Tests of Factorization and SU(3) Relations in B Decays into Heavy-Light Final States

Dec, 2010
12 pages
Published in:
  • Phys.Rev.D 83 (2011) 014017
e-Print:
Report number:
  • NIKHEF-2010-048

Citations per year

2011201420172020202302468101214
Abstract: (arXiv)
Using data from the B factories and the Tevatron, we perform tests of how well non-leptonic B decays of the kind B -> D^{(*)}_{(s)} P, where P is a pion or kaon, are described within the factorization framework. We find that factorization works well - as is theoretically expected - for color-allowed, tree-diagram-like topologies. Moreover, also exchange topologies, which have a non-factorizable character, do not show any anomalous behavior. We discuss also isospin triangles between the B -> D^{(*)} pi decay amplitudes, and determine the corresponding amplitudes in the complex plane, which show a significant enhancement of the color-suppressed tree contribution with respect to the factorization picture. Using data for B -> D^{(*)} K decays, we determine SU(3)-breaking effects and cannot resolve any non-factorizable SU(3)-breaking corrections larger than \sim 5%. In view of these results, we point out that a comparison between the \bar B^0_d -> D^+\pi^- and \bar B^0_s -> D_s^+\pi^- decays offers an interesting new determination of f_d/f_s. Using CDF data, we obtain the most precise value of this ratio at CDF, and discuss the prospects for a corresponding measurement at LHCb.
Note:
  • 12 pages, 6 figures, matches published version in Physical Review D
  • 11.30.Hv
  • 12.39.St
  • 13.25.Hw
  • Non-leptonic B decays
  • factorization
  • SU(3) flavor symmetry
  • fragmentation function
  • B: decay
  • quantum chromodynamics: factorization
  • CDF