Kl4 decays beyond one loop

1994/03/30 by J. Bijnens, Johan Bijnens, G. Colangelo +2 · 6 citations
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Combinatorics #Dispersion (optics) #Dispersion relation #Elastic scattering #Energy (signal processing) #Form factor (electronics) #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematics #Matrix (chemical analysis) #Nuclear physics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #hep-ph

paper · pdf · doi:10.1016/0550-3213(94)90634-3

published as Nucl.Phys.B427:427-454,1994 · 31 pages, LaTex, 3 figs. (two figures appended as postscript file), BUTP-94/4,ROMF2 94/05

arxiv created 1994/03/30 · openalex publication_date 1994/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The matrix elements for K→ ππłν decays are described by four form factors F,G,H and R. We complete previous calculations by evaluating R at next-to-leading order in the low-energy expansion. We then estimate higher order contributions using dispersion relations and determine the low-energy constants L₁,L₂ and L₃ from data on K_e4 decays and on elastic pion scattering. Finally, we present predictions for the slope of the form factor G and for total decay rates.

Citations

• Global aspects of current algebra
• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Evaluation of the derivative quartic terms of the meson chiral Lagrangian from forward dispersion relations
• Phenomenological Lagrangians

Cited by

• Kaon decays in the standard model
• Identify hadron anomalous couplings at colliders
• form-factors and – scattering
• Inverse amplitude method and chiral perturbation theory to two loops
• New method for fitting the low-energy constants in chiral perturbation theory
• Low-energy photon-photon fusion into three pions in generalized chiral perturbation theory