Non-Singlet QCD Analysis of the Structure Function F_2 in 3-Loops

Abstract

First results of a non--singlet QCD analysis of the structure function $F_2(x,Q^2)$ in 3--loop order based on the non--singlet world data are presented. Correlated errors are determined and their propagation through the evolution equations is performed analytically. The value for $α_s(M_Z)$ is determined to be $0.1135 +/- 0.0023/0.0026$ compatible with results from other QCD analyses. Low moments for $u_v(x)$, $d_v(x)$ and $u_v(x) - d_v(x)$ with correlated errors are calculated which may be compared with results from lattice simulations.