QCD corrections to inclusive $\Delta$S = 1,2 transitions

The talk summarises a calculation of the two-point functions for \Delta S=1 current-current and QCD-penguin operators, as well as for the \Delta S=2 operator, at the next-to-leading order. The size of the gluonic corrections to current-current operators is large, providing a qualitative understanding of the observed enhancement in \Delta I=1/2 transitions. In the \Delta S=2 sector the QCD corrections are quite moderate (\approx -20\%). This work has been done in collaboration with Antonio Pich.