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

Consistent analysis of the B → π transition form factor in the whole physical region In this paper, we show that the B → π transition form factor can be calculated by using the different approach in the different q 2 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 Ψ p and we find that its contribution is less than the leading twist contribution. Both the two wave functions Ψ B 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

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

Physical Review D , Volume 71 (3) – Feb 1, 2005
9 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2005 The American Physical Society
ISSN
1550-2368
DOI
10.1103/PhysRevD.71.034018
Publisher site
See Article on Publisher Site

Abstract

In this paper, we show that the B → π transition form factor can be calculated by using the different approach in the different q 2 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 Ψ p and we find that its contribution is less than the leading twist contribution. Both the two wave functions Ψ B 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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Feb 1, 2005

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