Isospin breaking in Kℓ4 decay of the neutral kaon

2003/11/10 by A. Nehme
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2004.01.017

published as Nucl.Phys. B682 (2004) 289-346 · 62 pages, LaTeX, 5 postscript figures, 1 table

arxiv created 2003/11/10 · openalex publication_date 2004/02/06 · arxiv updated 2009/12/01 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

Abstract

In the presence of photons, the neutral K_{ℓ 4} decay, K⁰→π⁰π^-ℓ⁺ν_ℓ, can be parameterized in terms of three vectorial, one anomalous, and one tensorial form factors. We present here analytic expressions of two vectorial form factors, f and g, calculated at one-loop level in the framework of chiral perturbation theory based on the effective Lagrangian including mesons, photons, and leptons. These expressions may then be used to disentangle the Isospin breaking part from the measured form factors and hence improve the accuracy in the determination of ππ scattering parameters from K_{ℓ 4} experiments.

Citations

• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to ππ scattering
• Analysis and interpretation of new low-energy ππ scattering data
• Resonance contributions to the electromagnetic low energy constants of chiral perturbation theory
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Structure of Phenomenological Lagrangians. I
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Review of particle properties
• Review of Particle Physics
• Structure of Phenomenological Lagrangians. II
• Broken Symmetries