We evaluate matching conditions for the Wilson coefficients of operators me
diating the b --> s gamma and b --> s gluon transitions in a large class of
extensions of the Standard Model. The calculation is performed at the lead
ing order in flavour-changing couplings and includes two-loop QCD correctio
ns. These corrections can be numerically important when approximate cancell
ations occur among the new physics contributions and/or the SM one. (C) 200
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