Observation of quantum entanglement in top-quark pairs using the ATLAS detector
G. Aad, B. Abbott, Claire Adam Bourdarios, Ludovica Aperio Bella, Guillermo Nicolas Hamity, E. J. Hampshire, J. Han, K. Han, Liangliang Han, Liang Han, Shuo Han, Yi Fei Han, K. Hanagaki, Mike Hance, C. Appelt, D. A. Hangal, H. Hanif, M. D. Hank, J. B. Hansen, P. H. Hansen, K. Hara, D. Harada, T. Harenberg, Siarhei Harkusha, Matthew Leary Harris, A. Apyan, Ynyr Harris, J. Harrison, Natalie Harrison, P. F. Harrison, N. M. Hartman, Nikolai Hartmann, Y. Hasegawa, Reiner Hauser, Chris Hawkes, R. J. Hawkings, Sergio Javier Arbiol Val, Y. Hayashi, Shota Hayashida, D. Hayden, Christopher Robyn Hayes, Robin Hayes, C. P. Hays, Jonathan Hays, Helen Hayward, F. He, M. He, C. Arcangeletti, Yunjian He, Yajun He, Yi He, Nathan Barry Heatley, Vincent Hedberg, Andreas Lokken Heggelund, N. D. Hehir, Constantin Heidegger, Kim Katrin Heidegger, William Dale Heidorn, A. T. H. Arce, J. Heilman, S. Heim, T. Heim, J. G. Heinlein, J. J. Heinrich, L. Heinrich, J. Hejbal, A. Held, Simen Hellesund, Cole Michael Helling, Eloisa Arena, S. Hellman, Robert Henderson, L. Henkelmann, Ana Maria Henriques Correia, H. Herde, Yesenia Hernandez Jimenez, L. M. Herrmann, Tim Herrmann, G. Herten, R. Hertenberger, J-F. Arguin, Luis Hervas, M. E. Hesping, Nigel Hessey, E. Hill, S. J. Hillier, Julia Rose Hinds, F. Hinterkeuser, M. Hirose, S. Hirose, Dominic Hirschbuehl, S. Argyropoulos, T. G. Hitchings, Bojan Hiti, J. Hobbs, R. Hobincu, Noam Tal Hod, M. C. Hodgkinson, Ben Hodkinson, A. Hoecker, Dustyn Dean Hofer, Judith Hofer, J.-H. Arling, Tanja Holm, Michael Holzbock, Bart Hommels, B. P. Honan, Jiangliu Hong, T. M. Hong, Benjamin Henry Hooberman, W. H. Hopkins, Yasuyuki Horii, S. Hou, L. Adamczyk, O. Arnaez, A. S. Howard, James William Howarth, J. Hoya, M. Hrabovský, A. Hrynevich, T Hryn'ova, P. J. Hsu, Shih-Chieh Hsu, Q. Hu, Y. Hu, H. Arnold, S. Huang, X. Huang, Xinhui Huang, Y. Huang, Yanping Huang, Zuchen Huang, Z. Hubáček, Michael Hübner, F. Huegging, T. B. Huffman, G. Artoni, Cedrine Alexandra Hugli, Mika Huhtinen, Simon Kristian Huiberts, Raphael Alain Hulsken, N. Huseynov, J. Huston, J. Huth, Rachel Jordan Hyneman, G. Iacobucci, G. Iakovidis, H. Asada, I. Ibragimov, Lydia Iconomidou-Fayard, J. P. Iddon, Paolo Iengo, R. Iguchi, Tomoya Iizawa, Yoichi Ikegami, N. Ilic, H. Imam, Merve Ince Lezki, Kanae Asai, Tom Ingebretsen Carlson, G. Introzzi, Mauro Iodice, V. Ippolito, Rebecca Katie Irwin, M. Ishino, Wasikul Islam, Cigdem Issever, S. Iştın, H. Ito, S. Asai, R. Iuppa, Anna Ivina, J. M. Izen, V. Izzo, P. Jacka, P. Jackson, Benjamin Paul Jaeger, C. S. Jagfeld, Geetika Jain, Prasham Jain, N. Asbah, K. Jakobs, T. Jakoubek, J. Jamieson, Krzysztof Janas, M. Javurkova, L. Jeanty, Juansher Jejelava, Peter Jenni, Callan Jessiman, C. Jia, K. Assamagan, J. Jia, X. Jia, Xuewei Jia, Zihang Jia, S. Jiggins, Javier Jimenez Pena, Shan Jin, Adam Jinaru, O. Jinnouchi, Per Daniel Conny Johansson, R. Astalos, K. A. Johns, J. W. Johnson, Dominic Jones, E. Jones, P. Jones, R. W. L. Jones, Tim Jones, Hans Ludwig Joos, Roshan Joshi, J. Jovicevic, Rose