QCD corrections to inclusive $ΔS=1,2$ transitions

Abstract

The talk summarises a calculation of the two-point functions for $ΔS=1$ current-current and QCD-penguin operators, as well as for the $ΔS=2$ 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 $ΔI=1/2$ transitions. In the $ΔS=2$ sector the QCD corrections are quite moderate ($\approx -20\%$). This work has been done in collaboration with Antonio Pich.