Lattice hadron matrix elements with the Schroedinger functional: the   case of the first moment of non-singlet quark density
  We present the results of a non-perturbative determination of the pion matrix element of the twist-2 operator corresponding to the average momentum of non-singlet quark densities. The calculation is made within the Schroedinger functional scheme. We report the results of simulations done with the standard Wilson action and with the non-perturbatively improved clover action and we show that their ratio correctly extrapolates, in the continuum limit, to a value compatible with the residual correction factor expected from perturbation theory. 
M. Guagnelli, K. Jansen and R. Petronzio