NNLO vertex corrections in charmless hadronic B decays: Imaginary part

2007/05/31 by Guido Bell · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2007.09.006

published as Nucl.Phys.B795:1-26,2008 · 28 pages, 6 figures. v2: minor changes in Section 4.3, results unchanged, version accepted for publication in Nuclear Physics B

openalex publication_date 2007/09/21 · arxiv created 2007/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the imaginary part of the 2-loop vertex corrections in the QCD factorization framework for hadronic two-body decays as B→ππ. This completes the NNLO calculation of the imaginary part of the topological tree amplitudes and represents an important step towards an NNLO prediction of direct CP asymmetries in QCD factorization. Concerning the technical aspects, we find that soft and collinear infrared divergences cancel in the hard-scattering kernels which demonstrates factorization at the 2-loop order. All results are obtained analytically including the dependence on the charm quark mass. The numerical impact of the NNLO corrections is found to be significant, in particular they lead to an enhancement of the strong phase of the colour-suppressed tree amplitude.

Citations

• Higher order QCD corrections in exclusive charmless B decays
• Differential Equations for Two-Loop Four-Point Functions
• B-meson distribution amplitude in QCD
• Harmonic Polylogarithms

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• Anatomy of the perturbative QCD approach to the baryonic decaysΛb→pπ,pK
• ResolvingB−CPpuzzles in QCD factorization