Isospin Breaking in $K\to 3\pi$ Decays I: Strong Isospin Breaking

Abstract

The CP conserving amplitudes for the decays $K\to 3\pi$ are calculated in Chiral Perturbation Theory. The calculation is made at the next-to-leading order including strong and local electromagnetic isospin breaking. A comparison is made between the squared amplitudes with and without isospin violation to estimate the size of the effect. We find corrections of order five percent in the amplitudes.

25 pages, 7 figures

References in corpus (1)

• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT

Cited by in corpus (13)

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• Pion-pion scattering and the K->3pi decay amplitudes
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• Isospin Breaking in $K\to 3\pi$ Decays III: Bremsstrahlung and Fit to Experiment
• Isospin Breaking in $K\to 3\pi$ Decays II: Radiative Corrections
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• The 27-plet contributions to the CP-conserving $K\to \pi l^{+}{l}^{-}$ decays
• Dispersive representation of K -> 3 pi amplitudes and cusps
• $K\to \pi {\ell }^{+}{\ell }^{-}$ form factor in the Large-N${}_c$ and cut-off regularization method
• Facets of chiral perturbation theory
• CP conserved nonleptonic $K\to \pi \pi \pi$ decays in the Chiral Quark Model
• Measuring the a0-a2 pion scattering lengths through K to 3 pi decays
• CP, CPT and Rare Decays