NNLO vertex corrections in charmless hadronic B decays: Real part

2009/02/11 by Guido Bell · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Combinatorics #Factorization #Graph #Hadron #High-Energy Particle Collisions Research #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Tree (set theory) #Vertex (graph theory) #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2009.07.012

published as Nucl.Phys.B822:172-200,2009 · 30 pages, 5 figures

arxiv created 2009/02/11 · openalex publication_date 2009/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute the real part of the 2-loop vertex corrections for charmless hadronic B decays, completing the NNLO calculation of the topological tree amplitudes in QCD factorization. Among the technical aspects we show that the hard-scattering kernels are free of soft and collinear infrared divergences at the 2-loop level, which follows after an intricate subtraction procedure involving evanescent four quark operators. The numerical impact of the considered corrections is found to be moderate, whereas the factorization scale dependence of the topological tree amplitudes is significantly reduced at NNLO. We in particular do not find an enhancement of the phenomenologically important ratio |C/T| from the perturbative calculation.

Citations

• Next-to-next-to-leading order corrections toB¯→Xuℓν¯in the shape-function region
• Penguin Loops for Nonleptonic B-Decays in the Standard Model: Is there a Penguin Puzzle?
• Higher order QCD corrections in exclusive charmless B decays
• An effective field theory for collinear and soft gluons: Heavy to light decays
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• NNLO vertex corrections in charmless hadronic B decays: Imaginary part
• QCD factorization in B→πK, ππ decays and extraction of Wolfenstein parameters
• QCD Factorization forB→ππDecays: Strong Phases andCPViolation in the Heavy Quark Limit
• QCD factorization for exclusive non-leptonic B-meson decays: general arguments and the case of heavy–light final states
• Phenomenology ofB→ππ,πKdecays atO(αs2β0)in QCD factorization
• Harmonic Polylogarithms

Cited by

• CPasymmetries inB→Kπ,K*π,ρKdecays
• B_d,s → D^*_d,s V B ¯ d , s → D d , s ∗ V and B_d,s^* → D_d,s V B ¯ d , s ∗ → D d , s V decays in QCD factorization and possible puzzles
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes