Infrared Renormalons and Power Corrections in Deep-Inelastic Sum Rules

Abstract

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 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 define 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 $1/Q^2$ corrections are considered on a lattice.

18 pages, ReVTeX, 2 figures (not available by postscript yet)

References in corpus (4)

• Measurement of the Spin-Dependent Structure Function $g_1(x)$ of the Proton
• ERRATUM TO: Power corrections $1/Q^2$ to parton sum rules for deep inelastic scattering from polarized targets
• Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule
• Improved QCD sum rule estimates of the higher twist contributions to polarised and unpolarised nucleon structure functions

Cited by in corpus (15)

• Renormalons
• Large-Momentum Effective Theory
• Power Corrections and Renormalons in Deep Inelastic Structure Functions
• On The Difficulty of Computing Higher-Twist Corrections
• IR-Renormalon Contribution to the Longitudinal Structure Function $F_L$
• QCD analysis of the CCFR data for $x{F}_3$ and Higher--Twist Contribution
• Infrared renormalons and the relations between the Gross-Llewellyn Smith and the Bjorken polarized and unpolarized sum rules
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
• Sum rule for the twist four longitudinal structure function
• Borel-Pade vs Borel-Weniger method: a QED and a QCD example
• Higher Twist Effect in Inclusive Quarkonium Photoproduction
• Bjorken and threshold asymptotics of a space-like structure function in the 2D $U(N)$ Gross-Neveu model
• Renormalon-like factorial enhancements to power expansion/OPE in a super-renormalizable 2D $O(N)$ quartic model
• Parton Interpretation and Twist-4 Parton Distributions