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Paper   IPM / Physic / 8475
School of Physics
  Title:   The NNLO Non-Singlet QCD Analysis of Parton Distributions Based on Bernstein Polynomials
  Author(s): 
1.  A.N. Khorramian
2.  S. Atashbar Tehrani
  Status:   Published
  Journal: JHEP
  Vol.:  03
  Year:  2007
  Pages:   051
  Supported by:  IPM
  Abstract:
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 ΛMS 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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