Atashi, X. Ju, J. J. Junggeburth, T. Junkermann, Aurelio Juste Rozas, M. K. Juzek, S. Kabana, A. Kaczmarská, Marumi Kado, H. Kagan, M. Kagan, Sagar Addepalli, R. J. Atkin, Alan Mathew Kahn, Abraham Kahn, Christian Kahra, T. Kaji, Enrique Kajomovitz Must, N. Kakati, I. Kalaitzidou, Will Kalderon, Andrey Kamenshchikov, Nathan Jihoon Kang, Markus Julian Atkinson, D. Kar, Kla Karava, Mohammad Kareem, E. Karentzos, I. Karkanias, O. Karkout, S. N. Karpov, Z. M. Karpova, Vato Kartvelishvili, A. N. Karyukhin, Hicham Atmani, E. Kasimi, Judith Katzy, S. Kaur, Kentaro Kawade, Mayuri Prabhakar Kawale, Chihiro Kawamoto, T. Kawamoto, E. F. Kay, Colette Kaya, S. Kazakos, P. A. Atmasiddha, V. F. Kazanin, Y. Ke, J. Keaveney, R. Keeler, G. V. Kehris, J. S. Keller, Aidan Sean Kelly, J. J. Kempster, P. D. Kennedy, Oldrich Kepka, K Augsten, B. P. Kerridge, S. Kersten, B. P. Kerševan, S. Keshri, Lucia Keszeghova, Sana Ketabchi, Raees Ahmad Khan, A. Khanov, Alexey Kharlamov, T. Kharlamova, S. Auricchio, E. E. Khoda, Marina Kholodenko, T. J. Khoo, G. Khoriauli, Djemal Khubua, Y. A. R. Khwaira, Beatty Kibirige, Aaron Joseph Kilgallon, D. W. Kim, Young-Kee Kim, A. D. Auriol, Naoki Kimura, Matthew Kevin Kingston, Andreas Kirchhoff, C. Kirfel, Florian Kirfel, J. Kirk, Andrei Kiryunin, Chara Kitsaki, O. Kivernyk, Martin Klassen, Volker Andreas Austrup, Christoph Thomas Klein, Lucas Klein, M. Klein, Samuel Byrne Klein, U. Klein, P. Klimek, Alexei Klimentov, T. Klioutchnikova, P. Kluit, S. Kluth, G. Avolio, E. Kneringer, Timothy Michael Knight, A. Knue, R. Kobayashi, Dmitrii Kobylianskii, S. F. Koch, M. Kocian, P. Kodyš, Daniela Köck, Philipp Konig, K. Axiotis, T. Koffas, Orcun Kolay, Iro Koletsou, T. Komárek, Karsten Koeneke, Albert Kong, T. Kono, N. Konstantinidis, P. Kontaxakis, Balázs Kónya, Matt Addison, G. Azuelos, Revital Kopeliansky, Stefan Zenon Koperny, K. Korcyl, K. Kordas, Andreas Korn, S. Korn, I. Korolkov, Natalia Korotkova, B. Kortman, Oliver Kortner, Dominik Babal, Sandra Kortner, Will Kostecka, V. V. Kostyukhin, A. Kotsokechagia, Ashutosh Kotwal, A. Koulouris, Athina Kourkoumeli-Charalampidi, C. Kourkoumelis, E. Kourlitis, Ondrej Kovanda, H. Bachacou, R. Kowalewski, W. Kozanecki, Anatoli Kozhin, Viktor Kramarenko, G. Kramberger, P. Kramer, Mieczyslaw Witold Krasny, A. Krasznahorkay, J. W. Kraus, Jakub Kremer, K. Bachas, Tom Kresse, J. Kretzschmar, K. Kreul, Peter Krieger, Samyukta Krishnamurthy, M. Krivoš, K. Krizka, K. Kroeninger, H. Kroha, J. Kroll, A. Bachiu, Ira Joseph Kroll, Kyle Stuart Krowpman, U. Kruchonak, Hans Krueger, N. Krumnack, M. Kruse, O. Kuchinskaia, Sinan Kuday, S. Kuehn, Roman Kusters, F. Backman, T. Kuhl, Victor Kukhtin, Yuri Koultchitski, Serguei Kuleshov, M. Kumar, N. Kumari, Priyanka Kumari, A. Kupčo, T. Kupfer, A. Kupich, A. Badea, Oleg Kuprash, H. Kurashige, L. L. Kurchaninov, O. Kurdysh, Y. A. Kurochkin, Anastasia Kurova, M. Kuze, A. K. Kvam, J. Kvita, T. Kwan, Tamas Marton Baer, N. G. Kyriacou, L. A. O. Laatu, Carlos Lacasta Llacer, F. Lacava, H. Lacker, D. Lacour, N. N. Lad, E. Ladygin, B. Laforge, Theodota Lagouri, P. Bagnaia, Fatima Zahra Lahbabi, S. Lai, Inga Katarzyna