The QCD analysis of the combined set for the F_3 structure function data based on the analytic approach

Abstract

We apply analytic perturbation theory to the QCD analysis of the xF_3(x,Q^2) structure function considering a combined set of deep inelastic scattering data presented by several collaborations, and extract values of the scale parameter Lambda_{QCD}, the parameters of the form of the xF_3 structure function, and the x-shape of the higher twist contribution. We study the difference between the results obtained within the standard perturbative and analytic approaches in comparison with the experimental errors and state that the greatest difference occurs for large x.

9 pages, 6 figures, journal version

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• Fractional Analytic QCD beyond Leading Order
• Fractional Analytic QCD beyond Leading Order in timelike region
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• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
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• Asymptotics of the contour of the stationary phase and efficient evaluation of the Mellin-Barnes integral for the F_3 structure function
• QCD analysis of $x{F}_3$ structure functions in deep-inelastic scattering: Mellin transform by Gegenbauer polynomial up to N${}^3$LO approximation