Model-independent description of B ---> pi l nu decays and a determination of |V(ub)|

Jul, 2008
15 pages
Published in:
  • Phys.Rev.D 79 (2009) 013008,
  • Phys.Rev.D 82 (2010) 099902 (erratum)
e-Print:
Report number:
  • CPT-P36-2007

Citations per year

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Abstract: (arXiv)
We propose a new parametrization of the BπB\to\pi vector form factor, f+(q2)f_+(q^2), as an expansion in powers of a conformal mapping variable, which satisfies unitarity, analyticity and perturbative QCD scaling. The unitarity constraint is used also for defining the systematic error of the expansion. We fit with the new parametrization the available experimental and theoretical information on exclusive BπlνB\to\pi l\nu decays, making a conservative estimate of the effects of correlations in the systematic and statistical errors of the lattice results. With four parameters to describe f+(q2)f_+(q^2), the systematic error is negligible in the whole semileptonic region. We also obtain Vub=(3.54±0.30)×103|V_{ub}|=(3.54 \pm 0.30) \times 10^{-3} where, in our approach, the uncertainty is predominantly statistical.
  • 12.15.Hh
  • 13.20.He
  • B: semileptonic decay
  • decay: form factor
  • form factor: vector
  • parametrization
  • analytic properties
  • Kobayashi-Maskawa model: (beauty n p)
  • error
  • numerical calculations