Erratum: charm quark contribution to $ {K^{+}}\to {\pi^{+}}\nu \overline{\nu} $ at next-to-next-to-leading order

Abstract

Abstract We correct the treatment of anomalous triangle diagrams occuring in the effective theory in which the heavy top quark is integrated out. To this end we determine the initial conditions and anomalous dimensions of the operator describing the Z-mediated coupling of neutrinos to quarks and further rectify the bilocal renormalization group evolution. Our changes affect the charm-quark contribution P c(X) at the next-to-leading and next-to-next-to-leading orders, but are numerically negligible as they amout to relative shifts below a permille.