IR-Renormalon Contribution to the Longitudinal Structure Function $F_L$

Abstract

The available data on $F_L$ suggest the existence of unexpected large higher twist contributions. We use the $1/N_f$ expansion to analyze the renormalon contribution to the coefficient function of the longitudinal structure function $F_L^{p-n}$. The renormalon ambiguity is calculated for all moments of the structure function thus allowing to estimate the contribution of ``genuine'' twist-4 corrections as a function of Bjorken-$x$. The predictions turn out to be in surprisingly good agreement with the experimental data.

Comments: 12 pages, latex, including 1 figure, revised version with two reference added, no changes to the paper