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• W2103786352 abstract "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=4,3loop)=274±20 MeV,αs3loop(MZ2)=0.1166±0.0013,χ2/d.o.f.=92/(153−18) from ep and, from νN, Λ(nf=4,3loop)=255±72 MeV,αs3loop(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. We can also extrapolate the fit, made originally for the range 3.5⩽Q2⩽230 GeV2 to higher momenta, obtaining very good reproduction of experimental data up to Q2≃5000 GeV2. The fitted value of the coupling is now, including the data at high Q2, αs3loop(MZ2)=0.1163±0.0014." @default.
• W2103786352 created "2016-06-24" @default.
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• W2103786352 creator A5033133539 @default.
• W2103786352 date "2001-09-01" @default.
• W2103786352 modified "2023-09-27" @default.
• W2103786352 title "Improved calculation of F2 in electroproduction and xF3 in neutrino scattering to NNLO and determination of αs" @default.
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• W2103786352 doi "https://doi.org/10.1016/s0550-3213(01)00328-5" @default.
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