Moments of parton evolution probabilities on the lattice within the Schroedinger functional scheme

Details Moments of parton evolution probabilities on the lattice within the Schroedinger functional scheme Moments of parton evolution probabilities on the lattice within the Schroedinger functional scheme

1998-08-06

arxiv.org/abs/hep-lat/9808005v1

Nucl.Phys. B552 (1999) 379-391

Physics

High Energy Physics

High Energy Physics - Lattice

Latex file, 4 figures, 15 pages

Scientific paper

10.1016/S0550-3213(99)00176-5

We define, within the Schroedinger functional scheme (SF), the matrix elements of the twist-2 operators corresponding to the first two moments of non-singlet parton densities. We perform a lattice one-loop calculation that fixes the relation between the SF scheme and other common schemes and shows the main source of lattice artefacts. This calculation sets the basis for a numerical evaluation of the non-perturbative running of parton densities.

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