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arXiv · hep-ph/9703389

Large-order Behaviour due to Ultraviolet Renormalons in QCD

M. Beneke·V. M. Braun·N. Kivel
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Abstract

Ultraviolet renormalons, contrary to their infrared counterparts, lead to a universal contribution to the large-order behaviour of perturbative expansions in QCD. In this letter, we determine nature of the leading ultraviolet renormalon singularity for the inclusive hadroproduction cross section in $e^+ e^-$ annihilation, for hadronic $τ$ decays and the moments of deep-inelastic scattering structure functions. We comment on the relevance of ultraviolet renormalons to estimates in low orders of perturbation theory.

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M. Beneke, V. M. Braun, N. Kivel. 1997-03-21. Large-order Behaviour due to Ultraviolet Renormalons in QCD. https://doi.org/10.1016/s0370-2693(97)00562-5

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