arXiv:hep-ph/9604388·v1·High Energy Physics — Phenomenology

Power Corrections and Renormalons in Deep Inelastic Structure Functions

M. Dasgupta · B.R. Webber (Cavendish Laboratory, University of Cambridge, U.K.)

Abstract

We study the power corrections (infrared renormalon contributions) to the coefficient functions for non-singlet deep inelastic structure functions due to gluon vacuum polarization insertions in one-loop graphs. Remarkably, for all the structure functions $F_{1}$ , $F_{2}$ , $F_{3}$ and $g_{1}$ , there are only two such contributions, corresponding to $1/ Q^{2}$ and $1/ Q^{4}$ power corrections. We compute their dependence on Bjorken $x$ . The results could be used to model the dominant higher-twist contributions.

Comments: Latex 2e, 9 pages including 2 Postscript figures