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Large-order Behaviour due to Ultraviolet Renormalons in QCD

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arxiv hep-ph/9703389 v1 pith:4TOIBTUB submitted 1997-03-21 hep-ph

M. Beneke (CERN) , V.M. Braun (NORDITA) , N. Kivel (St. Petersburg) This is my paper · ORCID
classification hep-ph
keywords ultravioletrenormalonsbehaviourlarge-orderannihilationcommentcontrarycontribution
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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 $\tau$ 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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  1. Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings

    hep-ph 2019-08 conditional novelty 5.0 of 10

    The paper predicts the six-, seven-, and eight-loop Adler function coefficients in MS QCD as c5,1=287±40, c6,1=2948±208, c7,1=(1.89±0.75)×10^4 by reexpanding conformal-mapping accelerated Borel series.

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