{ "id": "2307.02533", "version": "v1", "published": "2023-07-05T18:00:01.000Z", "updated": "2023-07-05T18:00:01.000Z", "title": "Correlations of $C$ and $CP$ violation in $η\\to π^0\\ell^+\\ell^-$ and $η'\\to η\\ell^+\\ell^-$", "authors": [ "Hakan Akdag", "Bastian Kubis", "Andreas Wirzba" ], "comment": "31 pages, 7 figures", "categories": [ "hep-ph", "hep-ex", "nucl-th" ], "abstract": "Based on recent progress in the systematic analysis of $C$ and $CP$ violation in the light-meson sector, we calculate the $C$-odd transition amplitudes $\\eta\\to\\pi^0\\ell^+\\ell^-$ and $\\eta'\\to\\eta\\ell^+\\ell^-$. Focusing on long-distance contributions driven by the lowest-lying hadronic intermediate states, we work out the correlations between these beyond-the-Standard-Model signals and the Dalitz-plot asymmetries in $\\eta \\rightarrow \\pi^0 \\pi^+ \\pi^-$ and $\\eta' \\rightarrow \\eta \\pi^+ \\pi^- $, using dispersion theory.", "revisions": [ { "version": "v1", "updated": "2023-07-05T18:00:01.000Z" } ], "analyses": { "keywords": [ "correlations", "odd transition amplitudes", "long-distance contributions driven", "lowest-lying hadronic intermediate states", "light-meson sector" ], "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable" } } }