Isospin Breaking in $K\to 3\pi$ Decays II: Radiative Corrections

Abstract

The five different CP conserving amplitudes for the decays $K\to 3\pi$ 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.

24 pages, misprints corrected, some rewordings

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Pion and Kaon Electromagnetic Form Factors
• Radiative corrections to K_{l3} decays
• $K\to 3\pi$ Decays in Chiral Perturbation Theory
• 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
• Measurement of the Dalitz plot slope parameters for K- -> pi0 pi0 pi- decay using ISTRA+ detector

Cited by in corpus (16)

• Kaon Decays in the Standard Model
• Cusps in K --> 3 pi decays
• Pion-pion scattering and the K->3pi decay amplitudes
• Electromagnetic corrections in eta --> 3 pi decays
• Radiative corrections in K --> 3 pi decays
• 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
• Soft-photon corrections in multi-body meson decays
• Dispersive construction of two-loop $P\to \pi \pi \pi$ $(P=K,\eta )$ amplitudes
• 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
• Leading Chiral Logarithms of $K_S\to \gamma \gamma$ and $K_S\to \gamma l^{+}{l}^{-}$ at two Loops
• Measuring the a0-a2 pion scattering lengths through K to 3 pi decays
• CP conserved nonleptonic $K\to \pi \pi \pi$ decays in the Chiral Quark Model