Charged current deep-inelastic scattering at three loops

Details Charged current deep-inelastic scattering at three loops Charged current deep-inelastic scattering at three loops

2007-04-13

arxiv.org/abs/0704.1740v1

Nucl.Phys.B782:51-78,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, 6 figures

Scientific paper

10.1016/j.nuclphysb.2007.05.008

We derive for deep-inelastic neutrino-proton scattering in the combination nu P - nubar P the perturbative QCD corrections to three loops for the charged current structure functions F_2, F_L and F_3. In leading twist approximation we calculate the first five odd-integer Mellin moments in the case of F_2 and F_L and the first five even-integer moments in the case of F_3. As a new result we obtain the coefficient functions to O(alpha_s^3) while the corresponding anomalous dimensions agree with known results in the literature.

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