Higher Mellin moments for charged current DIS
M. Rogal, S. Moch
TL;DR
This paper presents three-loop perturbative QCD corrections to charged current structure functions in neutrino-proton deep-inelastic scattering, including new coefficient functions and Mellin moments calculations.
Contribution
It provides the first calculation of coefficient functions to O(alpha_s^3) and extends Mellin moments for F_2, F_L, and F_3 in charged current DIS.
Findings
Computed three-loop QCD corrections for structure functions.
Calculated Mellin moments for F_2, F_L, and F_3.
Confirmed anomalous dimensions agree with existing literature.
Abstract
We report on our recent results for deep-inelastic neutrino-proton scattering. We have computed the perturbative QCD corrections to three loops for the harged current structure functions F_2, F_L and F_3 for the combination nu P - nubar P. In leading twist approximation we have calculated the first six odd-integer Mellin moments in the case of F_2 and F_L and the first six even-integer moments in the case of F_3. As a new result we have obtained the coefficient functions to O(alpha_s^3) and we have found the corresponding anomalous dimensions to agree with known results in the literature.
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