran Zhou

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Abstract

We calculate form-factor ratios between the semileptonic decays B ̄0→D +-ν̄ and B̄s0→Ds+ -ν̄ with lattice QCD. These ratios are a key theoretical input in a new strategy to determine the fragmentation fractions of neutral B decays, which are needed for measurements of BR(Bs0→μ +μ -). We use the MILC ensembles of gauge configurations with 2+1 flavors of sea-quarks at two s of approximately 0.12 fm and 0.09 fm. We use the model-independent z parametrization to extrapolate our simulation results at small recoil toward maximum recoil. Our results for the form-factor ratios are f0(s)(Mπ2)/f0(d)(MK2)=1.046(44) stat(15) syst and f0(s)(Mπ2)/f0(d)(Mπ2)=1.054(47) stat(17) syst. In contrast to a QCD sum-rule calculation, no significant departure from U-spin (d↔s) symmetry is observed.

Original languageEnglish (US)
Article number114502
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume85
Issue number11
DOIs
StatePublished - Jun 4 2012

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Bailey, J. A., Bazavov, A., Bernard, C., Bouchard, C. M., Detar, C., Du, D., El-Khadra, A. X., Foley, J., Freeland, E. D., Gámiz, E., Gottlieb, S., Heller, U. M., Kim, J., Kronfeld, A. S., Laiho, J., Levkova, L., MacKenzie, P. B., Meurice, Y., Neil, E., ... Zhou, R. (2012). B s→D s/B→D semileptonic form-factor ratios and their application to BR(Bs0→μ +μ -). Physical Review D - Particles, Fields, Gravitation and Cosmology, 85(11), [114502]. https://doi.org/10.1103/PhysRevD.85.114502