Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations

ArXiv 1910.03887 (2019)

Authors:

K Abe, R Akutsu, A Ali, C Alt, C Andreopoulos, L Anthony, M Antonova, S Aoki, A Ariga, Y Asada, Y Ashida, ET Atkin, Y Awataguchi, S Ban, M Barbi, GJ Barker, G Barr, C Barry, M Batkiewicz-Kwasniak, A Beloshapkin, F Bench, V Berardi, S Berkman, L Berns, S Bhadra, S Bienstock, A Blondel, S Bolognesi, B Bourguille, SB Boyd, D Brailsford, A Bravar, D Bravo Berguño, C Bronner, A Bubak, M Buizza Avanzini, J Calcutt, T Campbell, S Cao, SL Cartwright, MG Catanesi, A Cervera, A Chappell, C Checchia, D Cherdack, N Chikuma, G Christodoulou, J Coleman, G Collazuol, L Cook, D Coplowe, A Cudd, A Dabrowska, G De Rosa, T Dealtry, PF Denner, SR Dennis, C Densham, F Di Lodovico, N Dokania, S Dolan, O Drapier, J Dumarchez, P Dunne, L Eklund, S Emery-Schrenk, A Ereditato, P Fernandez, T Feusels, AJ Finch, GA Fiorentini, G Fiorillo, C Francois, M Friend, Y Fujii, R Fujita, D Fukuda, R Fukuda, Y Fukuda, K Gameil, C Giganti, T Golan, M Gonin, A Gorin, M Guigue, DR Hadley, JT Haigh, P Hamacher-Baumann, M Hartz, T Hasegawa, NC Hastings, T Hayashino, Y Hayato, A Hiramoto, M Hogan, J Holeczek, NT Hong Van, F Iacob, AK Ichikawa, M Ikeda, T Ishida, T Ishii, M Ishitsuka, K Iwamoto, A Izmaylov, B Jamieson, SJ Jenkins, C Jesús-Valls, M Jiang, S Johnson, P Jonsson, CK Jung, M Kabirnezhad, AC Kaboth, T Kajita, H Kakuno, J Kameda, D Karlen, SP Kasetti, Y Kataoka, T Katori, Y Kato, E Kearns, M Khabibullin, A Khotjantsev, T Kikawa, H Kim, J Kim, S King, J Kisiel, A Knight, A Knox, T Kobayashi, L Koch, T Koga, A Konaka, LL Kormos, Y Koshio, K Kowalik, H Kubo, Y Kudenko, N Kukita, S Kuribayashi, R Kurjata, T Kutter, M Kuze, L Labarga, J Lagoda, M Lamoureux, M Laveder, M Lawe, M Licciardi, T Lindner, RP Litchfield, SL Liu, X Li, A Longhin, L Ludovici, X Lu, T Lux, LN Machado, L Magaletti, K Mahn, M Malek, S Manly, L Maret, AD Marino, JF Martin, T Maruyama, T Matsubara, K Matsushita, V Matveev, K Mavrokoridis, E Mazzucato, M McCarthy, N McCauley, KS McFarland, C McGrew, A Mefodiev, C Metelko, M Mezzetto, A Minamino, O Mineev, S Mine, M Miura, L Molina Bueno, S Moriyama, J Morrison, Th A Mueller, L Munteanu, S Murphy, Y Nagai, T Nakadaira, M Nakahata, Y Nakajima, A Nakamura, KG Nakamura, K Nakamura, S Nakayama, T Nakaya, K Nakayoshi, C Nantais, TV Ngoc, K Niewczas, K Nishikawa, Y Nishimura, TS Nonnenmacher, F Nova, P Novella, J Nowak, JC Nugent, HM O'Keeffe, L O'Sullivan, T Odagawa, K Okumura, T Okusawa, SM Oser, RA Owen, Y Oyama, V Palladino, JL Palomino, V Paolone, WC Parker, P Paudyal, M Pavin, D Payne, GC Penn, L Pickering, C Pidcott, G Pintaudi, ES Pinzon Guerra, C Pistillo, B Popov, K Porwit, M Posiadala-Zezula, A Pritchard, B Quilain, T Radermacher, E Radicioni, B Radics, PN Ratoff, E Reinherz-Aronis, C Riccio, E Rondio, S Roth, A Rubbia, AC Ruggeri, A Rychter, K Sakashita, F Sánchez, CM Schloesser, K Scholberg, J Schwehr, M Scott, Y Seiya, T Sekiguchi, H Sekiya, D Sgalaberna, R Shah, A Shaikhiev, F Shaker, A Shaykina, M Shiozawa, W Shorrock, A Shvartsman, A Smirnov, M Smy, JT Sobczyk, H Sobel, FJP Soler, Y Sonoda, J Steinmann, S Suvorov, A Suzuki, SY Suzuki, Y Suzuki, AA Sztuc, M Tada, M Tajima, A Takeda, Y Takeuchi, HK Tanaka, HA Tanaka, S Tanaka, LF Thompson, W Toki, C Touramanis, KM Tsui, T Tsukamoto, M Tzanov, Y Uchida, W Uno, M Vagins, S Valder, Z Vallari, D Vargas, G Vasseur, C Vilela, WGS Vinning, T Vladisavljevic, VV Volkov, T Wachala, J Walker, JG Walsh, Y Wang, D Wark, MO Wascko, A Weber, R Wendell, MJ Wilking, C Wilkinson, JR Wilson, RJ Wilson, K Wood, C Wret, Y Yamada, K Yamamoto, C Yanagisawa, G Yang, T Yano, K Yasutome, S Yen, N Yershov, M Yokoyama, T Yoshida, M Yu, A Zalewska, J Zalipska, K Zaremba, G Zarnecki, M Ziembicki, ED Zimmerman, M Zito, S Zsoldos, A Zykova

