$K^+_{l3γ}$ decays revisited: branching ratios and T-odd momenta correlations

We calculate the branching ratios of the $K^+ \to π^0 l^+ ν_lγ(l = e, μ)$ decays, and the T-odd triple momenta correlations $ξ=\vec{q}\cdot[\vec{p}_l \times \vec{p}_π]/M^3_K$, due to the electromagnetic final state interaction, in these processes. The contributions on the order of $ω^{-1}$ and $ω^0$ to the corresponding amplitudes are treated exactly. For the branching ratios, the corrections on the order of $ω$ are estimated and demonstrated to be small. We compare the results with those of other authors. In some cases our results differ considerably from the previous ones.

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