B to light meson transition form factors calculated in perturbative QCD approach

Details B to light meson transition form factors calculated in perturbative QCD approach B to light meson transition form factors calculated in perturbative QCD approach

2002-12-26

arxiv.org/abs/hep-ph/0212373v2

Eur.Phys.J. C28 (2003) 515-523

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, with 2 figures

Scientific paper

10.1140/epjc/s2003-01199-y

We calculate the $B\to P$, $B\to V$ (P: light pseudoscalar meson, V light vector meson) form factors in the large-recoil limit in perturbative QCD approach, including both the vector (axial vector) and tensor operators. In general there are two leading components $\phi_B$ and $\bar{\phi}_B$ for $B$ meson wave functions. We consider both contributions of them. Sudakov effects ($k_{\perp}$ and threshold resummation) are included to regulate the soft end-point singularity. By choosing the hard scale as the maximum virtualities of internal particles in the hard $b$-quark decay amplitudes, Sudakov factors can effectively suppress the long-distance soft contribution. Hard contribution can be dominant in these approaches.

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