Isospin Breaking in $K\to3π$ Decays II: Radiative Corrections

Details Isospin Breaking in $K\to3π$ Decays II: Radiative Corrections Isospin Breaking in $K\to3π$ Decays II: Radiative Corrections

2004-10-25

arxiv.org/abs/hep-ph/0410333v2

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

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, misprints corrected, some rewordings

Scientific paper

10.1140/epjc/s2004-02094-9

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.

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