Perturbative QCD factorization of $πγ^*\to γ(π)$ and $B\to γ(π)l\bar ν$

Details Perturbative QCD factorization of $πγ^*\to γ(π)$ and $B\to γ(π)l\bar ν$ Perturbative QCD factorization of $πγ^*\to γ(π)$ and $B\to γ(π)l\bar ν$

2000-12-13

arxiv.org/abs/hep-ph/0012140v2

Phys.Rev. D64 (2001) 014019

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages in Latex file, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.64.014019

We prove factorization theorem for the processes $\pi\gamma^*\to\gamma$ and $\pi\gamma^*\to\pi$ to leading twist in the covariant gauge by means of the Ward identity. Soft divergences cancel and collinear divergences are grouped into a pion wave function defined by a nonlocal matrix element. The gauge invariance and universality of the pion wave function are confirmed. The proof is then extended to the exclusive $B$ meson decays $B\to\gamma l\bar\nu$ and $B\to\pi l\bar\nu$ in the heavy quark limit. It is shown that a light-cone $B$ meson wave function, though absorbing soft dynamics, can be defined in an appropriate frame. Factorization of the $B\to\pi l\bar\nu$ decay in $k_T$ space, $k_T$ being parton transverse momenta, is briefly discussed. We comment on the extraction of the leading-twist pion wave function from experimental data.

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