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Three-Parton Contributions to B --> M_1 M_2 Annihilation at Leading Order

Christian M. Arnesen·Ira Z. Rothstein·Iain W. Stewart
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Abstract

We compute annihilation amplitudes for charmless B decays that are proportional to the three-parton twist-3 light meson distribution amplitude phi_{3M}(x1,x2) with an active gluon. Due to an enhancement from a quark propagator at the scale p^2 ~ mbΛ_QCD these terms occur at the same parametric order in alpha_s(mb) and 1/mb as the known leading order annihilation involving fB and twist-2 meson distributions. With our calculation the leading order annihilation amplitude is now complete. At lowest order in alpha_s the amplitudes are real and only O_{5-8} contribute. Using simple models we find that the three-parton and two-parton terms are of comparable size.

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Christian M. Arnesen, Ira Z. Rothstein, Iain W. Stewart. 2007-09-23. Three-Parton Contributions to B --> M_1 M_2 Annihilation at Leading Order. https://doi.org/10.1016/j.physletb.2007.02.041%2010.1016%2Fj.physletb.2007.07.052

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