English

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

High Energy Physics - Lattice 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.hep-lat/9808005,
  title  = {Moments of parton evolution probabilities on the lattice within the Schroedinger functional scheme},
  author = {A. Bucarelli and F. Palombi and R. Petronzio and A. Shindler},
  journal= {arXiv preprint arXiv:hep-lat/9808005},
  year   = {2009}
}

Comments

Latex file, 4 figures, 15 pages