https://doi.org/10.1140/epjc/s10052-023-11753-y
Regular Article - Experimental Physics
Measurements of jet multiplicity and jet transverse momentum in multijet events in proton–proton collisions at 
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Yerevan Physics Institute, Yerevan, Armenia
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Institut für Hochenergiephysik, Vienna, Austria
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Universiteit Antwerpen, Antwerpen, Belgium
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Vrije Universiteit Brussel, Brussel, Belgium
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Université Libre de Bruxelles, Bruxelles, Belgium
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Ghent University, Ghent, Belgium
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Université Catholique de Louvain, Louvain-la-Neuve, Belgium
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Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil
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Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil
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Universidade Estadual Paulista, Universidade Federal do ABC, São Paulo, Brazil
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Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
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University of Sofia, Sofia, Bulgaria
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Beihang University, Beijing, China
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Department of Physics, Tsinghua University, Beijing, China
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Institute of High Energy Physics, Beijing, China
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State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, China
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Sun Yat-Sen University, Guangzhou, China
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Institute of Modern Physics and Key Laboratory of Nuclear Physics and Ion-beam Application (MOE)-Fudan University, Shanghai, China
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Zhejiang University, Hangzhou, Zhejiang, China
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Universidad de Los Andes, Bogota, Colombia
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Universidad de Antioquia, Medellin, Colombia
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University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, Croatia
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University of Split, Faculty of Science, Split, Croatia
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Institute Rudjer Boskovic, Zagreb, Croatia
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University of Cyprus, Nicosia, Cyprus
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Charles University, Prague, Czech Republic
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Escuela Politecnica Nacional, Quito, Ecuador
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Universidad San Francisco de Quito, Quito, Ecuador
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Academy of Scientific Research and Technology of the Arab Republic of Egypt, Egyptian Network of High Energy Physics, Cairo, Egypt
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Center for High Energy Physics (CHEP-FU), Fayoum University, El-Fayoum, Egypt
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National Institute of Chemical Physics and Biophysics, Tallinn, Estonia
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Department of Physics, University of Helsinki, Helsinki, Finland
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Helsinki Institute of Physics, Helsinki, Finland
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Lappeenranta-Lahti University of Technology, Lappeenranta, Finland
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IRFU, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
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Laboratoire Leprince-Ringuet, CNRS/IN2P3, Ecole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France
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Université de Strasbourg, CNRS, IPHC UMR 7178, Strasbourg, France
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Institut de Physique des 2 Infinis de Lyon (IP2I ), Villeurbanne, France
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Georgian Technical University, Tbilisi, Georgia
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RWTH Aachen University, I. Physikalisches Institut, Aachen, Germany
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RWTH Aachen University, III. Physikalisches Institut A, Aachen, Germany
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RWTH Aachen University, III. Physikalisches Institut B, Aachen, Germany
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Deutsches Elektronen-Synchrotron, Hamburg, Germany
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University of Hamburg, Hamburg, Germany
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Karlsruher Institut fuer Technologie, Karlsruhe, Germany
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Institute of Nuclear and Particle Physics (INPP), NCSR Demokritos, Aghia Paraskevi, Greece
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National and Kapodistrian University of Athens, Athens, Greece
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National Technical University of Athens, Athens, Greece
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University of Ioánnina, Ioánnina, Greece
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MTA-ELTE Lendület CMS Particle and Nuclear Physics Group, Eötvös Loránd University, Budapest, Hungary
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Wigner Research Centre for Physics, Budapest, Hungary
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Institute of Nuclear Research ATOMKI, Debrecen, Hungary
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Institute of Physics, University of Debrecen, Debrecen, Hungary
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Karoly Robert Campus, MATE Institute of Technology, Gyongyos, Hungary
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Indian Institute of Science (IISc), Bangalore, India
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Panjab University, Chandigarh, India
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University of Delhi, Delhi, India
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Saha Institute of Nuclear Physics, HBNI, Kolkata, India
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Indian Institute of Technology Madras, Madras, India
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Bhabha Atomic Research Centre, Mumbai, India
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Tata Institute of Fundamental Research-A, Mumbai, India
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Tata Institute of Fundamental Research-B, Mumbai, India
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National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute, Bhubaneswar, Odisha, India
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Indian Institute of Science Education and Research (IISER), Pune, India
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Isfahan University of Technology, Isfahan, Iran
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Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
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University College Dublin, Dublin, Ireland
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INFN Sezione di Bari, Università di Bari, Politecnico di Bari, Bari, Italy
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INFN Sezione di Bologna, Università di Bologna, Bologna, Italy
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INFN Sezione di Catania, Università di Catania, Catania, Italy
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INFN Sezione di Firenze, Università di Firenze, Florence, Italy
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INFN Laboratori Nazionali di Frascati, Frascati, Italy
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INFN Sezione di Genova, Università di Genova, Genoa, Italy
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INFN Sezione di Milano-Bicocca, Università di Milano-Bicocca, Milan, Italy
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INFN Sezione di Napoli, Università di Napoli ’Federico II’, Napoli, Italy; Università della Basilicata, Potenza, Italy; Università G. Marconi, Rome, Italy
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INFN Sezione di Padova, Università di Padova, Padua, Italy; Università di Trento, Trento, Italy
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INFN Sezione di Pavia, Università di Pavia, Pavia, Italy
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INFN Sezione di Perugia, Università di Perugia, Perugia, Italy
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INFN Sezione di Pisa, Università di Pisa, Scuola Normale Superiore di Pisa, Pisa, Italy; Università di Siena, Siena, Italy
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INFN Sezione di Roma, Sapienza Università di Roma, Rome, Italy
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INFN Sezione di Torino, Università di Torino, Turin, Italy; Università del Piemonte Orientale, Novara, Italy
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INFN Sezione di Trieste, Università di Trieste, Trieste, Italy
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Kyungpook National University, Daegu, Korea
