  We consider the renormalisation of composite quark-antiquark operators with
one and two lattice covariant derivatives related to the lowest moments of
generalised parton distributions (GPDs) and meson distribution amplitudes
(DAs). Their matrix elements are calculated in one-loop lattice perturbation
theory for non-zero momentum transfer. Using clover and overlap fermions we
present the resulting matrices of mixing and renormalisation factors. For
overlap fermions we explicitly check the absence of mixing with
lower-dimensional operators of different chirality in particular
representations of the hypercubic group. This feature favours the use of chiral
fermions.
