Search for lepton-flavor-violating \(\tau\) decays into a lepton and a vector meson using the full Belle data sample

Charged-lepton-flavor-violation is predicted in several new physics scenarios. We update the analysis of \(\tau\) lepton decays into a light charged lepton (\(\ell\) = \(e^{\pm}\) or \(\mu^{\pm}\)) and a vector meson (\(V^0\) = \(\rho^0\), \(\phi\), \(\omega\), \(K^{\ast0}\), or \(\overline{K}{}^{\a...

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Veröffentlicht in:arXiv.org 2023-04
Hauptverfasser: Tsuzuki, N, Inami, K, Aihara, H, Asner, D M, Atmacan, H, Ayad, R, Banerjee, Sw, Behera, P, Bennett, J, Bessner, M, Bhuyan, B, Bilka, T, Biswas, D, Bodrov, D, Borah, J, Bračko, M, Branchini, P, Budano, A, Červenkov, D, M -C Chang, Chilikin, K, Cho, H E, S -J Cho, S -K Choi, Cinabro, D, Das, S, De Nardo, G, De Pietro, G, Dhamija, R, F Di Capua, Dong, T V, Ferlewicz, D, Giri, A, Guan, Y, Han, X, Herrmann, D, W -S Hou, Ipsita, N, Itoh, R, Kawasaki, T, Kim, D Y, K -H Kim, Korobov, A, Korpar, S, Kovalenko, E, Križan, P, Kumara, K, Kuzmin, A, Y Li, Lieret, K, Y -R Lin, Y Ma, Martini, A, Masuda, M, Matsuoka, K, Matvienko, D, Maurya, S K, Meier, F, Miyabayashi, K, Mizuk, R, Mohanty, G B, Natkaniec, Z, Natochii, A, Niiyama, M, Nisar, N K, Ogawa, S, Pakhlova, G, Pardi, S, Podobnik, T, Prim, M T, Rostomyan, A, Sandilya, S, Sangal, A, Santelj, L, Savinov, V, Schnell, G, Senyo, K, Sevior, M E, Shan, W, Shapkin, M, J -G Shiu, Solovieva, E, Starič, M, Takizawa, M, Tamponi, U, Tanida, K, Uchida, M, Uglov, T, Urquijo, P, Ushiroda, Y, Varner, G, Wang, D, Wang, E, Watanuki, S, Yabsley, B D, Yan, W, Yang, S B, Yook, Y, Yuan, L, Zhilich, V
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container_title arXiv.org
container_volume
creator Tsuzuki, N
Inami, K
Aihara, H
Asner, D M
Atmacan, H
Ayad, R
Banerjee, Sw
Behera, P
Bennett, J
Bessner, M
Bhuyan, B
Bilka, T
Biswas, D
Bodrov, D
Borah, J
Bračko, M
Branchini, P
Budano, A
Červenkov, D
M -C Chang
Chilikin, K
Cho, H E
S -J Cho
S -K Choi
Cinabro, D
Das, S
De Nardo, G
De Pietro, G
Dhamija, R
F Di Capua
Dong, T V
Ferlewicz, D
Giri, A
Guan, Y
Han, X
Herrmann, D
W -S Hou
Ipsita, N
Itoh, R
Kawasaki, T
Kim, D Y
K -H Kim
Korobov, A
Korpar, S
Kovalenko, E
Križan, P
Kumara, K
Kuzmin, A
Y Li
Lieret, K
Y -R Lin
Y Ma
Martini, A
Masuda, M
Matsuoka, K
Matvienko, D
Maurya, S K
Meier, F
Miyabayashi, K
Mizuk, R
Mohanty, G B
Natkaniec, Z
Natochii, A
Niiyama, M
Nisar, N K
Ogawa, S
Pakhlova, G
Pardi, S
Podobnik, T
Prim, M T
Rostomyan, A
Sandilya, S
Sangal, A
Santelj, L
Savinov, V
Schnell, G
Senyo, K
Sevior, M E
Shan, W
Shapkin, M
J -G Shiu
Solovieva, E
Starič, M
Takizawa, M
Tamponi, U
Tanida, K
Uchida, M
Uglov, T
Urquijo, P
Ushiroda, Y
Varner, G
Wang, D
Wang, E
Watanuki, S
Yabsley, B D
Yan, W
Yang, S B
Yook, Y
Yuan, L
Zhilich, V
