A proof of factorization for B -> D pi

Details A proof of factorization for B -> D pi A proof of factorization for B -> D pi

2001-07-02

arxiv.org/abs/hep-ph/0107002v2

Phys.Rev.Lett. 87 (2001) 201806

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 3 figs, PRL version

Scientific paper

10.1103/PhysRevLett.87.201806

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.

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