Renormalization group invariant average momentum of non-singlet parton densities

Details Renormalization group invariant average momentum of non-singlet parton densities Renormalization group invariant average momentum of non-singlet parton densities

1999-03-07

arxiv.org/abs/hep-lat/9903012v1

Phys.Lett. B459 (1999) 594-598

Physics

High Energy Physics

High Energy Physics - Lattice

Latex2e file, 4 figures, 12 pages

Scientific paper

10.1016/S0370-2693(99)00712-1

We compute, within the Schr\"odinger 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.

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