description Charged-lepton-flavor-violation is predicted in several new physics scenarios. We update the analysis of \(\tau\) lepton decays into a light charged lepton (\(\ell\) = \(e^{\pm}\) or \(\mu^{\pm}\)) and a vector meson (\(V^0\) = \(\rho^0\), \(\phi\), \(\omega\), \(K^{\ast0}\), or \(\overline{K}{}^{\ast0}\)) using 980 fb\(^{-1}\) of data collected with the Belle detector at the KEKB collider. No significant excess of such signal events is observed, and thus 90% credibility level upper limits are set on the \(\tau \rightarrow \ell V^0\) branching fractions in the range of (1.7--\(4.3) \times 10^{-8}\). These limits are improved by 30% on average from the previous results.
doi_str_mv 10.48550/arxiv.2301.03768
format Article
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We update the analysis of \(\tau\) lepton decays into a light charged lepton (\(\ell\) = \(e^{\pm}\) or \(\mu^{\pm}\)) and a vector meson (\(V^0\) = \(\rho^0\), \(\phi\), \(\omega\), \(K^{\ast0}\), or \(\overline{K}{}^{\ast0}\)) using 980 fb\(^{-1}\) of data collected with the Belle detector at the KEKB collider. No significant excess of such signal events is observed, and thus 90% credibility level upper limits are set on the \(\tau \rightarrow \ell V^0\) branching fractions in the range of (1.7--\(4.3) \times 10^{-8}\). These limits are improved by 30% on average from the previous results.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2301.03768</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Flavors ; Leptons ; Vector mesons</subject><ispartof>arXiv.org, 2023-04</ispartof><rights>2023. 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We update the analysis of \(\tau\) lepton decays into a light charged lepton (\(\ell\) = \(e^{\pm}\) or \(\mu^{\pm}\)) and a vector meson (\(V^0\) = \(\rho^0\), \(\phi\), \(\omega\), \(K^{\ast0}\), or \(\overline{K}{}^{\ast0}\)) using 980 fb\(^{-1}\) of data collected with the Belle detector at the KEKB collider. No significant excess of such signal events is observed, and thus 90% credibility level upper limits are set on the \(\tau \rightarrow \ell V^0\) branching fractions in the range of (1.7--\(4.3) \times 10^{-8}\). These limits are improved by 30% on average from the previous results.</description><subject>Flavors</subject><subject>Leptons</subject><subject>Vector mesons</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNqNjM1Kw0AUhYeCYNE-gLsLbnSRdDIz-XGrKO7bZaBckhubcjuTzk_QtzdCH8DV4ZzznSPEQyFz05Sl3KL_HudcaVnkUtdVsxJrpXWRNUapW7EJ4SSlVFWtylKvRdwR-u4Ig_PANEVns4Fxdj6bR8cYR_sF7VMbMbXP0FOHPwFGGx3gFQe0_WJm6uJycaawRCn8zeKRYEjM8ErMBD1GhIDniele3AzIgTZXvROPH-_7t89s8u6SKMTDySVvl-qg6srUL8Y0Uv-P-gXXglHI</recordid><startdate>20230418</startdate><enddate>20230418</enddate><creator>Tsuzuki, N</creator><creator>Inami, K</creator><creator>Aihara, H</creator><creator>Asner, D