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

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arxiv hep-ph/0306165 v2 pith:7I3F3TWZ submitted 2003-06-18 hep-ph

classification hep-ph
keywords axial-vectorchiralfactorsformgammaperturbationtheorytwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lattice Calculation of Light Meson Radiative Leptonic Decays

    hep-lat 2025-10 conditional novelty 5.0 of 10

    Lattice QCD calculation of branching ratios and form factors for π and K → ℓνℓγ decays at physical pion mass with IVR method, showing agreement with PIBETA for π→eνeγ and tensions with some kaon data.

  2. Real photon emissions in leptonic decays

    hep-lat 2019-08 conditional novelty 5.0 of 10

    A lattice QCD calculation extracts the structure-dependent form factors for radiative leptonic decays of kaons and D mesons, with preliminary results that agree qualitatively with chiral perturbation theory.

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