1999/02/05 by I. Caprini, Irinel Caprini, Matthias Neubert · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Mathematical Dynamics and Fractals #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1088/1126-6708/1999/03/007
published as JHEP 9903 (1999) 007 · 22 pages, uses JHEP.cls (included), submitted to JHEP
arxiv created 1999/02/05 · openalex publication_date 1999/03/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive a compact expression for the Borel sum of a QCD amplitude in terms of the inverse Mellin transform of the corresponding Borel function. The result allows us to investigate the momentum-plane analyticity properties of the Borel-summed Green functions in perturbative QCD. An interesting connection between the asymptotic behaviour of the Borel transform and the Landau singularities in the momentum plane is established. We consider for illustration the polarization function of massless quarks and the resummation of one-loop renormalon chains in the large-β0 limit, but our conclusions have a more general validity.