Abstract:

The current laws of physics do not explain the observed imbalance of matter and antimatter in the universe. Sakharov proposed that an explanation would require the violation of CP symmetry between matter and antimatter. The only CP violation observed so far is in the weak interactions of quarks, and it is too small to explain the matter-antimatter imbalance of the universe. It has been shown that CP violation in the lepton sector could generate the matter-antimatter disparity through the process called leptogenesis. The quantum mixing of neutrinos, the neutral leptons in the Standard Model, provides a potential source of CP violation through a complex phase dCP, which may have consequences for theoretical models of leptogenesis. This CP violation can be measured in muon neutrino to electron neutrino oscillations and the corresponding antineutrino oscillations, which are experimentally accessible with accelerator-produced beams as established by the T2K experiment. Until now, the value of dCP has not been significantly constrained by neutrino oscillation experiments. Here the T2K collaboration reports a measurement that favors large enhancement of the neutrino oscillation probability, excluding values of dCP which result in a large enhancement of the observed anti-neutrino oscillation probability at three standard deviations (3 sigma). The 3 sigma confidence level interval for dCP, which is cyclic and repeats every 2pi, is [-3.41,-0.03] for the so-called normal mass ordering, and [-2.54,-0.32] for the inverted mass ordering. Our results show an indication of CP violation in the lepton sector. Herein we establish methods for sensitive searches for matter-antimatter asymmetry in neutrino oscillations using accelerator-produced neutrino beams. Future measurements with larger data samples will determine whether the leptonic CP violation is larger than the quark sector CP violation.

Benchmarking Nucleon Production in Hadron Interactions Relevant for GeV-scale Neutrino Experiments

ArXiv 2609.22662 (2026)

Authors:

Richard Diurba, Steve Dytman, Matthew King, Yinrui Liu

Measurement of Charged-Particle Production in sNN=9.62 TeV Proton-Oxygen Collisions as a Probe of Cosmic-Ray Air Showers with the ATLAS Detector

Physical Review Letters American Physical Society (APS) 137:12 (2026) 121901

Authors:

