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Renormalization group invariant average momentum of non-singlet parton densities

arXiv:hep-lat/9903012 · doi:10.1016/S0370-2693(99)00712-1

Abstract

We compute, within the Schrödinger functional scheme, a renormalization group invariant renormalization constant for the first moment of the non-singlet parton distribution function. The matching of the results of our non-perturbative calculation with the ones from hadronic matrix elements allows us to obtain eventually a renormalization group invariant average momentum of non-singlet parton densities, which can be translated into a preferred scheme at a specific scale.

Latex2e file, 4 figures, 12 pages