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

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.

arXiv comment13 pages, 2 figures. Sign convention modified for consistency with hep-ph/0401188

References in corpus (24)

• Weak Decays Beyond Leading Logarithms
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Invariant Operators in Collinear Effective Theory
• Fat penguins and imaginary penguins in perturbative QCD
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Decays of $B$ Mesons to Two Light Pseudoscalars
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• B -> M1 M2: Factorization, Charming Penguins, Strong Phases, and Polarization
• Multipole-expanded soft-collinear effective theory with non-abelian gauge symmetry
• Factorization and Endpoint Singularities in Heavy-to-Light decays
• Charming Penguins in B decays
• The B Meson Decay Constant from Unquenched Lattice QCD
• Polarization in B->VV Decays
• Spectator Interactions in Soft-Collinear Effective Theory
• Strong Phases and Factorization for Color Suppressed Decays
• Annihilation, Rescattering, and CP Asymmetries in B Meson Decays
• Factorization of B decays into two light mesons in soft-collinear effective theory
• Annihilation effects in $B\to \pi \pi$ from QCD Light-Cone Sum Rules
• Subleading collinear operators and their matrix elements

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• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• Possible complex annihilation and B -> K pi direct CP asymmetry
• Three-parton contribution to pion form factor in kT factorization
• Three-parton contribution to the $B\to \pi$ form factors in $k_T$ factorization