Infrared Renormalons and Power Corrections in Deep-Inelastic Sum Rules

Infrared renormalons and $1/Q^2$ power corrections in deep-inelastic sum rules are studied. The renormalization of operators with power divergence are discussed. The higher-twist terms in the operator product expansion are shown to account for the residual

a r X i v :h e p -p h /9411312v 1 16 N o v 1994INFRARED RENORMALONS AND POWER CORRECTIONS IN DEEP-INELASTIC SUM RULES ?Xiangdong Ji Center for Theoretical Physics Laboratory for Nuclear Science and Department of Physics Massachusetts Institute of Technology Cambridge,Massachusetts 02139(MIT-CTP-2381HEP-PH /9411312Submitted to:Nucl.Phys.B November 1994)Abstract Infrared renormalons and 1/Q 2power corrections in deep-inelastic sum rules are studied.The renormalization of operators with power divergence are dis-cussed.The higher-twist terms in the operator product expansion are shown to account for the residual soft contributions survived from the Kinoshita-Lee-Nauenberg type of cancellation in Feynman diagrams.The presence of some degree of arbitrariness in the twist separation allows one to de?ne the most convenient higher-twist operators suitable for a particular non-perturbative method.The discussion is focused on the Bjorken sum rule,for which the 1/Q 2corrections are considered on a lattice.

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