{"title":"Decays \\(\\tau \\rightarrow f_0(\\pi ,K) \\nu _\\tau \\) and \\(\\tau \\rightarrow 3 \\pi \\nu _\\tau \\) accounting for the contribution of \\(f_0(500)\\)","authors":"M. K. Volkov, A. A. Pivovarov, K. Nurlan","doi":"10.1140/epja/s10050-025-01531-7","DOIUrl":null,"url":null,"abstract":"<div><p>In the <span>\\(U(3) \\times U(3)\\)</span> quark NJL model, <span>\\(\\tau \\)</span> lepton decays with the production of scalar mesons <span>\\(f_0(\\pi ,K)\\)</span> and neutrinos are studied, where <span>\\(f_0=f_0(500), f_0(980)\\)</span>. It is shown that these decays mainly occur via contact channels and channels with axial-vector mesons <span>\\(a_1(1260)\\)</span>, <span>\\(K_1(1270)\\)</span> and <span>\\(K_1(1400)\\)</span>. All mesons are considered as quark-antiquark states in this case. The obtained results can be considered as predictions for future experiments. The obtained estimates for the branching fractions of the <span>\\(\\tau \\rightarrow \\pi ^-2\\pi ^0 \\nu _\\tau \\)</span> decay taking into account the contributions of the <span>\\(\\rho \\pi \\)</span> and <span>\\(f_0(500)\\pi \\)</span> states are in satisfactory agreement with experimental data.</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"61 3","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal A","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epja/s10050-025-01531-7","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
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Abstract
In the \(U(3) \times U(3)\) quark NJL model, \(\tau \) lepton decays with the production of scalar mesons \(f_0(\pi ,K)\) and neutrinos are studied, where \(f_0=f_0(500), f_0(980)\). It is shown that these decays mainly occur via contact channels and channels with axial-vector mesons \(a_1(1260)\), \(K_1(1270)\) and \(K_1(1400)\). All mesons are considered as quark-antiquark states in this case. The obtained results can be considered as predictions for future experiments. The obtained estimates for the branching fractions of the \(\tau \rightarrow \pi ^-2\pi ^0 \nu _\tau \) decay taking into account the contributions of the \(\rho \pi \) and \(f_0(500)\pi \) states are in satisfactory agreement with experimental data.
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