The quenched generating functional for hadronic weak interactions

The ultraviolet behaviour of the generating functional for hadronic weak interactions with |∆S| = 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 ∆S = ±1 weak effective Lagrangian at leading order. Finally, we illustrate how chiral logarithms are modified by the quenched approximation in K → ππ matrix elements with ∆I = 1/2 and 3/2.