Predictions for the rare kaon decays $K_{S,L} \to π^0 \ell^+ \ell^-$ from QCD in the limit of a large number of colours
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909314455699456 |
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| author | D'Ambrosio, Giancarlo Knecht, Marc |
| author_facet | D'Ambrosio, Giancarlo Knecht, Marc |
| contents | The long-distance and non-local parts of the form factors describing the single-photon mediated $K_{S,L}\toπ^0γ^*\toπ^0\ell^+\ell^-$ ($\ell = e, μ$) transitions in the standard model are addressed in QCD in the limit where the number $N_c$ of colours becomes infinite. It is shown that this provides a suitable theoretical framework to study these decay modes and that it allows to predict the decay rates for $K_{S}\toπ^0\ell^+\ell^-$. It also unambiguously predicts that the interference between the direct and indirect CP-violating contributions to the decay rate for $K_L\toπ^0 \ell^+ \ell^-$ is constructive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Predictions for the rare kaon decays $K_{S,L} \to π^0 \ell^+ \ell^-$ from QCD in the limit of a large number of colours D'Ambrosio, Giancarlo Knecht, Marc High Energy Physics - Phenomenology High Energy Physics - Experiment The long-distance and non-local parts of the form factors describing the single-photon mediated $K_{S,L}\toπ^0γ^*\toπ^0\ell^+\ell^-$ ($\ell = e, μ$) transitions in the standard model are addressed in QCD in the limit where the number $N_c$ of colours becomes infinite. It is shown that this provides a suitable theoretical framework to study these decay modes and that it allows to predict the decay rates for $K_{S}\toπ^0\ell^+\ell^-$. It also unambiguously predicts that the interference between the direct and indirect CP-violating contributions to the decay rate for $K_L\toπ^0 \ell^+ \ell^-$ is constructive. |
| title | Predictions for the rare kaon decays $K_{S,L} \to π^0 \ell^+ \ell^-$ from QCD in the limit of a large number of colours |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2409.08568 |