$η^{(\prime)}\toπ^+π^-l^+l^-$ decays in the NJL model
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914367208947712 |
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| author | Volkov, M. K. Osipov, A. A. Nurlan, K. Pivovarov, A. A. |
| author_facet | Volkov, M. K. Osipov, A. A. Nurlan, K. Pivovarov, A. A. |
| contents | The branching ratios of dilepton anomalous decays $η^{(\prime)}\toπ^+π^-l^+l^-$, where $l=e,μ$, are calculated in the framework of the Nambu -- Jona-Lasinio model. Particular attention is paid to studying the hadronic perturbative part of the full decay amplitudes, parameterized by two low-energy constants $δ^{(\prime)}$ and $α^{(\prime)}$. It is shown that due to the mixing of $0^{-+}$--$1^{++}$ $(J^{PC})$ states, the NJL model does not allow one to calculate the low-energy parameter $δ^{(\prime)}$, which, however, can be fixed by the experimental data on the $η^{(\prime)}\to π^+π^-γ$ decay width. We then estimate another low-energy parameter $α^{(\prime)}$. The impact of different schemes for describing $η$-$η^\prime$ mixing on the value of $δ^{(\prime)}$ and $α^{(\prime)}$ is discussed. It is shown that the model predictions are in full accordance with the available experimental data. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_06958 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $η^{(\prime)}\toπ^+π^-l^+l^-$ decays in the NJL model Volkov, M. K. Osipov, A. A. Nurlan, K. Pivovarov, A. A. High Energy Physics - Phenomenology The branching ratios of dilepton anomalous decays $η^{(\prime)}\toπ^+π^-l^+l^-$, where $l=e,μ$, are calculated in the framework of the Nambu -- Jona-Lasinio model. Particular attention is paid to studying the hadronic perturbative part of the full decay amplitudes, parameterized by two low-energy constants $δ^{(\prime)}$ and $α^{(\prime)}$. It is shown that due to the mixing of $0^{-+}$--$1^{++}$ $(J^{PC})$ states, the NJL model does not allow one to calculate the low-energy parameter $δ^{(\prime)}$, which, however, can be fixed by the experimental data on the $η^{(\prime)}\to π^+π^-γ$ decay width. We then estimate another low-energy parameter $α^{(\prime)}$. The impact of different schemes for describing $η$-$η^\prime$ mixing on the value of $δ^{(\prime)}$ and $α^{(\prime)}$ is discussed. It is shown that the model predictions are in full accordance with the available experimental data. |
| title | $η^{(\prime)}\toπ^+π^-l^+l^-$ decays in the NJL model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.06958 |