Moments of parton evolution probabilities on the lattice within the Schroedinger functional scheme
A. Bucarelli, F. Palombi, R. Petronzio, A. Shindler
Abstract
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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