Large-order Behaviour due to Ultraviolet Renormalons in QCD

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.

Comments: 9 pages, LaTeX