  The contributions of the improved fermion action of Sheikholeslami and
Wohlert to the two loop coefficient of the expansion of the Schroedinger
functional coupling in terms of the lattice coupling are calculated for the
gauge group SU(3). These coefficients are required for the second order
relation of lattice data to the MSbar-coupling. By taking into account all
improvement coefficients we are able to improve the Schroedinger functional to
two loop order.
