2-LOOP MATCHING OF THE DIPOLE OPERATORS FOR B-]S-GAMMA AND B-]SG

The order alpha(s) corrections to the Wilson coefficients of the dipol e operators (O-7,O-8) at the matching scale mu=m(W) are a crucial ingr edient for a complete next-to-leading logarithmic calculation of the b ranching ratio for b-->(s) gamma. Given the phenomenological relevance and the fact that this two-loop calculation has been done so far only by Adel and Yao, we present a detailed recalculation using a differen t method. Our results are in complete agreement with those of Adel and Yao.