Isospin breaking in Kπ vector form-factors for the weak and rare decays K_ℓ3, K→πνν and K→πℓ⁺ℓ^-

2007/11/01 by Johan Bijnens, Bijnens, Johan, Karim Ghorbani +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · doi:10.48550/arxiv.0711.0148

openalex publication_date 2007/11/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We calculate the two form-factors for the four Kaon to pion transitions via a vector current to order p⁶ in Chiral Perturbation Theory to first order in isospin breaking via the quark masses. In addition we derive relations between these form-factors valid to first order in the up-down quark-mass difference but to all orders in Chiral Perturbation Theory. We present numerical results for all eight form-factors at t=0 and for varying t and for the scalar form-factors at the Callan-Treiman point.

Related

• Isospin Breaking in K_{ℓ 4} Decays of the Charged Kaon
• Isospin breaking in pion and K_e4 form factors
• Form Factors of Kaon Semileptonic Decays
• Near-threshold Isospin Violation in the Pion Form Factor from Chiral Perturbation Theory
• On some aspects of isospin breaking in the decay K^pm → π⁰ π⁰ e^± \stackrel_(-)ν_e