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Abstract
We report a measurement of the electric dipole moment of the τ lepton (dτ) using an 833 fb−1 data sample collected near the Υ(4S) resonance, with the Belle detector at the KEKB asymmetric-energy e+e− collider. Using an optimal observable method, we obtain the real and imaginary parts of dτ as Re(dτ) = (−0.62 ± 0.63) × 10−17ecm and Im(dτ) = (−0.40 ± 0.32) × 10−17ecm, respectively. These results are consistent with null electric dipole moment at the present level of experimental sensitivity and improve the sensitivity by about a factor of three.
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1 Nagoya University, Graduate School of Science, Nagoya, Japan (GRID:grid.27476.30) (ISNI:0000 0001 0943 978X)
2 Niigata University, Niigata, Japan (GRID:grid.260975.f) (ISNI:0000 0001 0671 5144)
3 High Energy Accelerator Research Organization (KEK), Tsukuba, Japan (GRID:grid.410794.f) (ISNI:0000 0001 2155 959X); SOKENDAI (The Graduate University for Advanced Studies), Hayama, Japan (GRID:grid.275033.0) (ISNI:0000 0004 1763 208X)
4 University of Tokyo, Department of Physics, Tokyo, Japan (GRID:grid.26999.3d) (ISNI:0000 0001 2151 536X)
5 University of Tabuk, Department of Physics, Faculty of Science, Tabuk, Saudi Arabia (GRID:grid.440760.1) (ISNI:0000 0004 0419 5685); King Abdulaziz University, Department of Physics, Faculty of Science, Jeddah, Saudi Arabia (GRID:grid.412125.1) (ISNI:0000 0001 0619 1117)
6 Brookhaven National Laboratory, Upton, U.S.A. (GRID:grid.202665.5) (ISNI:0000 0001 2188 4229)
7 Budker Institute of Nuclear Physics SB RAS, Novosibirsk, Russian Federation (GRID:grid.418495.5) (ISNI:0000 0001 0790 5468); Novosibirsk State University, Novosibirsk, Russian Federation (GRID:grid.4605.7) (ISNI:0000000121896553)
8 Higher School of Economics (HSE), Moscow, Russian Federation (GRID:grid.410682.9) (ISNI:0000 0004 0578 2005)
9 University of Tabuk, Department of Physics, Faculty of Science, Tabuk, Saudi Arabia (GRID:grid.440760.1) (ISNI:0000 0004 0419 5685)
10 Deutsches Elektronen-Synchrotron, Hamburg, Germany (GRID:grid.7683.a) (ISNI:0000 0004 0492 0453)
11 Indian Institute of Technology Bhubaneswar, Satya Nagar, India (GRID:grid.459611.e) (ISNI:0000 0004 1774 3038)
12 Indian Institute of Technology Madras, Chennai, India (GRID:grid.417969.4) (ISNI:0000 0001 2315 1926)
13 University of Hawaii, Honolulu, U.S.A. (GRID:grid.410445.0) (ISNI:0000 0001 2188 0957)
14 Indian Institute of Technology Guwahati, Assam, India (GRID:grid.417972.e) (ISNI:0000 0001 1887 8311)
15 Charles University, Faculty of Mathematics and Physics, Prague, Czech Republic (GRID:grid.4491.8) (ISNI:0000 0004 1937 116X)
16 J. Stefan Institute, Ljubljana, Slovenia (GRID:grid.11375.31) (ISNI:0000 0001 0706 0012)
17 Wayne State University, Detroit, U.S.A. (GRID:grid.254444.7) (ISNI:0000 0001 1456 7807)
18 H. Niewodniczanski Institute of Nuclear Physics, Krakow, Poland (GRID:grid.418860.3) (ISNI:0000 0001 0942 8941)
19 University of Maribor, Faculty of Chemistry and Chemical Engineering, Maribor, Slovenia (GRID:grid.8647.d) (ISNI:0000 0004 0637 0731)
