Decay b -> (c\bar{c}) s in the leading logarithm approximation

Abstract

We consider an effective field theory for the nonleptonic decay in which a heavy quark decays into a pair of a heavy quark and antiquark having a small relative velocity and one relativistic (massless) quark. This effective theory is a combination of HQET, SCET, and a covariant modification of NRQCD. In the leading logarithm approximation the effective theory decay amplitude factorizes into the product of matrix elements of heavy-to-heavy and heavy-to-light currents. We discuss a possibility of factorization beyond the leading logarithm approximation and find it doubtful. The Wilson coefficients of the effective theory electro-weak (EWET) Lagrangian in the next-to-the leading logarithm approximation are calculated at the matching scale of the decay. The differential decay rate for the inclusive decay B -> J/ψ+h in the effective theory framework is evaluated.

29 pages, 13 figures; v2: added preprint numbers, acknowledgements; v3: minor corrections and references added to match the journal version

References in corpus (28)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• Invariant Operators in Collinear Effective Theory
• Soft-collinear effective theory and heavy-to-light currents beyond leading power
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• Renormalization group scaling in nonrelativistic QCD
• Measurement of J/Psi and Psi(2S) Polarization in ppbar Collisions at sqrt(s) = 1.8 TeV
• Two-loop Correction to the Leptonic Decay of Quarkonium
• Reparameterization Invariance for Collinear Operators
• Collinear effective theory at subleading order and its application to heavy-light currents
• Spin symmetry predictions for heavy quarkonia alignment
• P-Wave Charmonium Production in B-Meson Decays
• A Complete Basis for Power Suppressed Collinear-Ultrasoft Operators
• Helicity Decomposition for Inclusive $J/\psi$ Production
• QCD Radiative Corrections to the Leptonic Decay Rate of the B_c Meson
• QCD analysis of inclusive B decay into charmonium
• Renormalization group analysis of the QCD quark potential to order v^2
• Λ_b \to ΛJ/ψdecay in perturbative QCD
• B -> J/psi K^* Decays in QCD Factorization
• Problems of QCD factorization in exclusive decays of B meson to charmonium
• Power Counting and βFunction in NRQCD
• Factorization and SU(2) Heavy Flavor Symmetry for B-Meson Decays Producing Charmonium
• Probing Factorization in Color-Suppressed $B\to \psi (2S)+K(K^{\ast })$ Decay
• TESTS OF FACTORIZATION IN COLOR SUPPRESSED NONLEPTONIC B DECAY MODES,

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