Axial-vector Form Factors for $K_{\ell 2γ}$ and $π_{\ell 2γ}$ at $O(p^6)$ in Chiral Perturbation Theory

C. Q. Geng; I-Lin Ho; T. H. Wu

doi:10.1016/j.nuclphysb.2003.12.039

paper

Axial-vector Form Factors for $K_{ℓ 2 γ}$ and $π_{ℓ 2 γ}$ at $O (p^{6})$ in Chiral Perturbation Theory

arXiv:hep-ph/0306165 · doi:10.1016/j.nuclphysb.2003.12.039

Abstract

We present two-loop calculations on the axial-vector form factors $F_{A}$ of semileptonic radiative kaon and pion decays in chiral perturbation theory. The relevant dimension-6 terms of the lagrangian are evaluated from the resonance contribution and the results of the irreducible two-loop graphs of the sunset topology are given in detail. We also explicitly show that the divergent parts in $F_{A}$ are cancelled exactly as required.

36 pages, 6 Figures, version to be published in Nucl. Phys. B

Axial-vector Form Factors for Kℓ2γ​ and πℓ2γ​ at O(p6) in Chiral Perturbation Theory

Abstract

Axial-vector Form Factors for $K_{ℓ 2 γ}$ and $π_{ℓ 2 γ}$ at $O (p^{6})$ in Chiral Perturbation Theory