  We consider the pion matrix elements of the isoscalar and isovector
combinations of the vector and tensor twist-two operators that determine the
moments of the various pion generalised parton distributions. Our analysis is
performed using partially-quenched chiral perturbation theory. We work in the
SU(2) and SU(4|2) theories and present our results at infinite volume and also
at finite volume where some subtleties arise. These results are useful for
extrapolations of lattice calculations of these matrix elements at small
momentum transfer to the physical regime.
