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“School of Particles”

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Paper   IPM / Particles / 11292
School of Particles and Accelerator
  Title:   Pade approximations and non-singlet structure function up to N3LO
  Author(s): 
1 . Hamzeh Khanpour
2 . Ali Naghi Khorramian
3 . Shahin Atashbar Tehrani
  Status:   In Proceedings
  Proceeding: High Energy Physics, EPS-HEP.
  Year:  2009
  Pages:   1-3
  Supported by:  IPM
  Abstract:
We apply a method of estimating perturbative coefficients in Quantum Field Theory using Pad� approximations. In our QCD analysis we have performed this method to determine 4-loop anomalous dimension and 3-loop Wilson coefficients and found that the method works very well. By using Pad� approximations, the results of our non-singlet QCD analysis for the experimental data of the deep-inelastic neutrino-nucleon scattering up to N3LO have been calculated. The analysis is based on the associated Jacobi polynomials technique of reconstruction of the structure functions from its Mellin moments. Our results of parton densities xuv(x,Q2) and xdv(x,Q2), LQCD and as(M2 z ) have been presented.

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