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arXiv · hep-ph/0306165

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

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.

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C. Q. Geng, I-Lin Ho, T. H. Wu. 2004-01-14. Axial-vector Form Factors for $K_{\ell 2γ}$ and $π_{\ell 2γ}$ at $O(p^6)$ in Chiral Perturbation Theory. https://doi.org/10.1016/j.nuclphysb.2003.12.039

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