NNLO QCD contributions to the flavor non-singlet sector of F2(x,Q2){\bf {F_2(x,Q^2)}}

We present the results of our QCD analysis for nonsinglet unpolarized quark distributions and structure function $F_2(x,Q^2)$. New parameterizations are derived for the nonsinglet quark distributions for the kinematic wide range of $x$ and $Q^2$. The analysis is based on the Jacobi polynomials expansion of the structure function. The higher twist contributions of proton and deuteron structure function are obtained in the large $x$ region. Our calculations for nonsinglet unpolarized quark distribution functions based on the Jacobi polynomials method are in good agreement with the other theoretical models. The values of $\Lambda_{QCD}$ and $\alpha_s(M_z^2)$ are determined.Comment: 29 pages, 8 figure

Conformal symmetry based relation between Bjorken and Ellis-Jaffe sum rules

The identity between expressions for the coefficient functions of the Bjorken and Ellis-Jaffe sum rules is derived in the conformal invariant limit of massless U(1) theory, namely in the perturbative quenched QED model, and in the same limit of the massless $SU(N_c)$ gauge theory with fermions. The derivation is based on the comparison of results of application of the operator product expansion approach to the dressed triangle Green functions of singlet Axial vector- Vector-Vector and non-singlet Axial vector-Vector-Vector fermion currents in the limit, when the conformal symmetry is not violated. The expressions for the $O(\alpha_s^3)$ approximation of the non-singlet coefficient function, derived in the conformal invariant limit of $SU(N_c)$ group, is reminded. Its possible application in the phenomenological analysis of the experimental data for the Bjorken polarized sum rule is outlined.Comment: A bit more detailed version of the talk at the XX Int. Workshop DIS-2012, March 26-30, Bonn and the Int. Workshop "Holography: Applications to Technicolor, Condensed matter and Hadrons", INR RAS, June 11-15, 2012, Moscow, misprints corrected, write-up of the talk accepted for publication in Proceedings of DIS-2012 Workshop; DESY-PROC-2012-02; Ed. Ian Broc