$K\to 3\pi$ Decays in Chiral Perturbation Theory

Abstract

The CP conserving amplitudes for the decays $K\to 3\pi$ are calculated in Chiral Perturbation Theory at the next-to-leading order. We present the expressions in a compact form with single parameter functions only. These expressions are then fitted to all available $K\to 2\pi$ and $K\to 3\pi$ data to obtain a fit of the parameters that occur. We compare with the work of Kambor, Missimer and Wyler.

27 pages, uses axodraw.sty, some misprints corrected. Short discussion on isospin breaking and final state interaction added