External operators and anomalous dimensions in soft-collinear effective theory

2003/09/19 by Thomas Becher, Richard J. Hill, Björn Lange +2 · 4 citations
Physics and Astronomy · #Classical mechanics #Effective field theory #Formalism (music) #High-Energy Particle Collisions Research #Lagrangian #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Soft modes #Theoretical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.69.034013

published as Phys.Rev. D69 (2004) 034013 · 15 pages, 2 figures

arxiv created 2003/09/19 · openalex publication_date 2004/02/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It has recently been argued that soft-collinear effective theory for processes involving both soft and collinear partons contains a new soft-collinear mode, which can communicate between the soft and collinear sectors of the theory. The formalism incorporating the corresponding fields into the effective Lagrangian is extended to include external current and four-quark operators relevant to weak interactions. An explicit calculation of the anomalous dimensions of these operators reveals that soft-collinear modes are necessary to correctly extract the ultraviolet behavior of the effective theory.

Citations

• An effective field theory for collinear and soft gluons: Heavy to light decays
• Factorization and Sudakov resummation in leptonic radiativeBdecay
• QCD factorization for exclusive non-leptonic B-meson decays: general arguments and the case of heavy–light final states

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