Perturbative Renormalisation for Low Moments of Generalised Parton Distributions with Clover Fermions
M. Gockeler, R. Horsley, H. Perlt, P. E. L. Rakow, A. Schaefer, G. Schierholz, A. Schiller
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.
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