Abstract
We discuss the renormalization of the twist-four operators (both the two-quark operator and the four-quark operator) and how the anomalous dimensions are calculated in a fairly compact way. Especially, we calculate large spin ( n) behaviour of the anomalous dimensions which are relevant for the two-quark process. The most singular behaviour turns out to be 2″ up to some power of n. By using them, we find that, in the twist-four level, W L ∞ (1 - x) 0 and W T( vW 3) ∞ (1 - x) 1 for the pion, and W L ∞ (1 - x) 2 and W T( vW 3) ∞ (1 - x) 3 for the nucleon, up to radiative corrections. These are the results which remain after the kinematical target mass effects are taken into account. Target and current dependence is also discussed.
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