Power corrections to fragmentation functions in non-singlet deep inelastic scattering

We investigate the power-suppressed corrections to the fragmentationfunctions of the current jet in non-singlet deep inelastic lepton-hadronscattering. The current jet is defined by selecting final-state particles inthe current hemisphere in the Breit frame of reference. Our method is based onan analysis of one-loop Feynman graphs containing a massive gluon, which isequivalent to the evaluation of leading infrared renormalon contributions. Wefind that the leading corrections are proportional to $1/Q^2$, as in $e^+e^-$annihilation, but their functional forms are different. We give quantitativeestimates based on the hypothesis of universal low-energy behaviour of thestrong coupling.Comment: 14 pages, 4 figures, LaTeX2e, uses JHEP.cls (included) and epsfi