Abstract
Using QCD sum rules for a two-point function involving beauty vector currents, together with current algebra-PCAC sum rules, we estimate the hadronic matrix element in\(B \to \pi l\bar v_l \). We find\(\Gamma \left( {\bar {\rm B}^0 \to \pi ^ + l\bar v_l } \right) = \left( {1.45 \pm 0.59} \right) \times 10^{13} \left| {V_{bu} } \right|^2 s^{ - 1} \). As a byproduct, the vector current contribution to the decay\(B \to \rho l\bar v_l \) is also estimated.
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Dominguez, C.A., Paver, N. QCD calculation of\(B \to \pi l\bar v_l \) and the matrix element |V bu|. Z. Phys. C - Particles and Fields 41, 217–221 (1988). https://doi.org/10.1007/BF01566919
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DOI: https://doi.org/10.1007/BF01566919