Renormalization group invariant average momentum of non-singlet parton densities

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.

arXiv commentLatex2e file, 4 figures, 12 pages

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• On the Scaling Violations of Diffractive Structure Functions: Operator Approach
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• Lattice hadron matrix elements with the Schroedinger functional: the case of the first moment of non-singlet quark density
• A quenched study of the Schroedinger functional with chirally rotated boundary conditions: applications
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