Additional Isospin-Breaking Effects in ε^\prime/ε

Abstract

In the analysis of ε^\prime/εit has been traditional to consider the isospin-breaking effects arising from electroweak-penguin contributions and from π^0-ηand π^0-η^\prime mixing, yet additional isospin-violating effects exist. In particular, we study the isospin violation which arises from the u-d quark mass difference in the hadronization of the gluonic penguin operator, engendering contributions of an effective ΔI=3/2 character. Using chiral perturbation theory and the factorization approximation for the hadronic matrix elements, we find within a specific model for the low-energy constants that we can readily accommodate an increase in ε^\prime/εby a factor of two.