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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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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.

fields

hep-lat 1

years

2025 1

verdicts

CONDITIONAL 1

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Lattice Calculation of Light Meson Radiative Leptonic Decays

hep-lat · 2025-10-30 · conditional · novelty 5.0

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.

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  • Lattice Calculation of Light Meson Radiative Leptonic Decays hep-lat · 2025-10-30 · conditional · none · ref 12 · internal anchor

    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.