Multiple singular emission in gauge theories

2002/12/31 by David A. Kosower · 7 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Cosmology and Gravitation Theories #Factorization #Function (biology) #Gauge (firearms) #Gauge theory #Generalization #Gluon #Helicity #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum chromodynamics #Quantum mechanics #Theoretical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.67.116003

published as Phys.Rev. D67 (2003) 116003 · Corrections for final journal version (sign in eqn. (6.11), equation references, typos in indices) & removal of comment about FDH

openalex publication_date 2003/06/10 · arxiv created 2003/12/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I derive a class of functions unifying all singular limits for the emission of a given number of soft or collinear gluons in tree-level gauge-theory amplitudes. Each function is a generalization of the single-emission antenna function of my earlier paper. The helicity-summed squares of these functions are thus also generalizations to multiple singular emission of the Catani-Seymour dipole factorization function.

Citations

• Asymptotic freedom in parton language
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Differential Equations for Two-Loop Four-Point Functions
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations

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