G Aad, E Aakvaag, B Abbott, S Abdelhameed, K Abeling, NJ Abicht, SH Abidi, M Aboelela, A Aboulhorma, H Abramowicz, BS Acharya, A Ackermann, J Ackerschott, C Adam Bourdarios, L Adamczyk, SV Addepalli, MJ Addison, J Adelman, A Adiguzel, T Adye, AA Affolder, Y Afik, MN Agaras, A Aggarwal, C Agheorghiesei, A Ahmad, F Ahmadov, S Ahuja, S Ahuja, X Ai, G Aielli, A Aikot, M Ait Tamlihat, TPA Åkesson, D Akiyama, NN Akolkar, S Aktas, GL Alberghi, J Albert, U Alberti, P Albicocco, S Alderweireldt, ZL Alegria, M Aleksa, IN Aleksandrov, C Alexa, T Alexopoulos, F Alfonsi, M Algren, M Alhroob, B Ali, HMJ Ali, S Ali, SW Alibocus, M Aliev, G Alimonti, C Allaire, BMM Allbrooke, DR Allen, JS Allen, JF Allen, CS Alley, ER Almazan, A Aloisio, F Alonso, C Alpigiani, A Alvarez Fernandez, M Alves Cardoso, MG Alviggi, M Aly, Y Amaral Coutinho, C Amelung, M Amerl, T Amezza, B Amini, K Amirie, A Amirkhanov, D Amperiadou, S An, C Anastopoulos, T Andeen, JK Anders, AC Anderson, A Andreazza, S Angelidakis, A Angerami, AV Anisenkov, A Annovi, C Antel, E Antipov, M Antonelli, F Anulli, M Aoki, T Aoki, MA Aparo, L Aperio Bella, M Apicella, C Appelt, A Apyan, M Arampatzi, SJ Arbiol Val, C Arcangeletti, ATH Arce, M Arcuri, J-F Arguin, S Argyropoulos, J-H Arling, O Arnaez, H Arnold, G Artoni, H Asada, S Asatryan, NA Asbah, RA Ashby Pickering, AM Aslam, J Assahsah, K Assamagan, R Astalos, KSV Astrand, S Atashi, RJ Atkin, H Atmani, PA Atmasiddha, K Augsten, AD Auriol, VA Austrup, AS Avad, G Avolio, A Azzam, D Babal, H Bachacou, K Bachas, A Bachiu, E Bachmann, MJ Backes, A Badea, TM Baer, M Bahmani, D Bahner, K Bai, L Baines, OK Baker, D Bakshi Gupta, LE Balabram Filho, V Balakrishnan, R Balasubramanian, P Balek, E Ballabene, F Balli, LM Baltes, WK Balunas, I Bamwidhi, E Banas, M Bandieramonte, S Bansal, L Barak, M Barakat, EL Barberio, D Barberis, M Barbero, MZ Barel, T Barillari, M-S Barisits, T Barklow, P Baron, DA Baron Moreno, A Baroncelli, AJ Barr, JD Barr, F Barreiro, J Barreiro Guimarães da Costa, MG Barros Teixeira, F Bartels, R Bartoldus, AE Barton, P Bartos, M Baselga, S Bashiri, A Bassalat, MJ Basso, S Bataju, R Bate, RL Bates, M Battaglia, D Battulga, M Bauce, L Bauckhage, P Bauer, LT Bayer, LT Bazzano Hurrell, T Beau, JY Beaucamp, S Beauceron, PH Beauchemin, P Bechtle, HP Beck, K Becker, AJ Beddall, VA Bednyakov, CP Bee, LJ Beemster, M Begalli, M Begel, JK Behr, JF Beirer, F Beisiegel, M Belfkir, G Bella, L Bellagamba, A Bellerive, CD Bellgraph, P Bellos, I Benaoumeur, D Benchekroun, F Bendebba, Y Benhammou, KC Benkendorfer, L Beresford, M Beretta, E Bergeaas Kuutmann, N Berger, B Bergmann, J Beringer, M Berkat, G Bernardi, C Bernius, FU Bernlochner, A Berrocal Guardia, T Berry, P Berta, A Berti, R Bertrand, S Bethke, A Betti, TF Beumker, AJ Bevan, L Bezio, NK Bhalla, S Bharthuar, S Bhatta, P Bhattarai, ZM Bhatti, KD Bhide, VS Bhopatkar, RM Bianchi, G Bianco, O Biebel, M Biglietti, P Bijl, CS Billingsley, Y Bimgdi, M Bindi, A Bingham, A Bingul, C Bini, M Biros, S 