The quenched generating functional for hadronic weak interactions

Abstract

The ultraviolet behaviour of the generating functional for hadronic weak interactions with $|ΔS| =1, 2$ is investigated to one loop for a generic number of flavours and in the quenched approximation. New quenched chiral logarithms generated by the weak interactions can be accounted for via a redefinition of the weak mass term in the $ΔS=\pm 1$ weak effective Lagrangian at leading order. Finally, we illustrate how chiral logarithms are modified by the quenched approximation in $K\toππ$ matrix elements with $ΔI=1/2$ and 3/2.