2007/09/24 by André H. Hoang, Andre H. Hoang, Iain W. Stewart · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1016/j.physletb.2008.01.040
published as Phys.Lett.B660:483-493,2008 · 17 pages, 5 figures
arxiv created 2007/09/24 · openalex publication_date 2008/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Distributions in jet production often depend on a soft function, S, which describes soft large angle hadronic radiation between the jets. Near kinematic thresholds S encodes nonperturbative information, while far from thresholds S can be computed with an expansion in operators. We design soft functions for jet factorization theorems that serve this dual purpose, reducing to the perturbative result in the tail region and to a consistent model in the nonperturbative region. We use the MS¯ scheme, and in both regions S displays the appropriate renormalization group scale dependence. We point out that viable soft functions in jet production should have a gap associated with the minimum soft hadronic energy deposit. This gap is connected to the leading O(ΛQCD) renormalon ambiguity in massless jet event shapes. By defining the gap in a suitable scheme we demonstrate that the leading renormalon can be eliminated. This improves the convergence of perturbative results, and also the stability by which nonperturbative parameters encode the underlying soft physics.