Isospin Breaking in $K\to 3\pi$ Decays III: Bremsstrahlung and Fit to Experiment

Abstract

We complete here our work on isospin violation in the $K\to 3\pi$ system. We first calculate $K\to 2\pi$ to the same order as we did $K\to 3\pi$ 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, $K\to 2\pi \gamma ,3\pi \gamma$. With these and our earlier results we perform a full fit to all available CP conserving data in the $K\to 2\pi ,3\pi$ 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.

11 pages

References in corpus (6)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Determination of the a0-a2 pion scattering length from K->pi+ pi0 pi0 decay
• Isospin Breaking in K -> Pi Pi Decays
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• Isospin Breaking in $K\to 3\pi$ Decays I: Strong Isospin Breaking
• Virtual Photon Correction to the $K^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$ Decay

Cited by in corpus (23)

• Kaon Decays in the Standard Model
• 50 Years of Quantum Chromodynamics
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• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Measurements of the Absolute Branching Ratios for the Dominant KL Decays, the KL Lifetime, and Vus with the KLOE Detector
• Cusps in K_L --> 3 pi decays
• Cusps in K --> 3pi decays: a theoretical framework
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• New Physics Patterns in ${\epsilon }^{\prime }/\epsilon$ and ${\epsilon }_K$ with Implications for Rare Kaon Decays and $\Delta M_K$
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• Soft-photon corrections in multi-body meson decays
• The Physics of DAFNE and KLOE
• Reanalysis of pion pion phase shifts from K -> pi pi decays
• A measurement of the $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decay
• Dispersive construction of two-loop $P\to \pi \pi \pi$ $(P=K,\eta )$ amplitudes
• BSM Master Formula for ${\epsilon }^{\prime }/\epsilon$ in the WET Basis at NLO in QCD
• The 27-plet contributions to the CP-conserving $K\to \pi l^{+}{l}^{-}$ decays
• $K\to \pi {\ell }^{+}{\ell }^{-}$ form factor in the Large-N${}_c$ and cut-off regularization method
• Facets of chiral perturbation theory
• Measuring the a0-a2 pion scattering lengths through K to 3 pi decays