2009/01/31 by Andrew Hornig, Christopher Lee, Grigory Ovanesyan · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Approximation and Integration #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1016/j.physletb.2009.05.039
published as Phys.Lett.B677:272-277,2009 · 6 pages, 7 figures, uses elsarticle.cls. v2: extended introduction and clarified discussion of ingredients necessary for proving factorization
arxiv created 2009/05/13 · openalex publication_date 2009/05/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The rules of soft-collinear effective theory can be used naively to write hard scattering cross-sections as convolutions of separate hard, jet, and soft functions. One condition required to guarantee the validity of such a factorization is the infrared safety of these functions in perturbation theory. Using e+e- angularity distributions as an example, we propose and illustrate an intuitive method to test this infrared safety at one loop. We look for regions of integration in the sum of Feynman diagrams contributing to the jet and soft functions where the integrals become infrared divergent. Our analysis is independent of an explicit infrared regulator, clarifies how to distinguish infrared and ultraviolet singularities in pure dimensional regularization, and demonstrates the necessity of taking zero-bins into account to obtain infrared-safe jet functions.