  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.
