{ "id": "2306.02810", "version": "v1", "published": "2023-06-05T12:04:28.000Z", "updated": "2023-06-05T12:04:28.000Z", "title": "Novel approach to investigate $η$ decays via $η'\\rightarrowππη$", "authors": [ "Xiaolin Kang", "Yuyao Ji", "Xiaoqing Yuan", "Benhou Xiang", "Xiaorong Zhou", "Haiping Peng", "Xingtao Huang", "Shuangshi Fang" ], "comment": "7 pages, 6 figures", "categories": [ "hep-ph", "hep-ex" ], "abstract": "To avoid the impact from the background events directly from $e^+e^-$ annihilations or $J/\\psi$ decays, we propose a novel approach to investigate $\\eta$ decays, in particular for its rare or forbidden decays, by using $\\eta^\\prime\\rightarrow\\pi\\pi\\eta$ produced in $J/\\psi$ decays at the $\\tau-$charm factories. Based on the MC studies of a few typical decays, $\\eta\\rightarrow \\pi\\pi$, $\\gamma l^+l^- (l= e, \\mu)$, $l^+l^-$, as well as $l^+l^-\\pi^0$, the sensitivities could be obviously improved by taking advantage of the extra constraint of $\\eta^\\prime$. Using one trillion $J/\\psi$ events accumulated at the Super $\\tau$-Charm facility, the precision on the investigation of $\\eta$ decays could be improved significantly and the observation of the rare decay $\\eta\\rightarrow e^+e^-$ is even accessable.", "revisions": [ { "version": "v1", "updated": "2023-06-05T12:04:28.000Z" } ], "analyses": { "keywords": [ "novel approach", "mc studies", "background events", "forbidden decays", "charm factories" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }