Improved calculation of F2 in electroproduction and xF3 in neutrino scattering to NNLO and determination of αs Original Research Article

We improve the existing calculations of deep inelastic scattering to next-to-next-to-leading order in the following manner. First, we use the recently calculated values of the anomalous dimensions for moments with index n=10,12 in ep scattering. Second, we use also recently calculated anomalous dimensions for n=1,3,…,13 for xF3 in νN scattering, to extend the calculation to this process. Lastly, we use the determinantal constraints on the moments that follow from positivity of the structure functions to stabilize the fits. We find substantial improvement over previous results, getting the following numbers: Λ(nf=4,3 loop)=274±20 MeV, αs3 loop(MZ2)=0.1166±0.0013,χ2/d.o.f.=92/(153−18) from ep and, from νN, Λ(nf=4,3 loop)=255±72 MeV, αs3 loop(MZ2)=0.1153±0.0063,χ2/d.o.f.=0.335/(64−7). The errors take into account experimental errors and higher twist effects among other estimated theoretical errors.