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Gardner, RW Gardner, N Garelli, RB Garg, JM Gargan, CA Garner, CM Garvey, VK Gassmann, G Gaudio, AJ Gavin, J Gavranovic, IL Gavrilenko, C Gay, G Gaycken, A Gekow, C Gemme, MH Genest, AD Gentry, S George, T Geralis, AA Gerwin, P Gessinger-Befurt, M Ghani, K Ghorbanian, A Ghosal, A Ghosh, A Ghosh, B Giacobbe, S Giagu, A Giannini, SM Gibson, DT Gil, BJ Gilbert, D Gillberg, G Gilles, DM Gingrich, MP Giordani, PF Giraud, G Giugliarelli, D Giugni, F Giuli, I Gkialas, BC Gladwyn, C Glasman, M Glazewska, RM Gleason, G Glemža, I Gnesi, Y Go, M Goblirsch-Kolb, B Gocke, D Godin, B Gokturk, S Goldfarb, T Golling, MGD Gololo, A Golub, JP Gombas, A Gomes, G Gomes Da Silva, AJ Gomez Delegido, R Gonçalo, A Gongadze, F Gonnella, JL Gonski, RY González Andana, S González de la Hoz, MV Gonzalez Rodrigues, R Gonzalez Suarez, S Gonzalez-Sevilla, L Goossens, B Gorini, E Gorini, A Gorišek, TC Gosart, AT Goshaw, MI Gostkin, S Goswami, CA Gottardo, SA Gotz, M Gouighri, AG Goussiou, N Govender, RP Grabarczyk, I 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AL Warnerbring, S Waterhouse, AT Watson, H Watson, MF Watson, E Watton, G Watts, BM Waugh, JM Webb, C Weber, MS Weber, C Wei, Y Wei, AR Weidberg, EJ Weik, J Weingarten, C Weiser, CJ Wells, PS Wells, T Wenaus, T Wengler, NS Wenke, N Wermes, D Werner, M Wessels, AM Wharton, AS White, A White, MJ White, D Whiteson, L Wickremasinghe, W Wiedenmann, M Wielers, R Wierda, C Wiglesworth, HG Wilkens, JJH Wilkinson, S Williams, S Willocq, DJ Wilson, PJ Windischhofer, FI Winkel, F Winklmeier, BT Winter, M Wittgen, M Wobisch, T Wojtkowski, Z Wolffs, J Wollrath, MW Wolter, H Wolters, MC Wong, EL Woodward, SD Worm, BK Wosiek, KA Wozniak, KW Woźniak, S Wozniewski, K Wraight, C Wu, J Wu, M Wu, M Wu, SL Wu, S Wu, X Wu, YQ Wu, Y Wu, Z Wu, Z Wu, J Wuerzinger, TR Wyatt, BM Wynne, S Xella, L Xia, M Xie, A Xiong, I Xiotidis, D Xu, H Xu, L Xu, R Xu, T Xu, W Xu, Y Xu, Z Xu, R Xue, B Yabsley, S Yacoob, Y Yamaguchi, E Yamashita, H Yamauchi, T Yamazaki, Y Yamazaki, S Yan, Z Yan, C Yang, HJ Yang, HT Yang, S Yang, X Yang, X Yang, Y Yang, Y Yang, W-M Yao, CL Yardley, J Ye, S Ye, X Ye, I Yeletskikh, B Yeo, MR Yexley, TP Yildirim, K Yorita, CJS Young, C Young, INL Young, ND Young, Y Yu, J Yuan, M Yuan, R Yuan, L Yue, M Zaazoua, B Zabinski, I Zahir, QUA Zahoor, A Zaio, ZK Zak, T Zakareishvili, S Zambito, J Zang, R Zanzottera, O Zaplatilek, E Zaya, C Zeitnitz, H Zeng, DT Zenger, T Ženiš, S Zenz, W Zhan, B Zhang, DF Zhang, G Zhang, J Zhang, J Zhang, L Zhang, L Zhang, P Zhang, R Zhang, S Zhang, Y Zhang, Y Zhang, Y Zhang, Y Zhang, Z Zhang, Z Zhang, Z Zhang, Z Zhang, Z Zhang, H Zhao, T Zhao, Y Zhao, Z Zhao, Z Zhao, A Zhemchugov, J Zheng, K Zheng, L Zheng, X Zheng, Z Zheng, D Zhong, B Zhou, B Zhou, N Zhou, Y Zhou, Y Zhou, Y Zhou, Z Zhou, J Zhu, X Zhu, Y Zhu, X Zhuang, K Zhukov, P Ziakas, NI Zimine, J Zinsser, M Ziolkowski, L Živković, A Zoccoli, K Zoch, A Zografos, TG Zorbas, L Zwalinski

