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A proof of factorization for B -> D pi

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arxiv hep-ph/0107002 v2 pith:FRL74TDO submitted 2001-07-02 hep-ph hep-ex

classification hep-phhep-ex
keywords factorpionstatealphaassumecoefficientconvolutioncorrections
verification ladder T0 review T1 audit T2 compute T3 formal

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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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  1. Towards a Global Analysis of the $b\to c\bar{u} q$ Puzzle

    hep-ph 2024-11 conditional novelty 8.0 of 10

    New three-particle QCD kernels for the full Weak Effective Theory basis plus a first six-coupling global fit show that the b to c u q puzzle favors four-operator new-physics models over six-operator ones.

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