An effective field theory for collinear and soft gluons: Heavy to light decays

2000/11/30 by C. Bauer, Christian W. Bauer, Sean Fleming +2 · 37 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.63.114020

published as Phys.Rev. D63 (2001) 114020 · 31 pages, 8 figs, journal version + typo in Figs. 1,4 fixed

openalex publication_date 2001/05/07 · arxiv created 2001/08/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particles, p_\ensuremath⊥, and the scale p_\ensuremath⊥²/Q. The heavy to light currents are matched onto operators in the effective theory at one loop and the renormalization group equations for the corresponding Wilson coefficients are solved. This running is used to sum Sudakov logarithms in inclusive \stackrel\ensuremath→BX_s\ensuremathγ and \stackrel\ensuremath→BX_ul\ensuremathν decays. We also show that the interactions with collinear gluons preserve the relations for the soft part of the form factors for heavy-to-light decays found by Charles et al. [Phys. Rev. D 60, 014001 (1999)], establishing these relations in the large energy limit of QCD.

Citations

• Evolution of the light-cone distribution function for a heavy quark

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