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| Paper IPM / Physic / 8475 |
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| Abstract: | |||||
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A non-singlet QCD analysis of the structure function
xF3 up to NNLO is performed based on the Bernstein polynomials
approach. We use recently calculated NNLO anomalous dimension
coefficients for the moments of the xF3 structure function in
νN scattering. In the fitting procedure, Bernstein polynomial
method is used to construct experimental moments from the xF3
data of the CCFR collaboration in the region of x which is
inaccessible experimentally. We also consider Bernstein averages
to obtain some unknown parameters which exist in the valence quark
densities in a wide range of x and Q2. The results of valence
quark distributions up to NNLO are in good agreement with the
available theoretical models. In the analysis we determined the
QCD-scale Λ―MS QCD, Nf=4=211 MeV (LO),
259 MeV (NLO) and 230 MeV (NNLO), corresponding to
αs(MZ2)=0.1291 LO, αs(MZ2)=0.1150 NLO and
αs(MZ2)=0.1142 NNLO. We compare our results for the QCD
scale and the αs(MZ2) with those obtained from deep
inelastic scattering processes.
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