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Consistent analysis of the B→π transition form factor in the whole physical region

Huang Tao1,2,* and Wu Xing-Gang2,†

  • 1CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China
  • 2Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918(4), Beijing 100049, China

  • *Email: huangtao@mail.ihep.ac.cn
  • †Email: wuxg@mail.ihep.ac.cn
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Phys. Rev. D 71, 034018 – Published 22 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.034018

Abstract

In this paper, we show that the B→π transition form factor can be calculated by using the different approach in the different q2 regions and they are consistent with each other in the whole physical region. For the B→π transition form factor in the large recoil regions, one can apply the perturbative quantum chromodynamics (PQCD) approach, where the transverse momentum dependence for both the hard-scattering part and the nonperturbative wave function, the Sudakov effects and the threshold effects are included to regulate the endpoint singularity and to derive a more reliable PQCD result. Pionic twist-3 contributions are carefully studied with a better endpoint behavior wave function for Ψp and we find that its contribution is less than the leading twist contribution. Both the two wave functions ΨB and Ψ¯B of the B meson can give sizable contributions to the B→π transition form factor and should be kept for a better understanding of the B decays. The present obtained PQCD results can match with both the QCD light cone sum rule results and the extrapolated lattice QCD results in the large recoil regions.

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Phys. Rev. D 71, 034018– Published 22 February, 2005
  • Received 30 December 2004

© 2005 American Physical Society

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