NNLO vertex corrections to non-leptonic B decays: Tree amplitudes

2009/11/18 by Μ. Beneke, M. Beneke, T. Huber +2 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Amplitude #Combinatorics #Graph #Mathematics #Particle Accelerators and Free-Electron Lasers #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Tree (set theory) #Vertex (graph theory) #hep-ex #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2010.02.002

published as Nucl.Phys.B832:109-151,2010 · 52 pages, 8 figures, 3 tables. Equations (42) and (84) are contained in electronic form in the source file of the present submission

arxiv created 2009/11/18 · openalex publication_date 2010/02/09 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The colour-suppressed tree amplitude in non-leptonic B decays is particularly sensitive to perturbative and non-perturbative corrections. We calculate the two-loop (NNLO) vertex corrections to the colour-suppressed and colour-allowed tree amplitudes in QCD factorization. Our results are given completely analytically, including the full dependence on the charm quark mass. We then update theoretical predictions for a range of interesting observables derived from pi pi, pi rho, and rho rho final states that do not depend (significantly) on penguin contributions, and hence are now available with NNLO accuracy. We observe good agreement with experimental data within experimental and theoretical errors, except for observables involving the pi⁰ pi⁰ branching fraction.

Citations

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Cited by

• Radiative leptonic decay B → γℓνℓ with subleading power corrections
• Study of the weak annihilation contributions in charmless \varvecB_s→ VV B s → V V decays
• CP violation in multibody B decays from QCD factorization