Abstract:

This Letter presents a measurement of prompt charged-particle production in proton-oxygen interactions at s NN = 9.62 TeV center-of-mass energy with the ATLAS detector, corresponding to 634 μ b − 1 of integrated luminosity. A total of 246 × 10 6 selected events have at least one track with transverse momentum p T > 500 MeV and pseudorapidity | η | < 2.5 . The measured fiducial proton-oxygen cross section is σ fid . p O = 396 ± 6 ( exp . ) ± 9 ( lumi . ) mb and the extrapolated inelastic proton-air cross section is σ inel . p + air = 406 ± 6 ( exp . ) ± 9 ( lumi . ) ± 28 ( th . ) mb . Measurements of charged-particle multiplicity, p T , and η distributions are an order-of-magnitude more precise than differences between hadronic-interaction models. These results enable improved modeling of cosmic-ray air showers, which is important for astroparticle physics.

First Measurement of Differential Cross Sections in Kinematic Imbalance Variables with Electron Neutrino Interactions Using the MicroBooNE Detector

ArXiv 2609.20949 (2026)

Authors:

MicroBooNE collaboration, P Abratenko, D Andrade Aldana, J Asaadi, A Ashkenazi, S Balasubramanian, B Baller, A Barnard, G Barr, D Barrow, J Barrow, V Basque, J Bateman, B Behera, O Benevides Rodrigues, S Berkman, A Bhat, M Bhattacharya, V Bhelande, A Binau, M Bishai, A Blake, B Bogart, T Bolton, MB Brunetti, L Camilleri, D Caratelli, F Cavanna, G Cerati, A Chappell, Y Chen, JM Conrad, M Convery, L Cooper-Troendle, JI Crespo-Anadon, R Cross, M Del Tutto, SR Dennis, P Detje, R Diurba, Z Djurcic, K Duffy, S Dytman, B Eberly, P Englezos, A Ereditato, JJ Evans, C Fang, BT Fleming, W Foreman, D Franco, AP Furmanski, F Gao, D Garcia-Gamez, S Gardiner, G Ge, S Gollapinni, E Gramellini, P Green, H Greenlee, L Gu, W Gu, R Guenette, L Hagaman, MD Handley, O Hen, A Hergenhan, M Harrison, S Hawkins, C Hilgenberg, GA Horton-Smith, A Hussain, B Irwin, MS Ismail, C James, X Ji, JH Jo, A Johnson, RA Johnson, D Kalra, G Karagiorgi, W Ketchum, A Kelly, M Kirby, T Kobilarcik, K Kumar, N Lane, J-Y Li, Y Li, K Lin, BR Littlejohn, L Liu, S Liu, WC Louis, X Luo, T Mahmud, N Majeed, C Mariani, J Marshall, DA Martinez Caicedo, F Martinez Lopez, MG Manuel Alves, S Martynenko, A Mastbaum, I Mawby, N McConkey, B McConnell, L Mellet, J Mendez, J Micallef, T Mohayai, A Mogan, M Mooney, AF Moor, CD Moore, L Mora Lepin, MA Hernandez Morquecho, MM Moudgalya, S Mulleria Babu, D Naples, A Navrer-Agasson, D Nawarathne, N Nayak, M Nebot-Guinot, C Nguyen, L Nguyen, J Nowak, N Oza, O Palamara, N Pallat, V Paolone, A Papadopoulou, V Papavassiliou, H Parkinson, SF Pate, N Patel, Z Pavlovic, E Piasetzky, K Pletcher, I Pophale, X Qian, JL Raaf, V Radeka, A Rafique, M Reggiani-Guzzo, J Rodriguez Rondon, M Ross-Lonergan, I Safa, C Sauer, DW Schmitz, A Schukraft, W Seligman, MH Shaevitz, R Sharankova, L Silva, EL Snider, S Soldner-Rembold, J Spitz, M Stancari, J St John, T Strauss, AM Szelc, K Terao, C Thorpe, D Torbunov, D Totani, M Toups, A Trettin, Y-T Tsai, J Tyler, MA Uchida, T Usher, B Viren, ML Velazquez Fernandez, L Wang, M Weber, H Wei, AJ White, S Wolbers, T Wongjirad, K Wresilo, W Wu, E Yandel, T Yang, LE Yates, HW Yu, GP Zeller, J Zennamo, C Zhang, Y Zhang

Measurements of Z-Boson Pair Entanglement in Decays of Higgs Bosons at the ATLAS Experiment

Physical Review Letters American Physical Society (APS) 137:11 (2026) 111804

Authors:

