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arXiv · hep-ph/0107002

A proof of factorization for B -> D pi

Christian W. Bauer·Dan Pirjol·Iain W. Stewart
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Abstract

We prove that the matrix elements of four fermion operators mediating the decay B^0 -> D^+ π^- and B^- -> D^0 π^- 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.

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Christian W. Bauer, Dan Pirjol, Iain W. Stewart. 2001-11-09. A proof of factorization for B -> D pi. https://doi.org/10.1103/physrevlett.87.201806

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