Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

Details Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

2009-09-14

arxiv.org/abs/0909.2665v2

Phys.Rev.D81:014013,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 5 figures and 4 tables

Scientific paper

10.1103/PhysRevD.81.014013

We present the results of our QCD analysis for non-singlet unpolarized quark distributions and structure function $F_2(x,Q^2)$ up to N$^3$LO. In this regards 4-loop anomalous dimension can be obtain from the Pad\'e approximations. The analysis is based on the Jacobi polynomials expansion of the structure function. New parameterizations are derived for the non-singlet quark distributions for the kinematic wide range of $x$ and $Q^2$. Our calculations for non-singlet unpolarized quark distribution functions up to N$^3$LO are in good agreement with available theoretical models. The higher twist contributions of $F_2^{p,d}(x,Q^2)$ are extracted in the large $x$ region in N$^3$LO analysis. The values of $\Lambda_{QCD}$ and $\alpha_s(M_z^2)$ are determined.

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