2-LOOP ANOMALOUS DIMENSION MATRIX FOR DELTA-S=1 WEAK NONLEPTONIC DECAYS .2. O[ALPHA-ALPHA(S)]

We calculate the 10 x 10 two-loop anomalous dimension matrix to order O(alphaalpha(s)) in the dimensional regularization scheme with anticom muting gamma5 (NDR) which is necessary for the extension of the DELTAS = 1 weak hamiltonian involving electroweak penguins beyond the leadin g logarithmic approximation. We demonstrate how a direct calculation o f penguin diagrams involving gamma5 in closed fermion loops can be avo ided thus allowing a consistent calculation of two-loop anomalous dime nsions in the simplest renormalization scheme with anticommuting gamma 5 in D dimensions. We give the necessary one-loop finite terms which a llow us to obtain the corresponding two-loop anomalous dimension matri x in the HV scheme with non-anticommuting gamma5.