Non-singlet Q2-evolution by inverse Mellin transform in the analytic perturbation theory

16th Workshop on High Energy Spin Physics

Sidorov, A.V.^1 ; Solovtsova, O.P.^1,2

Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna

141980, Russia^1

International Center for Advanced Studies, Technical University, Gomel

246746, Belarus^2

关键词: Analytic approach;    Fractional analytic perturbation theories;    Inverse Mellin transforms;    Jacobi polynomials;    Perturbation theory;    Scale parameter;    Structure functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/678/1/012042/pdf
DOI  :  10.1088/1742-6596/678/1/012042

来源: IOP

【 摘 要 】

We discuss the application of the analytic approach called the fractional Analytic Perturbation Theory (APT) to the QCD analysis of the non-singlet structure function xF3(x,Q2). The inverse Mellin transform method applyed for the fit of experimental data and for estimation of the Jacobi polynomial method accuracy in extraction of values of the scale parameter ΛQCDand the form of the xF3structure function. Our estimates give the accuracy of the Jacobi polynomials method for the x-shape of the structure function about 10%, and accuracy for the scale parameter ΛQCD4%.