G Aad, E Aakvaag, B Abbott, S Abdelhameed, K Abeling, NJ Abicht, SH Abidi, M Aboelela, A Aboulhorma, H Abramowicz, BS Acharya, A Ackermann, C Adam Bourdarios, L Adamczyk, SV Addepalli, MJ Addison, J Adelman, A Adiguzel, T Adye, AA Affolder, Y Afik, MN Agaras, A Aggarwal, C Agheorghiesei, JA Aguilar Saavedra, A Ahmad, F Ahmadov, S Ahuja, S Ahuja, X Ai, G Aielli, A Aikot, M Ait Tamlihat, TPA Åkesson, D Akiyama, NN Akolkar, S Aktas, GL Alberghi, J Albert, U Alberti, P Albicocco, S Alderweireldt, ZL Alegria, M Aleksa, IN Aleksandrov, C Alexa, T Alexopoulos, F Alfonsi, M Algren, M Alhroob, B Ali, HMJ Ali, S Ali, SW Alibocus, M Aliev, G Alimonti, C Allaire, BMM Allbrooke, DR Allen, JS Allen, JF Allen, CS Alley, ER Almazan, A Aloisio, F Alonso, C Alpigiani, A Alvarez Fernandez, M Alves Cardoso, MG Alviggi, M Aly, Y Amaral Coutinho, C Amelung, M Amerl, T Amezza, B Amini, K Amirie, A Amirkhanov, D Amperiadou, S An, C Anastopoulos, T Andeen, JK Anders, AC Anderson, A Andreazza, S Angelidakis, A Angerami, AV Anisenkov, A Annovi, C Antel, E Antipov, M Antonelli, F Anulli, M Aoki, T Aoki, MA Aparo, L Aperio Bella, M Apicella, C Appelt, A Apyan, M Arampatzi, SJ Arbiol Val, C Arcangeletti, ATH Arce, M Arcuri, J-F Arguin, S Argyropoulos, J-H Arling, O Arnaez, H Arnold, G Artoni, H Asada, S Asatryan, NA Asbah, RA Ashby Pickering, AM Aslam, J Assahsah, K Assamagan, R Astalos, KSV Astrand, S Atashi, RJ Atkin, H Atmani, PA Atmasiddha, K Augsten, AD Auriol, VA Austrup, AS Avad, G Avolio, A Azzam, D Babal, H Bachacou, K Bachas, A Bachiu, E Bachmann, MJ Backes, A Badea, TM Baer, M Bahmani, D Bahner, K Bai, L Baines, OK Baker, D Bakshi Gupta, LE Balabram Filho, V Balakrishnan, R Balasubramanian, P Balek, E Ballabene, F Balli, LM Baltes, WK Balunas, I Bamwidhi, E Banas, M Bandieramonte, A Bandyopadhyay, S Bansal, L Barak, M Barakat, EL Barberio, D Barberis, M Barbero, MZ Barel, T Barillari, M-S Barisits, T Barklow, P Baron, DA Baron Moreno, A Baroncelli, AJ Barr, JD Barr, F Barreiro, J Barreiro Guimarães da Costa, MG Barros Teixeira, F Bartels, R Bartoldus, AE Barton, P Bartos, M Baselga, S Bashiri, A Bassalat, MJ Basso, S Bataju, R Bate, RL Bates, S Batlamous, M Battaglia, D Battulga, M Bauce, L Bauckhage, P Bauer, LT Bayer, LT Bazzano Hurrell, T Beau, JY Beaucamp, S Beauceron, PH Beauchemin, P Bechtle, HP Beck, K Becker, AJ Beddall, VA Bednyakov, CP Bee, LJ Beemster, M Begalli, M Begel, JK Behr, JF Beirer, F Beisiegel, M Belfkir, G Bella, L Bellagamba, A Bellerive, CD Bellgraph, P Bellos, I Benaoumeur, D Benchekroun, F Bendebba, Y Benhammou, KC Benkendorfer, L Beresford, M Beretta, E Bergeaas Kuutmann, N Berger, B Bergmann, J Beringer, M Berkat, G Bernardi, C Bernius, FU Bernlochner, A Berrocal Guardia, T Berry, P Berta, A Berti, R Bertrand, S Bethke, A Betti, TF Beumker, AJ Bevan, L Bezio, NK Bhalla, S Bharthuar, S Bhatta, P Bhattarai, ZM Bhatti, KD Bhide, VS Bhopatkar, RM Bianchi, G Bianco, O Biebel, M Biglietti, P Bijl, CS Billingsley, Y Bimgdi, M Bindi, A Bingham, A Bingul, C Bini, GA Bird, M Biros, S Biryukov, T Bisanz, E Bisceglie, JP Biswal, D Biswas, M Biyabi, I Bloch, A Blue, U Blumenschein, VS Bobrovnikov, L Boccardo, M Boehler, B Boehm, D Bogavac, LS Boggia, V Boisvert, P Bokan, T Bold, M Bomben, M Bona, M Boonekamp, AG Borbély, G Borissov, A Borkar, D Bortoletto, M Borysova, D Boscherini, M Bosman, K Bouaouda, L Boudet, J Boudreau, EV