M</creator><creator>Atmacan, H</creator><creator>Ayad, R</creator><creator>Banerjee, Sw</creator><creator>Behera, P</creator><creator>Bennett, J</creator><creator>Bessner, M</creator><creator>Bhuyan, B</creator><creator>Bilka, T</creator><creator>Biswas, D</creator><creator>Bodrov, D</creator><creator>Borah, J</creator><creator>Bračko, M</creator><creator>Branchini, P</creator><creator>Budano, A</creator><creator>Červenkov, D</creator><creator>M -C Chang</creator><creator>Chilikin, K</creator><creator>Cho, H E</creator><creator>S -J Cho</creator><creator>S -K Choi</creator><creator>Cinabro, D</creator><creator>Das, S</creator><creator>De Nardo, G</creator><creator>De Pietro, G</creator><creator>Dhamija, R</creator><creator>F Di Capua</creator><creator>Dong, T V</creator><creator>Ferlewicz, D</creator><creator>Giri, A</creator><creator>Guan, Y</creator><creator>Han, X</creator><creator>Herrmann, D</creator><creator>W -S Hou</creator><creator>Ipsita, N</creator><creator>Itoh, R</creator><creator>Kawasaki, T</creator><creator>Kim, D Y</creator><creator>K -H Kim</creator><creator>Korobov, A</creator><creator>Korpar, S</creator><creator>Kovalenko, E</creator><creator>Križan, P</creator><creator>Kumara, K</creator><creator>Kuzmin, A</creator><creator>Y Li</creator><creator>Lieret, K</creator><creator>Y -R Lin</creator><creator>Y Ma</creator><creator>Martini, A</creator><creator>Masuda, M</creator><creator>Matsuoka, K</creator><creator>Matvienko, D</creator><creator>Maurya, S K</creator><creator>Meier, F</creator><creator>Miyabayashi, K</creator><creator>Mizuk, R</creator><creator>Mohanty, G B</creator><creator>Natkaniec, Z</creator><creator>Natochii, A</creator><creator>Niiyama, M</creator><creator>Nisar, N K</creator><creator>Ogawa, S</creator><creator>Pakhlova, G</creator><creator>Pardi, S</creator><creator>Podobnik, T</creator><creator>Prim, M T</creator><creator>Rostomyan, A</creator><creator>Sandilya, S</creator><creator>Sangal, A</creator><creator>Santelj, L</creator><creator>Savinov, V</creator><creator>Schnell, G</creator><creator>Senyo, K</creator><creator>Sevior, M E</creator><creator>Shan, W</creator><creator>Shapkin, M</creator><creator>J -G Shiu</creator><creator>Solovieva, E</creator><creator>Starič, M</creator><creator>Takizawa, M</creator><creator>Tamponi, U</creator><creator>Tanida, K</creator><creator>Uchida, M</creator><creator>Uglov, T</creator><creator>Urquijo, P</creator><creator>Ushiroda, Y</creator><creator>Varner, G</creator><creator>Wang, D</creator><creator>Wang, E</creator><creator>Watanuki, S</creator><creator>Yabsley, B D</creator><creator>Yan, W</creator><creator>Yang, S B</creator><creator>Yook, Y</creator><creator>Yuan, L</creator><creator>Zhilich, V</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20230418</creationdate><title>Search for lepton-flavor-violating \(\tau\) decays into a lepton and a vector meson using the full Belle data sample</title><author>Tsuzuki, N ; Inami, K ; Aihara, H ; Asner, D M ; Atmacan, H ; Ayad, R ; Banerjee, Sw ; Behera, P ; Bennett, J ; Bessner, M ; Bhuyan, B ; Bilka, T ; Biswas, D ; Bodrov, D ; Borah, J ; Bračko, M ; Branchini, P ; Budano, A ; Červenkov, D ; M -C Chang ; Chilikin, K ; Cho, H E ; S -J Cho ; S -K Choi ; Cinabro, D ; Das, S ; De Nardo, G ; De Pietro, G ; Dhamija, R ; F Di Capua ; Dong, T V ; Ferlewicz, D ; Giri, A ; Guan, Y ; Han, X ; Herrmann, D ; W -S Hou ; Ipsita, N ; Itoh, R ; Kawasaki, T ; Kim, D Y ; K -H Kim ; Korobov, A ; Korpar, S ; Kovalenko, E ; Križan, P ; Kumara, K ; Kuzmin, A ; Y Li ; Lieret, K ; Y -R Lin ; Y Ma ; Martini, A ; Masuda, M ; Matsuoka, K ; Matvienko, D ; Maurya, S K ; Meier, F ; Miyabayashi, K ; Mizuk, R ; Mohanty, G B ; Natkaniec, Z ; Natochii, A ; Niiyama, M ; Nisar, N K ; Ogawa, S ; Pakhlova, G ; Pardi, S ; Podobnik, T ; Prim, M T ; Rostomyan, A ; Sandilya, S ; Sangal, A ; Santelj, L ; Savinov, V ; Schnell, G ; Senyo, K ; Sevior, M E ; Shan, W ; Shapkin, M ; J -G Shiu ; Solovieva, E ; Starič, M ; Takizawa, M ; Tamponi, U ; Tanida, K ; Uchida, M ; Uglov, T ; Urquijo, P ; Ushiroda, Y ; Varner, G ; Wang, D ; Wang, E ; Watanuki, S ; Yabsley, B D ; Yan, W ; Yang, S B ; Yook, Y ; Yuan, L ; Zhilich, V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_27647944803</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Flavors</topic><topic>Leptons</topic><topic>Vector mesons</topic><toplevel>online_resources</toplevel><creatorcontrib>Tsuzuki, N</creatorcontrib><creatorcontrib>Inami, K</creatorcontrib><creatorcontrib>Aihara, H</creatorcontrib><creatorcontrib>Asner, D M</creatorcontrib><creatorcontrib>Atmacan, H</creatorcontrib><creatorcontrib>Ayad, R</creatorcontrib><creatorcontrib>Banerjee, Sw</creatorcontrib><creatorcontrib>Behera, P</creatorcontrib><creatorcontrib>Bennett, J</creatorcontrib><creatorcontrib>Bessner, M</creatorcontrib><creatorcontrib>Bhuyan, B</creatorcontrib><creatorcontrib>Bilka, T</creatorcontrib><creatorcontrib>Biswas, D</creatorcontrib><creatorcontrib>Bodrov, D</creatorcontrib><creatorcontrib>Borah, J</creatorcontrib><creatorcontrib>Bračko, M</creatorcontrib><creatorcontrib>Branchini, P</creatorcontrib><creatorcontrib>Budano, A</creatorcontrib><creatorcontrib>Červenkov, D</creatorcontrib><creatorcontrib>M -C Chang</creatorcontrib><creatorcontrib>Chilikin, K</creatorcontrib><creatorcontrib>Cho, H E</creatorcontrib><creatorcontrib>S -J Cho</creatorcontrib><creatorcontrib>S -K Choi</creatorcontrib><creatorcontrib>Cinabro, D</creatorcontrib><creatorcontrib>Das, S</creatorcontrib><creatorcontrib>De Nardo, G</creatorcontrib><creatorcontrib>De Pietro, G</creatorcontrib><creatorcontrib>Dhamija, R</creatorcontrib><creatorcontrib>F Di Capua</creatorcontrib><creatorcontrib>Dong, T V</creatorcontrib><creatorcontrib>Ferlewicz, D</creatorcontrib><creatorcontrib>Giri, A</creatorcontrib><creatorcontrib>Guan, Y</creatorcontrib><creatorcontrib>Han, X</creatorcontrib><creatorcontrib>Herrmann, D</creatorcontrib><creatorcontrib>W -S