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

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

2003-06-18

arxiv.org/abs/hep-ph/0306165v2

Nucl.Phys. B684 (2004) 281-317

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.nuclphysb.2003.12.039

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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