20 INFN — Sezione di Napoli, Napoli, Italy (GRID:grid.470211.1) (ISNI:0000 0004 8343 7696); Università di Napoli Federico II, Napoli, Italy (GRID:grid.4691.a) (ISNI:0000 0001 0790 385X)
21 Hanyang University, Department of Physics and Institute of Natural Sciences, Seoul, South Korea (GRID:grid.49606.3d) (ISNI:0000 0001 1364 9317)
22 P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation (GRID:grid.425806.d) (ISNI:0000 0001 0656 6476)
23 Korea Institute of Science and Technology Information, Daejeon, South Korea (GRID:grid.249964.4) (ISNI:0000 0001 0523 5253)
24 Sungkyunkwan University, Suwon, South Korea (GRID:grid.264381.a) (ISNI:0000 0001 2181 989X)
25 Indian Institute of Technology Hyderabad, Telangana, India (GRID:grid.459612.d) (ISNI:0000 0004 1767 065X)
26 Malaviya National Institute of Technology Jaipur, Jaipur, India (GRID:grid.444471.6) (ISNI:0000 0004 1764 2536)
27 Fudan University, Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Shanghai, P.R. China (GRID:grid.8547.e) (ISNI:0000 0001 0125 2443)
28 Budker Institute of Nuclear Physics SB RAS, Novosibirsk, Russian Federation (GRID:grid.418495.5) (ISNI:0000 0001 0790 5468); Novosibirsk State University, Novosibirsk, Russian Federation (GRID:grid.4605.7) (ISNI:0000000121896553); P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation (GRID:grid.425806.d) (ISNI:0000 0001 0656 6476)
29 Pacific Northwest National Laboratory, Richland, U.S.A. (GRID:grid.451303.0) (ISNI:0000 0001 2218 3491)
30 Panjab University, Chandigarh, India (GRID:grid.261674.0) (ISNI:0000 0001 2174 5640)
31 Virginia Polytechnic Institute and State University, Blacksburg, U.S.A. (GRID:grid.438526.e) (ISNI:0000 0001 0694 4940)
32 Karlsruher Institut für Technologie, Institut für Experimentelle Teilchenphysik, Karlsruhe, Germany (GRID:grid.7892.4) (ISNI:0000 0001 0075 5874)
33 University of Ljubljana, Faculty of Mathematics and Physics, Ljubljana, Slovenia (GRID:grid.8954.0) (ISNI:0000 0001 0721 6013); J. Stefan Institute, Ljubljana, Slovenia (GRID:grid.11375.31) (ISNI:0000 0001 0706 0012)
34 Technische Universität München, Department of Physics, Garching, Germany (GRID:grid.6936.a) (ISNI:0000000123222966)
35 Nara Women’s University, Nara, Japan (GRID:grid.174568.9) (ISNI:0000 0001 0059 3836)
36 National Taiwan University, Department of Physics, Taipei, Taiwan (GRID:grid.19188.39) (ISNI:0000 0004 0546 0241)
37 University of Sydney, School of Physics, Sydney, Australia (GRID:grid.1013.3) (ISNI:0000 0004 1936 834X)
38 Nagoya University, Kobayashi-Maskawa Institute, Nagoya, Japan (GRID:grid.27476.30) (ISNI:0000 0001 0943 978X); Nagoya University, Graduate School of Science, Nagoya, Japan (GRID:grid.27476.30) (ISNI:0000 0001 0943 978X)
39 Institute of High Energy Physics, Vienna, Austria (GRID:grid.450258.e) (ISNI:0000 0004 0625 7405)
40 Osaka City University, Osaka, Japan (GRID:grid.261445.0) (ISNI:0000 0001 1009 6411)
41 High Energy Accelerator Research Organization (KEK), Tsukuba, Japan (GRID:grid.410794.f) (ISNI:0000 0001 2155 959X)
42 Indiana University, Bloomington, U.S.A. (GRID:grid.411377.7) (ISNI:0000 0001 0790 959X)
