The n→0 limit of γgg(a) in QCD

2000/08/08 by J. F. Bennett, Jemma Bennett, J. A. Gracey
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Coupling constant #DGLAP #Exponent #Gluon #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scattering #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)00879-0

published as Phys.Lett.B488:269-273,2000 · 7 latex pages

arxiv created 2000/08/08 · openalex publication_date 2000/09/01 · arxiv updated 2010/03/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

We consider the n -> 0 limit of the DGLAP splitting function gamma_gg(a) at all orders in the strong coupling constant, a, by analysing the leading order large N_f form of the associated d-dimensional critical exponent. We show that for unpolarized scattering the pole at n = 0 which appears in successive orders in perturbation theory is absent in the resummed expression.

Citations

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