Factorization and the soft overlap contribution to heavy-to-light form factors

2003/11/30 by Björn Lange, Bjorn O. Lange, Matthias Neubert · 87 citations
Mathematics · Physics and Astronomy · #Algorithm #Classical mechanics #Effective field theory #Factorization #Formalism (music) #High-Energy Particle Collisions Research #Kinematics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistical physics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2004.04.025

published in Nuclear Physics B 690(3), 249-278 (Elsevier BV) · 30 pages, 6 figures. Erratum added

openalex publication_date 2004/05/29 · arxiv created 2005/06/09 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the formalism of soft-collinear effective theory, a complete separation of short- and long-distance contributions to heavy-to-light transition form factors at large recoil is performed. The universal functions ζ_M(E) parameterizing the ``soft overlap'' contribution to the form factors are defined in terms of matrix elements in the effective theory. Endpoint configurations corresponding to kinematic situations where one of the valence partons in the external mesons carries very small momentum are accounted for in terms of operators involving soft-collinear messenger fields. They contribute at leading order in Λ_{\rm QCD}/E and spoil factorization. An analysis of operator mixing and renormalization-group evolution in the effective theory reveals that the intermediate scale √(EΛ) is without significance to the soft functions ζ_M(E), and that the soft overlap contribution does not receive a significant perturbative (Sudakov) suppression.

Citations

• An effective field theory for collinear and soft gluons: Heavy to light decays
• QCD factorization in B→πK, ππ decays and extraction of Wolfenstein parameters
• Factorization and Sudakov resummation in leptonic radiativeBdecay
• External operators and anomalous dimensions in soft-collinear effective theory
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• 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
• Sudakov effects in B→πℓνℓ form factors

Cited by

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• B→M1M2: Factorization, charming penguins, strong phases, and polarization
• SCET sum rules forB→PandB→Vtransition form factors
• Model-independent properties of theB-meson distribution amplitude
• Introduction to Soft-Collinear Effective Theory