43 Gyeongsang National University, Jinju, South Korea (GRID:grid.256681.e) (ISNI:0000 0001 0661 1492)
44 University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe (WPI), Kashiwa, Japan (GRID:grid.26999.3d) (ISNI:0000 0001 2151 536X)
45 Chonnam National University, Gwangju, South Korea (GRID:grid.14005.30) (ISNI:0000 0001 0356 9399)
46 Kitasato University, Sagamihara, Japan (GRID:grid.410786.c) (ISNI:0000 0000 9206 2938)
47 Max-Planck-Institut für Physik, München, Germany (GRID:grid.435824.c) (ISNI:0000 0001 2375 0603)
48 Soongsil University, Seoul, South Korea (GRID:grid.263765.3) (ISNI:0000 0004 0533 3568)
49 Seoul National University, Seoul, South Korea (GRID:grid.31501.36) (ISNI:0000 0004 0470 5905)
50 Yonsei University, Seoul, South Korea (GRID:grid.15444.30) (ISNI:0000 0004 0470 5454)
51 University of Cincinnati, Cincinnati, U.S.A. (GRID:grid.24827.3b) (ISNI:0000 0001 2179 9593)
52 University of Mississippi, University, U.S.A. (GRID:grid.251313.7) (ISNI:0000 0001 2169 2489)
53 Kennesaw State University, Kennesaw, U.S.A. (GRID:grid.258509.3) (ISNI:0000 0000 9620 8332)
54 Punjab Agricultural University, Ludhiana, India (GRID:grid.412577.2) (ISNI:0000 0001 2176 2352)
55 Justus-Liebig-Universität Gießen, Gießen, Germany (GRID:grid.8664.c) (ISNI:0000 0001 2165 8627)
56 Kyungpook National University, Daegu, South Korea (GRID:grid.258803.4) (ISNI:0000 0001 0661 1556)
57 Liaoning Normal University, Dalian, P.R. China (GRID:grid.440818.1) (ISNI:0000 0000 8664 1765)
58 Peking University, Beijing, P.R. China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319)
59 Wayne State University, Detroit, U.S.A. (GRID:grid.254444.7) (ISNI:0000 0001 1456 7807); High Energy Accelerator Research Organization (KEK), Tsukuba, Japan (GRID:grid.410794.f) (ISNI:0000 0001 2155 959X)
60 University of Melbourne, School of Physics, Melbourne, Australia (GRID:grid.1008.9) (ISNI:0000 0001 2179 088X)
61 University of Tokyo, Earthquake Research Institute, Tokyo, Japan (GRID:grid.26999.3d) (ISNI:0000 0001 2151 536X); Osaka University, Research Center for Nuclear Physics, Osaka, Japan (GRID:grid.136593.b) (ISNI:0000 0004 0373 3971)
62 University of Miyazaki, Miyazaki, Japan (GRID:grid.410849.0) (ISNI:0000 0001 0657 3887)
63 P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation (GRID:grid.425806.d) (ISNI:0000 0001 0656 6476); Higher School of Economics (HSE), Moscow, Russian Federation (GRID:grid.410682.9) (ISNI:0000 0004 0578 2005)
64 Tata Institute of Fundamental Research, Mumbai, India (GRID:grid.22401.35) (ISNI:0000 0004 0502 9283)
65 Tata Institute of Fundamental Research, Mumbai, India (GRID:grid.22401.35) (ISNI:0000 0004 0502 9283); Utkal University, Bhubaneswar, India (GRID:grid.412779.e) (ISNI:0000 0001 2334 6133)
66 Tel Aviv University, School of Physics and Astronomy, Tel Aviv, Israel (GRID:grid.12136.37) (ISNI:0000 0004 1937 0546)
67 Toho University, Funabashi, Japan (GRID:grid.265050.4) (ISNI:0000 0000 9290 9879)
68 Nippon Dental University, Niigata, Japan (GRID:grid.412196.9) (ISNI:0000 0001 2293 6406); Niigata University, Niigata, Japan (GRID:grid.260975.f) (ISNI:0000 0001 0671 5144)
