2010
DOI: 10.1016/j.nuclphysb.2010.02.002
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NNLO vertex corrections to non-leptonic B decays: Tree amplitudes

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 ππ, πρ and ρρ final states that do not depend (sig… Show more

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Cited by 113 publications
(189 citation statements)
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“…At O(α s ) the coefficients a i also acquire perturbative strong phases [3,30,31]. These can be included using the partial QCD factorization formalism discussed in ref.…”
Section: Jhep10(2017)117mentioning
confidence: 99%
“…At O(α s ) the coefficients a i also acquire perturbative strong phases [3,30,31]. These can be included using the partial QCD factorization formalism discussed in ref.…”
Section: Jhep10(2017)117mentioning
confidence: 99%
“…The first reports λ B > 669 MeV (591 MeV) (depending on the treatment of priors), while the second, published analysis concludes the significantly weaker limit λ B > 300 MeV. The first result would be rather troublesome for non-leptonic B decay phenomenology, which needs λ B ≈ 200 MeV to achieve a satisfactory description of colorsuppressed decay modes [12][13][14].…”
Section: Introductionmentioning
confidence: 99%
“…The second uncertainty from the renormalization scale could, in principle, be reduced by the inclusion of higher order α s corrections to hadronic matrix elements, for example, it has been showed [54,55] that tree amplitudes incorporating with the NNLO vertex corrections are relatively less sensitive to the choice of scale than the NLO amplitudes. The largest uncertainty (the fourth uncertainty), ∼ 40%, comes from the transition form factors, which is expected to be cancelled from the relative ratio of branching ratios, such as,…”
Section: Numerical Results and Discussionmentioning
confidence: 99%