The Gross--Llewellyn Smith Sum Rule in the Analytic Approach to Perturbative QCD

Abstract

We apply analytic perturbation theory to the Gross--Llewellyn Smith sum rule. We study the $Q^2$ evolution and the renormalization scheme dependence of the analytic three-loop QCD correction to this sum rule, and demonstrate that the results are practically renormalization scheme independent and lead to rather different $Q^2$ evolution than the standard perturbative correction possesses.

17 pages, 9 eps figures, REVTeX

References in corpus (11)

• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• An Improved Determination of ${\alpha }_S$ From Neutrino-Nucleon Scattering
• Analytic Perturbation Theory and Inclusive Tau Decay
• A measurement of $alph{a}_s(Q^2)$ from the Gross-Llewellyn Smith Sum Rule
• Analytic Approach to Perturbative QCD and Renormalization Scheme Dependence
• Pade Approximants, Optimal Renormalization Scales, and Momentum Flow in Feynman Diagrams
• The Bjorken Sum Rule in the Analytic Approach to Perturbative QCD
• On the role of power expansions in quantum field theory
• Analytic Perturbation Theory: A New Approach to the Analytic Continuation of the Strong Coupling Constant ${\alpha }_S$ into the Timelike Region
• NNLO QCD Analysis of CCFR data on $x{F}_3$ Structure Function and Gross-Llewellyn Smith Sum Rule with Higher Twist and Nuclear Corrections
• The Physics of the Ultraviolet Renormalon

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