69 P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation (GRID:grid.425806.d) (ISNI:0000 0001 0656 6476); Moscow Physical Engineering Institute, Moscow, Russian Federation (GRID:grid.183446.c) (ISNI:0000 0000 8868 5198)
70 Higher School of Economics (HSE), Moscow, Russian Federation (GRID:grid.410682.9) (ISNI:0000 0004 0578 2005); P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow, Russian Federation (GRID:grid.425806.d) (ISNI:0000 0001 0656 6476)
71 INFN — Sezione di Napoli, Napoli, Italy (GRID:grid.470211.1) (ISNI:0000 0004 8343 7696)
72 Technische Universität München, Department of Physics, Garching, Germany (GRID:grid.6936.a) (ISNI:0000000123222966); Max-Planck-Institut für Physik, München, Germany (GRID:grid.435824.c) (ISNI:0000 0001 2375 0603)
73 Luther College, Decorah, U.S.A. (GRID:grid.2294.d) (ISNI:0000 0004 0394 7857)
74 Forschungszentrum Jülich, Jülich, Germany (GRID:grid.8385.6) (ISNI:0000 0001 2297 375X)
75 Università di Napoli Federico II, Napoli, Italy (GRID:grid.4691.a) (ISNI:0000 0001 0790 385X)
76 Tohoku University, Department of Physics, Sendai, Japan (GRID:grid.69566.3a) (ISNI:0000 0001 2248 6943)
77 University of Pittsburgh, Pittsburgh, U.S.A. (GRID:grid.21925.3d) (ISNI:0000 0004 1936 9000)
78 University of the Basque Country UPV/EHU, Bilbao, Spain (GRID:grid.11480.3c) (ISNI:0000000121671098); IKERBASQUE, Basque Foundation for Science, Bilbao, Spain (GRID:grid.424810.b) (ISNI:0000 0004 0467 2314)
79 Yamagata University, Yamagata, Japan (GRID:grid.268394.2) (ISNI:0000 0001 0674 7277)
80 Institute for High Energy Physics, Protvino, Russian Federation (GRID:grid.424823.b) (ISNI:0000 0004 0620 440X)
81 University of Bonn, Bonn, Germany (GRID:grid.10388.32) (ISNI:0000 0001 2240 3300)
82 Showa Pharmaceutical University, Tokyo, Japan (GRID:grid.412579.c) (ISNI:0000 0001 2180 2836); J-PARC Branch, KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba, Japan (GRID:grid.410794.f) (ISNI:0000 0001 2155 959X); Meson Science Laboratory, Cluster for Pioneering Research, RIKEN, Saitama, Japan (GRID:grid.7597.c) (ISNI:0000000094465255)
83 INFN — Sezione di Torino, Torino, Italy (GRID:grid.470222.1) (ISNI:0000 0004 7471 9712)
84 Japan Atomic Energy Agency, Advanced Science Research Center, Naka, Japan (GRID:grid.20256.33) (ISNI:0000 0001 0372 1485)
85 University of Florida, Gainesville, U.S.A. (GRID:grid.15276.37) (ISNI:0000 0004 1936 8091)
86 Université Paris-Saclay, CNRS/IN2P3, IJCLab, Orsay, France (GRID:grid.508754.b)
87 Tokyo Institute of Technology, Tokyo, Japan (GRID:grid.32197.3e) (ISNI:0000 0001 2179 2105)
88 National United University, Miao Li, Taiwan (GRID:grid.412103.5) (ISNI:0000 0004 0622 7206)
89 Chinese Academy of Sciences, Institute of High Energy Physics, Beijing, P.R. China (GRID:grid.9227.e) (ISNI:0000000119573309)
90 Korea University, Seoul, South Korea (GRID:grid.222754.4) (ISNI:0000 0001 0840 2678)
91 Soochow University, Suzhou, P.R. China (GRID:grid.263761.7) (ISNI:0000 0001 0198 0694)
92 University of Science and Technology of China, Department of Modern Physics and State Key Laboratory of Particle Detection and Electronics, Hefei, P.R. China (GRID:grid.59053.3a) (ISNI:0000000121679639)