A proof of factorization for B -> D pi
High Energy Physics - Phenomenology
2009-11-07 v2 High Energy Physics - Experiment
Abstract
We prove that the matrix elements of four fermion operators mediating the decay B^0 -> D^+ \pi^- and B^- -> D^0 \pi^- factor into the product of a form factor describing the B -> D transition and a convolution of a short distance coefficient with the nonperturbative pion light-cone wave function. This is shown to all orders in alpha_s, up to corrections suppressed by factors of 1/mb, 1/mc, and 1/E_pi. It is not necessary to assume that the pion state is dominated by the q-qbar Fock state.
Cite
@article{arxiv.hep-ph/0107002,
title = {A proof of factorization for B -> D pi},
author = {Christian W. Bauer and Dan Pirjol and Iain W. Stewart},
journal= {arXiv preprint arXiv:hep-ph/0107002},
year = {2009}
}
Comments
4 pages, 3 figs, PRL version