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Paper IPM / Particles / 14566  


Abstract:  
We present a detailed QCD analysis of nucleon structure functions xF_{3} (x, Q^{2}), based on Laplace transforms and Jacobi polynomials approach.
The analysis corresponds to the nexttoleading order and nexttonexttoleading order approximation of perturbative QCD. The Laplace transform technique, as an exact analytical solution, is used for the solution of nonsinglet DokshitzerGribovLipatovAltarelliParisi evolution equations at low and largex values. The extracted results are used as input to obtain the x and Q^{2} evolution of xF_{3}(x, Q^{2}) structure
functions using the Jacobi polynomials approach. In our work, the values of the typical QCD scale Λ_{―MS}^{(nf)} and the strong coupling constant α_{s}(M_{Z}^{2}) are determined for four quark flavors (n_{f}=4) as well. A careful estimation of the uncertainties shall be performed using the Hessian method for the valencequark distributions, originating from the experimental errors.
We compare our valencequark parton distribution functions sets with those of other collaborations; in particular with the BBG, CT14, MMHT14 and NNPDF sets, which are contemporary with the present analysis. The obtained results from the analysis are in good agreement with those from the literature.
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