Perturbative Renormalisation for Low Moments of Generalised Parton Distributions with Clover Fermions
arXiv:hep-lat/0511041 · doi:10.1016/j.nuclphysbps.2006.01.037
Abstract
We present the non-forward quark matrix elements of operators with one and two covariant derivatives needed for the renormalisation of the first and second moments of generalised parton distributions in one-loop lattice perturbation theory using clover fermions. For some representations of the hypercubic group commonly used in simulations we define the sets of possible mixing operators and compute the one-loop mixing matrices of renormalisation factors. Tadpole improvement is applied to the results and some numerical examples are presented.
8 pages, 2 figures, Talk given at Workshop on Computational Hadron Physics, Nicosia, September 2005