Acta Physica Polonica B

Vol. 40, No. 11, November 2009, page 2971


Determination of Valance Quark Distributions in Higher Order of Perturbative QCD

H. Khanpour, A.N. Khorramian, S.A. Tehrani, A. Mirjalili

We perform N3LO QCD analysis of the world data on the unpolarized DIS structure functions to determine \alpha s and valance quark distributions with fully correlated errors. Due to increasing the accuracy of DIS experiments and reduction the experimental errors on determining the strong coupling constant, the higher order analysis is required. The Padé approximations are used to estimate the 4-loop anomalous dimension. We consider the non-singlet sector of parton distributions in our calculations. A comparison of the N3LO/N2LO with N3LO/NLO ratios for up and down valence quark distributions indicate outstanding influence of the higher order analysis.

PACS numbers: 13.60.Hb, 12.39.–x, 14.65.Bt


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