Johan Bijnens, Fredrik Borg
Isospin Breaking in K -> 3 Pi Deacays II: Radiative Corrections

Eur.Phys.J. C39 (2005) 347-357

Abstract
The five different CP conserving amplitudes for the decays $K\to3\pi$ are calculated using Chiral Perturbation Theory. The calculation is made to next-to-leading order and includes full isospin breaking. The squared amplitudes are compared with the corresponding ones in the isospin limit to estimate the size of the isospin breaking effects. In this paper we add the radiative corrections to the earlier calculated $m_u-m_d$ and local electromagnetic effects. We find corrections of order 5-10 percent.

LU TP 04-37, hep-ph/0410333