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

M Göckeler,A Schäfer,A Schiller,R Horsley,P.E.L Rakow,H Perlt,G Schierholz

doi:10.1140/epjc/s10052-008-0632-4

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 renormalisation factors in one-loop approximation. We describe how tadpole improvement is applied to the results.

Highlights

After a recalculation of matrix elements with clover improved fermions the following errors have to be corrected
All coefficients of the terms which are linear in csw have to be multiplied with (−1)
M. Gockeler et al.: Renormalisation of composite operators in lattice perturbation theory

Summary

Introduction

After a recalculation of matrix elements with clover improved fermions the following errors have to be corrected. Renormalisation of composite operators in lattice perturbation theory with clover fermions: Non-forward matrix elements

Results

Conclusion