Lakomiec, Nathan Lalloue, Joseph Earl Lambert, S. Lammers, W. Lampl, C. Lampoudis, A. N. Lancaster, E. Lançon, M. Bahmani, Ulrich Landgraf, M. P. J. Landon, V. S. Lang, Robert Johannes Langenberg, Oda Kristin Berg Langrekken, A. J. Lankford, Francesco Lanni, Kerstin Lantzsch, A. Lanza, A. Lapertosa, J. Adelman, Daniel Bahner, Jean-Francois Laporte, T. Lari, Federico Lasagni Manghi, M. Lassnig, V. Latoňová, Antoine Laudrain, A. Laurier, Sean Dean Lawlor, Z. Lawrence, Roxani Lazaridou, A. J. Bailey, M. Lazzaroni, Brian Le, E. M. Le Boulicaut, B. Leban, A. Lebedev, M. LeBlanc, Fabienne Ledroit, Ava Chloe Audrey Lee, Shih-Chang Lee, S. Lee, Virginia Bailey, Ting Fung Lee, Lerothodi Leonard Leeuw, H. P. 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Barends, Adriana Milic, D. W. Miller, Laura Stephanie Miller, Alexander Milov, D. A. Milstead, Tianjue Min, Andrei Minaenko, Irakli Minashvili, Laurynas Mince, A. I. Mincer, T. Barillari, B. Mindur, Mikhail Mineev, Y. Mino, Lluisa Maria Mir Martinez, Marcos Miralles Lopez, Maria Mironova, Akihiro Mishima, Marion Missio, A. Mitra, V. A. Mitsou, M-S. Barisits, Yuki Mitsumori, O. Miu, P. S. Miyagawa, T. Mkrtchyan, M. Mlinarevic, T. Mlinarevic, M. Mlynarikova, Silke Mobius, P. Mogg, Mohamed Hijas Mohamed Farook, A. A. Affolder, Tim Barklow, Abdualazem Fadol Mohammed, S. Mohapatra, G. Mokgatitswane, Luca Moleri, B. Mondal, S. Mondal, K. Mönig, Emmanuel Monnier, Luis Monsonis Romero, Javier Montejo Berlingen, P. Baroň, Marco Montella, F. Montereali, F. Monticelli, S. Monzani, N. Morange, Luisa Carvalho, Maria Moreno Llacer, Carlos Moreno Martinez, P. Morettini, S. Morgenstern, Diego Baron, M. Morii, M. Morinaga, F. Morodei, L. Morvaj, P. Moschovakos, B. Moser, Maia Mosidze, T. 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Résumé fourni par la source
We report the highest-energy observation of entanglement, in top$-$antitop quark events produced at the Large Hadron Collider, using a proton$-$proton collision data set with a center-of-mass energy of $\sqrt{s}=13$ TeV and an integrated luminosity of 140 fb$^{-1}$ recorded with the ATLAS experiment. Spin entanglement is detected from the measurement of a single observable $D$, inferred from the angle between the charged leptons in their parent top- and antitop-quark rest frames. The observable is measured in a narrow interval around the top$-$antitop quark production threshold, where the entanglement detection is expected to be significant. It is reported in a fiducial phase space defined with stable particles to minimize the uncertainties that stem from limitations of the Monte Carlo event generators and the parton shower model in modelling top-quark pair production. The entanglement marker is measured to be $D=-0.547 \pm 0.002~\text{(stat.)} \pm 0.021~\text{(syst.)}$ for $340 < m_{t\bar{t}} < 380 $ GeV. The observed result is more than five standard deviations from a scenario without entanglement and hence constitutes both the first observation of entanglement in a pair of quarks and the highest-energy observation of entanglement to date.
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