Bouhova-Thacker, D Boumediene, R Bouquet, A Boveia, D Boye, IR Boyko, L Bozianu, J Bracinik, N Brahimi, G Brandt, O Brandt, B Brau, R Brener, L Brenner, R Brenner, S Bressler, M Brettell, G Brianti, D Britton, D Britzger, I Brock, R Brock, H Bronson, G Brooijmans, AJ Brooks, EM Brooks, E Brost, LM Brown, LE Bruce, TL Bruckler, PA Bruckman de Renstrom, B Brüers, A Bruni, G Bruni, D Brunner, M Bruschi, N Bruscino, T Buanes, Q Buat, D Buchin, AG Buckley, J Bucko, M Buhring, O Bulekov, BA Bullard, TO Buratovich, S Burdin, CD Burgard, AM Burger, B Burghgrave, O Burlayenko, J Burleson, JC Burzynski, V Büscher, PJ Bussey, O But, JM Butler, CM Buttar, JM Butterworth, P Butti, W Buttinger, CJ Buxo Vazquez, AR Buzykaev, S Cabrera Urbán, L Cadamuro, H Cai, Y Cai, Y Cai, MA Cairo, VMM Cairo, O Cakir, N Calace, P Calafiura, G Calderini, P Calfayan, L Calic, G Callea, LP Caloba, D Calvet, S Calvet, R Camacho Toro, S Camarda, D Camarero Munoz, P Camarri, C Camincher, M Campanelli, A Camplani, V Canale, AC Canbay, E Canonero, J Cantero, F Capocasa, P Cappelli, M Capua, A Carbone, R Cardarelli, JCJ Cardenas, MP Cardiff, G Carducci, T Carli, G Carlino, JI Carlotto, BT Carlson, EM Carlson, L Carminati, A Carnelli, M Carnesale, S Caron, E Carquin, IB Carr, S Carrá, G Carratta, C Carrion Martinez, AM Carroll, N Cartalade, MP Casado, P Casolaro, M Caspar, F Cassinese, WR Castiglioni, FL Castillo, V Castillo Gimenez, NF Castro, A Catinaccio, JR Catmore, T Cavaliere, V Cavaliere, E Celebi, S Cella, V Cepaitis, K Cerny, AS Cerqueira, A Cerri, L Cerrito, F Cerutti, B Cervato, A Cervelli, G Cesarini, SA Cetin, VC Chabalala, PM Chabrillat, R Chakkappai, S Chakraborty, A Chambers, J Chan, JD Chapman, E Chapon, DG Charlton, C Chauhan, Y Che, S Chekanov, GA Chelkov, H Chen, J Chen, J Chen, M Chen, S Chen, SJ Chen, X Chen, X Chen, Z Chen, CL Cheng, HC Cheng, S Cheong, A Cheplakov, E Cherepanova, E Cheu, K Cheung, L Chevalier, G Chiarelli, G Chiodini, AS Chisholm, JL Chisholm, A Chitan, M Chitishvili, MV Chizhov, K Choi, Y Chou, EYS Chow, G Christou, KL Chu, MC Chu, Z Chubinidze, J Chudoba, JJ Chwastowski, D Cieri, KM Ciesla, V Cindro, A Ciocio, F Cirotto, ZH Citron, M Citterio, DA Ciubotaru, A Clark, PJ Clark, N Clarke Hall, C Clarry, SE Clawson, C Clement, L Clissa, Y Coadou, M Cobal, A Coccaro, MG Cochran Branson, RF Coelho Barrue, R Coelho Lopes De, S Coelli, MM Cohen, LS Colangeli, B Cole, P Collado Soto, J Collot, MR Coluccia, I Combes, P Conde Muiño, LHJ Condren, MP Connell, SH Connell, EI Conroy, M Contreras Cossio, F Conventi, AM Cooper-Sarkar, L Corazzina, FA Corchia, A Cordeiro Oudot Choi, LD Corpe, M Corradi, F Corriveau, A Cortes-Gonzalez, MJ Costa, F Costanza, D Costanzo, J Couthures, G Cowan, K Cranmer, L Cremer, D Cremonini, S Crépé-Renaudin, F Crescioli, T Cresta, M Cristinziani, M Cristoforetti, TM Critchley, E Critelli, A Cueto, H Cui, Z Cui, BM Cunnett, WR Cunningham, E Cuppini, F Curcio, JR Curran, MJ Da Cunha Sargedas De Sousa, JV Da Fonseca Pinto, C Da Via, W Dabrowski, T Dado, S Dahbi, T Dai, D Dal Santo, C Dallapiccola, M Dam, G D’amen, V D’Amico, JR Dandoy, M D’Andrea, D Dannheim, G D’anniballe, M Danninger, V Dao, G Darbo, F Dattola, S D’Auria, A D’Avanzo, T Davidek, J Davidson, I Dawson, K De, C De Almeida Rossi, N De Biase, S De Castro, N De Groot, P de Jong, H De la Torre, A De Maria, S De Miranda Rimes, A De Salvo, U De Sanctis, F De