$K^0_{l3γ}$ decays: branching ratios and T-odd momenta correlations

Details $K^0_{l3γ}$ decays: branching ratios and T-odd momenta correlations $K^0_{l3γ}$ decays: branching ratios and T-odd momenta correlations

2011-04-28

arxiv.org/abs/1104.5459v2

Phys.Rev.D84:016001,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 10 figures

Scientific paper

10.1103/PhysRevD.84.016001

The branching ratios of the $K^0 \to \pi^- l^+ \nu_l \gamma (l = e, \mu)$ decays, and the T-odd triple momenta correlations $\xi=\vec{q}\cdot[\vec{p}_l \times \vec{p}_\pi]/M^3_K$, due to the electromagnetic final state interaction, in these processes are calculated. The contributions on the order of $\omega^{-1}$ and $\omega^0$ to the corresponding amplitudes are treated exactly. For the branching ratios and T-odd correlation in $K^0 \to \pi^- e^+ \nu_e \gamma$ decay, the corrections on the order of $\omega$ are estimated and demonstrated to be small. The results for the branching ratios are in good agreement with the previous ones. The T-odd triple momenta correlations in $K^0_{l3\gamma}$ decays are calculated for the first time. The values of the $\xi$-odd asymmetry are on the order of $10^{-3}$ and $10^{-2}$ in the $K^0 \to \pi^- \mu^+ \nu_\mu \gamma$ and $K^0 \to \pi^- e^+ \nu_e\gamma$ decays, respectively.

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