1992/03/27 by G.P. Korchemsky, G. P. Korchemsky, Anatoly Radyushkin +1 · 194 citations
Mathematics · Physics and Astronomy · #Cusp (singularity) #Dimension (graph theory) #Effective field theory #Factorization #Field (mathematics) #High-Energy Particle Collisions Research #Infrared #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Renormalization #hep-ph
paper · pdf · doi:10.1016/0370-2693(92)90405-s
published in Physics Letters B 279(3-4), 359-366 (Elsevier BV) · 10 pages
arxiv created 1992/03/27 · openalex publication_date 1992/04/01 · arxiv updated 2010/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that, in QCD, the same universal function Γcusp(ϑ, α_\s) determines the infrared behaviour of the on-shell quark form factor, the velocity-dependent anomalous dimension in the heavy quark effective field theory (HQET) and the renormalization properties of the vacuum averaged Wilson lines with a cusp. It is demonstrated that a combined use of the methods developed in the relevant different branches of quantum field theory essentially facilitates the all-order study of the asymptotic and analytic properties of this function.