Hou</creatorcontrib><creatorcontrib>Ipsita, N</creatorcontrib><creatorcontrib>Itoh, R</creatorcontrib><creatorcontrib>Kawasaki, T</creatorcontrib><creatorcontrib>Kim, D Y</creatorcontrib><creatorcontrib>K -H Kim</creatorcontrib><creatorcontrib>Korobov, A</creatorcontrib><creatorcontrib>Korpar, S</creatorcontrib><creatorcontrib>Kovalenko, E</creatorcontrib><creatorcontrib>Križan, P</creatorcontrib><creatorcontrib>Kumara, K</creatorcontrib><creatorcontrib>Kuzmin, A</creatorcontrib><creatorcontrib>Y Li</creatorcontrib><creatorcontrib>Lieret, K</creatorcontrib><creatorcontrib>Y -R Lin</creatorcontrib><creatorcontrib>Y Ma</creatorcontrib><creatorcontrib>Martini, A</creatorcontrib><creatorcontrib>Masuda, M</creatorcontrib><creatorcontrib>Matsuoka, K</creatorcontrib><creatorcontrib>Matvienko, D</creatorcontrib><creatorcontrib>Maurya, S K</creatorcontrib><creatorcontrib>Meier, F</creatorcontrib><creatorcontrib>Miyabayashi, K</creatorcontrib><creatorcontrib>Mizuk, R</creatorcontrib><creatorcontrib>Mohanty, G B</creatorcontrib><creatorcontrib>Natkaniec, Z</creatorcontrib><creatorcontrib>Natochii, A</creatorcontrib><creatorcontrib>Niiyama, M</creatorcontrib><creatorcontrib>Nisar, N K</creatorcontrib><creatorcontrib>Ogawa, S</creatorcontrib><creatorcontrib>Pakhlova, G</creatorcontrib><creatorcontrib>Pardi, S</creatorcontrib><creatorcontrib>Podobnik, T</creatorcontrib><creatorcontrib>Prim, M T</creatorcontrib><creatorcontrib>Rostomyan, A</creatorcontrib><creatorcontrib>Sandilya, S</creatorcontrib><creatorcontrib>Sangal, A</creatorcontrib><creatorcontrib>Santelj, L</creatorcontrib><creatorcontrib>Savinov, V</creatorcontrib><creatorcontrib>Schnell, G</creatorcontrib><creatorcontrib>Senyo, K</creatorcontrib><creatorcontrib>Sevior, M E</creatorcontrib><creatorcontrib>Shan, W</creatorcontrib><creatorcontrib>Shapkin, M</creatorcontrib><creatorcontrib>J -G Shiu</creatorcontrib><creatorcontrib>Solovieva, E</creatorcontrib><creatorcontrib>Starič, M</creatorcontrib><creatorcontrib>Takizawa, M</creatorcontrib><creatorcontrib>Tamponi, U</creatorcontrib><creatorcontrib>Tanida, K</creatorcontrib><creatorcontrib>Uchida, M</creatorcontrib><creatorcontrib>Uglov, T</creatorcontrib><creatorcontrib>Urquijo, P</creatorcontrib><creatorcontrib>Ushiroda, Y</creatorcontrib><creatorcontrib>Varner, G</creatorcontrib><creatorcontrib>Wang, D</creatorcontrib><creatorcontrib>Wang, E</creatorcontrib><creatorcontrib>Watanuki, S</creatorcontrib><creatorcontrib>Yabsley, B D</creatorcontrib><creatorcontrib>Yan, W</creatorcontrib><creatorcontrib>Yang, S B</creatorcontrib><creatorcontrib>Yook, Y</creatorcontrib><creatorcontrib>Yuan, L</creatorcontrib><creatorcontrib>Zhilich, V</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tsuzuki, N</au><au>Inami, K</au><au>Aihara, H</au><au>Asner, D M</au><au>Atmacan, H</au><au>Ayad, R</au><au>Banerjee, Sw</au><au>Behera, P</au><au>Bennett, J</au><au>Bessner, M</au><au>Bhuyan, B</au><au>Bilka, T</au><au>Biswas, D</au><au>Bodrov, D</au><au>Borah, J</au><au>Bračko, M</au><au>Branchini, P</au><au>Budano, A</au><au>Červenkov, D</au><au>M -C Chang</au><au>Chilikin, K</au><au>Cho, H E</au><au>S -J Cho</au><au>S -K Choi</au><au>Cinabro, D</au><au>Das, S</au><au>De Nardo, G</au><au>De Pietro, G</au><au>Dhamija, R</au><au>F Di Capua</au><au>Dong, T V</au><au>Ferlewicz, D</au><au>Giri, A</au><au>Guan, Y</au><au>Han, X</au><au>Herrmann, D</au><au>W -S Hou</au><au>Ipsita, N</au><au>Itoh, R</au><au>Kawasaki, T</au><au>Kim, D Y</au><au>K -H Kim</au><au>Korobov, A</au><au>Korpar, S</au><au>Kovalenko, E</au><au>Križan, P</au><au>Kumara, K</au><au>Kuzmin, A</au><au>Y Li</au><au>Lieret, K</au><au>Y -R Lin</au><au>Y Ma</au><au>Martini, A</au><au>Masuda, M</au><au>Matsuoka, K</au><au>Matvienko, D</au><au>Maurya, S K</au><au>Meier, F</au><au>Miyabayashi, K</au><au>Mizuk, R</au><au>Mohanty, G B</au><au>Natkaniec, Z</au><au>Natochii, A</au><au>Niiyama, M</au><au>Nisar, N K</au><au>Ogawa, S</au><au>Pakhlova, G</au><au>Pardi, S</au><au>Podobnik, T</au><au>Prim, M T</au><au>Rostomyan, A</au><au>Sandilya, S</au><au>Sangal, A</au><au>Santelj, L</au><au>Savinov, V</au><au>Schnell, G</au><au>Senyo, K</au><au>Sevior, M E</au><au>Shan, W</au><au>Shapkin, M</au><au>J -G Shiu</au><au>Solovieva, E</au><au>Starič, M</au><au>Takizawa, M</au><au>Tamponi, U</au><au>Tanida, K</au><au>Uchida, M</au><au>Uglov, T</au><au>Urquijo, P</au><au>Ushiroda, Y</au><au>Varner, G</au><au>Wang, D</au><au>Wang, E</au><au>Watanuki, S</au><au>Yabsley, B D</au><au>Yan, W</au><au>Yang, S B</au><au>Yook, Y</au><au>Yuan, L</au><au>Zhilich, V</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Search for lepton-flavor-violating \(\tau\) decays into a lepton and a vector meson using the full Belle data sample</atitle><jtitle>arXiv.org</jtitle><date>2023-04-18</date><risdate>2023</risdate><eissn>2331-8422</eissn><abstract>Charged-lepton-flavor-violation is predicted in several new physics scenarios. We update the analysis of \(\tau\) lepton decays into a light charged lepton (\(\ell\) = \(e^{\pm}\) or \(\mu^{\pm}\)) and a vector meson (\(V^0\) = \(\rho^0\), \(\phi\), \(\omega\), \(K^{\ast0}\), or \(\overline{K}{}^{\ast0}\)) using 980 fb\(^{-1}\) of data collected with the Belle detector at the KEKB collider. No significant excess of such signal events is observed, and thus 90% credibility level upper limits are set on the \(\tau \rightarrow \ell V^0\) branching fractions in the range of (1.7--\(4.3) \times 10^{-8}\). These limits are improved by 30% on average from the previous results.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2301.03768</doi><oa>free_for_read</oa></addata></record>
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subjects Flavors
Leptons
Vector mesons
title Search for lepton-flavor-violating \(\tau\) decays into a lepton and a vector meson using the full Belle data sample
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