Large-order Behaviour due to Ultraviolet Renormalons in QCD

Details Large-order Behaviour due to Ultraviolet Renormalons in QCD Large-order Behaviour due to Ultraviolet Renormalons in QCD

1997-03-21

arxiv.org/abs/hep-ph/9703389v1

Phys.Lett. B404 (1997) 315-320

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LaTeX

Scientific paper

10.1016/S0370-2693(97)00562-5

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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