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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.18909 |
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| _version_ | 1866914213743558656 |
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| author | Bansal, Anshika Jenkins, Jack Winney, Daniel |
| author_facet | Bansal, Anshika Jenkins, Jack Winney, Daniel |
| contents | We study dispersive representations of nonlocal form factors in $K^+ \to π^+ \ell^+ \ell^-$ and $K^+ \to π^+ ν\barν$ decays, with an aim of improving the theoretical description of the spectrum and decay rate of the neutrino mode. Based on unitarity, these representations invoke the $K^+ π^- \to π^+ π^-$ amplitude in $P$-wave and the pion vector form factor. The $P$-wave amplitude can be effectively parameterized within the dispersive Khuri-Treiman framework, and constrained by experimental information on the CP-conserving $K^+ \to π^+ π^+ π^-$ and $K^+ \to π^0 π^0 π^+$ decays. We also emphasize certain relations between charged-lepton and neutrino non-local form factors based on the Operator Product Expansion, which can be used to impose further phenomenological constraints. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18909 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Application of $K \to 3π$ amplitudes to semileptonic kaon decays Bansal, Anshika Jenkins, Jack Winney, Daniel High Energy Physics - Phenomenology We study dispersive representations of nonlocal form factors in $K^+ \to π^+ \ell^+ \ell^-$ and $K^+ \to π^+ ν\barν$ decays, with an aim of improving the theoretical description of the spectrum and decay rate of the neutrino mode. Based on unitarity, these representations invoke the $K^+ π^- \to π^+ π^-$ amplitude in $P$-wave and the pion vector form factor. The $P$-wave amplitude can be effectively parameterized within the dispersive Khuri-Treiman framework, and constrained by experimental information on the CP-conserving $K^+ \to π^+ π^+ π^-$ and $K^+ \to π^0 π^0 π^+$ decays. We also emphasize certain relations between charged-lepton and neutrino non-local form factors based on the Operator Product Expansion, which can be used to impose further phenomenological constraints. |
| title | Application of $K \to 3π$ amplitudes to semileptonic kaon decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.18909 |