The N 3LO scheme-invariant QCD evolution of the non-singlet structure functions F 2 NS ( x , Q 2 ) and g 1 NS ( x , Q 2 )

摘要

We present the scheme-invariant unpolarized and polarized flavor non–singlet evolution equation to N3LO for the structure functionsF2(x,Q2)andg1(x,Q2)including the charm- and bottom quark effects in the asymptotic representation. The corresponding evolution is based on the experimental measurement of the non–singlet structure functions at a starting scaleQ02. In this way the evolution does only depend on the strong coupling constantαs(MZ)or the QCD scaleΛQCDand the charm and bottom quark massesmcandmband provides one of the cleanest ways to measure the strong coupling constant in future high luminosity deep–inelastic scattering experiments. The yet unknown parts of the 4–loop anomalous dimensions introduce only a marginal error in this analysis.