Isospin Breaking in $K\to3π$ Decays III: Bremsstrahlung and Fit to Experiment

Details Isospin Breaking in $K\to3π$ Decays III: Bremsstrahlung and Fit to Experiment Isospin Breaking in $K\to3π$ Decays III: Bremsstrahlung and Fit to Experiment

2005-01-18

arxiv.org/abs/hep-ph/0501163v1

Eur.Phys.J.C40:383-394,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages

Scientific paper

10.1140/epjc/s2005-02155-7

We complete here our work on isospin violation in the $K\to3\pi$ system. We first calculate $K\to2\pi$ to the same order as we did $K\to3\pi$ in papers I and II of this series. This adds effects of order $G_{27} p^2 (m_u-m_d)$ and $G_{27} p^2 e^2$ to earlier work. We calculate also the lowest order Bremsstrahlung contributions, $K\to2\pi\gamma,3\pi\gamma$. With these and our earlier results we perform a full fit to all available CP conserving data in the $K\to2\pi,3\pi$ system including isospin violation effects. We perform these fits under various input assumptions as well as test the factorization and the vector dominance model for the weak NLO low energy constants.

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