Eur. Phys. J. C (2006) 48: 523-530
https://doi.org/10.1140/epjc/s10052-006-0031-7

Theoretical Physics

Renormalisation of composite operators in lattice perturbation theory with clover fermions: non-forward matrix elements

¹ Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany
² School of Physics, University of Edinburgh, Edinburgh, EH9 3JZ, UK
³ Institut für Theoretische Physik, Universität Leipzig, 04109, Leipzig, Germany
⁴ Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, UK
⁵ John von Neumann-Institut für Computing NIC, Deutsches Elektronen-Synchrotron DESY, 15738, Zeuthen, Germany
⁶ Deutsches Elektronen-Synchrotron DESY, 22603, Hamburg, Germany

^* e-mail: meinulf.goeckeler@physik.uni-regensburg.de

Received: 7 June 2006
Published online: 24 October 2006

Abstract

We consider the renormalisation of lattice QCD operators with one and two covariant derivatives related to the first and second moments of generalised parton distributions and meson distribution amplitudes. Employing the clover fermion action we calculate their non-forward quark matrix elements in one-loop lattice perturbation theory. For some representations of the hypercubic group commonly used in simulations we determine the sets of all possible mixing operators and compute the matrices of the renormalisation factors in one-loop approximation. We describe how tadpole improvement is applied to the results.