Two-loop non-leptonic penguin amplitude in QCD factorization

Abstract

We complete the calculation of the QCD penguin amplitude at next-to-next-to-leading order in the QCD factorization approach to non-leptonic B-meson decays. This provides the last missing piece in the computation of the QCD correction to direct CP asymmetries at leading power in the heavy-quark expansion.

arXiv comment45 pages, 9 figures, 6 tables. Expressions for the 2-loop hard-scattering kernels before and after the convolution with the light-meson LCDA are attached in electronic form to the source of the present submission

References in corpus (30)

• Weak Decays Beyond Leading Logarithms
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Harmonic Polylogarithms
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Algorithm FIRE -- Feynman Integral REduction
• Numerical evaluation of multiple polylogarithms
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Automatized analytic continuation of Mellin-Barnes integrals
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops
• |Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• Spectator scattering at NLO in non-leptonic B decays: Tree amplitudes
• Two-Loop QCD Corrections to the Heavy-to-Light Quark Decay
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Fermionic Corrections to the Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region
• Two-loop current-current operator contribution to the non-leptonic QCD penguin amplitude
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Hard spectator interactions in B to pi pi at order alpha_s^2
• NNLO corrections to B --> X_u l nu in the shape-function region
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Radiative corrections to hard spectator scattering in $B\to \pi \pi$ decays
• On a two-loop crossed six-line master integral with two massive lines
• Order alpha_s^2 magnetic penguin correction for B decay to light mesons

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• Quintessential Inflation with Dynamical Higgs Generation as an Affine Gravity
• Dynamically Generated Inflationary Lambda-CDM
• The PQCD approach towards to next-to-leading order: a short review
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• Measurement of branching fractions and direct $CP$ asymmetries for $B\to K\pi$ and $B\to \pi \pi$ decays at Belle II
• Collider-Flavour Complementarity from the bottom to the top
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Invisible and Semi-invisible Decays of Bottom Baryons
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