Santis, A De Santo, JB De Vivie De Regie, KG De Vries, J Debevc, DV Dedovich, J Degens, AM Deiana, J Del Peso, L Delagrange, F Deliot, CM Delitzsch, M Della Pietra, D Della Volpe, A Dell’Acqua, L Dell’Asta, M 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Duminica, AE Dumitriu, M Dunford, T Duong, A Duperrin, AF Duque Bran, H Duran Yildiz, A Durglishvili, GI Dyckes, M Dyndal, BS Dziedzic, GH Eberwein, B Eckerova, JC Egan, S Eggebrecht, E Egidio Purcino De Souza, G Eigen, K Einsweiler, T Ekelof, PA Ekman, S El Farkh, Y El Ghazali, H El Jarrari, A El Moussaouy, I Elbaz, D Elitez, M Ellert, F Ellinghaus, TA Elliot, J Elmsheuser, M Elsawy, M Elsing, D Emeliyanov, Y Enari, S Epari, D Ernani Martins Neto, F Ernst, M Escalier, C Escobar, R Estevam De Paula, E Etzion, G Evans, H Evans, LS Evans, S Ezzarqtouni, F Fabbri, L Fabbri, G Facini, V Fadeyev, D Fakoudis, S Falciano, LF Falda Ulhoa Coelho, F Fallavollita, G Falsetti, J Faltova, C Fan, KY Fan, Y Fan, Y Fang, M Fanti, M Faraj, Z Farazpay, A Farbin, A Farilla, K Farman, JN Farr, MS Farrington, SM Farrington, F Fassi, D Fassouliotis, L Fayard, G Fazzino, P Federic, P Federicova, M Feickert, L Feligioni, DE Fellers, C Feng, Y Feng, Z Feng, B Fernandez Barbadillo, P Fernandez Martinez, C Fernandez Ruiz, J Ferrando, A Ferrari, P Ferrari, R Ferrari, D Ferrere, C Ferretti, MP Fewell, D Fiacco, F Fiedler, P Fiedler, S Filimonov, MS Filip, A Filipčič, EK Filmer, F Filthaut, MCN Fiolhais, L Fiorini, WC Fisher, T Fitschen, I Fleck, P Fleischmann, T Flick, M Flores, LR Flores Castillo, M Foll, FM Follega, N Fomin, JH Foo, A Formica, M Fornasiero, AC Forti, N Forti, E Fortin, AW Fortman, L Foster, L Fountas, H Fox, P Francavilla, S Francescato, S Franchellucci, M Franchini, S Franchino, D Francis, L Franco, L Franconi, M Franklin, G Frattari, YY Frid, N Fritzsche, A Froch, D Froidevaux, JA Frost, Y Fu, S Fuenzalida Garrido, YC Fujikake, M Fujimoto, KY Fung, E Furtado De Simas Filho, M Furukawa, M Fuste Costa, P Fuste Martin, J Fuster, A Gaa, A Gabrielli, A Gabrielli, G Gagliardi, LG Gagnon, S Galantzan, J Gallagher, EJ Gallas, AL Gallen, BJ Gallop, KK Gan, Y Gao, Z Gao, A Garabaglu, FM Garay Walls, C García, A Garcia Alonso, AG Garcia Caffaro, JE García Navarro, MA Garcia Ruiz, 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Abstract:

Entanglement is a key property of quantum systems. In this Letter the first measurements of quantum entanglement between spins in pairs of Z bosons are reported, using proton-proton collision data from the Large Hadron Collider (LHC) at center-of-mass energies of 13 and 13.6 TeV, recorded with the ATLAS detector. Measurements of angular observables sensitive to Z Z * spin-density-matrix elements in the H → Z Z * → ℓ + ℓ − ℓ + ℓ − process yield coefficients C 2 , 1 , 2 , − 1 = − 0.71 ± 0.45 and C 2 , 2 , 2 , − 2 = 0.08 ± 0.44 , consistent with their Standard Model predictions. A complementary hypothesis test using the full angular distribution, and relying on several Standard Model assumptions in the decays, provides substantially higher sensitivity to quantum correlations and disfavors the separable-state hypothesis at a significance of 4.7 standard deviations (expected 4.9 σ ) relative to the entangled Standard Model hypothesis. These results provide strong evidence of quantum entanglement between massive bosons (spin qutrits) at the electroweak scale.