2004/12/31 by Tao Huang, Xing-Gang Wu
Mathematics · Physics and Astronomy · #Form factor (electronics) #Geometry #High-Energy Particle Collisions Research #Lattice QCD #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Recoil #Singularity #Twist #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevd.71.034018
published as Phys.Rev. D71 (2005) 034018 · 18pages, 6 figures
arxiv created 2005/01/31 · openalex publication_date 2005/02/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we show that the B\ensuremath→\ensuremathπ 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\ensuremath→\ensuremathπ 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 \ensuremathΨp and we find that its contribution is less than the leading twist contribution. Both the two wave functions \ensuremathΨB and \ensuremathΨB of the B meson can give sizable contributions to the B\ensuremath→\ensuremathπ 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.