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Chonnam National University, Institute for Universe and Elementary Particles, Kwangju, Korea
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Hanyang University, Seoul, Korea
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Korea University, Seoul, Korea
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Department of Physics, Kyung Hee University, Seoul, Korea
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Sejong University, Seoul, Korea
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Seoul National University, Seoul, Korea
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University of Seoul, Seoul, Korea
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Department of Physics, Yonsei University, Seoul, Korea
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Sungkyunkwan University, Suwon, Korea
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College of Engineering and Technology, American University of the Middle East (AUM), Dasman, Kuwait
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Riga Technical University, Riga, Latvia
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Vilnius University, Vilnius, Lithuania
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National Centre for Particle Physics, Universiti Malaya, Kuala Lumpur, Malaysia
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Universidad de Sonora (UNISON), Hermosillo, Mexico
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Centro de Investigacion y de Estudios Avanzados del IPN, Mexico City, Mexico
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Universidad Iberoamericana, Mexico City, Mexico
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Benemerita Universidad Autonoma de Puebla, Puebla, Mexico
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University of Montenegro, Podgorica, Montenegro
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University of Auckland, Auckland, New Zealand
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University of Canterbury, Christchurch, New Zealand
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National Centre for Physics, Quaid-i-Azam University, Islamabad, Pakistan
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AGH University of Science and Technology Faculty of Computer Science, Electronics and Telecommunications, Krakow, Poland
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National Centre for Nuclear Research, Swierk, Poland
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Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland
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Laboratório de Instrumentação e Física Experimental de Partículas, Lisbon, Portugal
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VINCA Institute of Nuclear Sciences, University of Belgrade, Belgrade, Serbia
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Centro de Investigaciones Energéticas Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain
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Universidad Autónoma de Madrid, Madrid, Spain
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Universidad de Oviedo, Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), Oviedo, Spain
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Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, Santander, Spain
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University of Colombo, Colombo, Sri Lanka
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Department of Physics, University of Ruhuna, Matara, Sri Lanka
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CERN, European Organization for Nuclear Research, Geneva, Switzerland
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Paul Scherrer Institut, Villigen, Switzerland
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ETH Zurich-Institute for Particle Physics and Astrophysics (IPA), Zurich, Switzerland
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Universität Zürich, Zurich, Switzerland
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National Central University, Chung-Li, Taiwan
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National Taiwan University (NTU), Taipei, Taiwan
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Department of Physics, Chulalongkorn University, Faculty of Science, Bangkok, Thailand
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Physics Department, Science and Art Faculty, Çukurova University, Adana, Turkey
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Physics Department, Middle East Technical University, Ankara, Turkey
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Bogazici University, Istanbul, Turkey
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Istanbul Technical University, Istanbul, Turkey
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Istanbul University, Istanbul, Turkey
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Institute for Scintillation Materials of National Academy of Science of Ukraine, Kharkiv, Ukraine
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National Science Centre, Kharkiv Institute of Physics and Technology, Kharkiv, Ukraine
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University of Bristol, Bristol, UK
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Rutherford Appleton Laboratory, Didcot, UK
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Imperial College, London, UK
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Brunel University, Uxbridge, UK
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Baylor University, Waco, TX, USA
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Catholic University of America, Washington, DC, USA
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The University of Alabama, Tuscaloosa, AL, USA
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Boston University, Boston, MA, USA
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Brown University, Providence, RI, USA
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University of California, Davis, Davis, CA, USA
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University of California, Los Angeles, CA, USA
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University of California, Riverside, Riverside, CA, USA
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University of California, San Diego, La Jolla, CA, USA
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Department of Physics, University of California, Santa Barbara, Santa Barbara, CA, USA
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California Institute of Technology, Pasadena, CA, USA
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Carnegie Mellon University, Pittsburgh, PA, USA
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University of Colorado Boulder, Boulder, CO, USA
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Cornell University, Ithaca, NY, USA
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Fermi National Accelerator Laboratory, Batavia, IL, USA
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University of Florida, Gainesville, FL, USA
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Florida State University, Tallahassee, FL, USA
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Florida Institute of Technology, Melbourne, FL, USA
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University of Illinois at Chicago (UIC), Chicago, IL, USA
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The University of Iowa, Iowa City, IA, USA
154
Johns Hopkins University, Baltimore, MD, USA
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The University of Kansas, Lawrence, KS, USA
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Kansas State University, Manhattan, KS, USA
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Lawrence Livermore National Laboratory, Livermore, CA, USA
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University of Maryland, College Park, MD, USA
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Massachusetts Institute of Technology, Cambridge, MA, USA
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University of Minnesota, Minneapolis, MN, USA
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University of Nebraska-Lincoln, Lincoln, NE, USA
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State University of New York at Buffalo, Buffalo, NY, USA
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Northeastern University, Boston, MA, USA
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Northwestern University, Evanston, IL, USA
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University of Notre Dame, Notre Dame, IN, USA
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The Ohio State University, Columbus, OH, USA
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Princeton University, Princeton, NJ, USA
168
University of Puerto Rico, Mayaguez, PR, USA
169
Purdue University, West Lafayette, IN, USA
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Purdue University Northwest, Hammond, IN, USA
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Rice University, Houston, TX, USA
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University of Rochester, Rochester, NY, USA
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Rutgers, The State University of New Jersey, Piscataway, NJ, USA
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University of Tennessee, Knoxville, TN, USA
175
Texas A &M University, College Station, TX, USA
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Texas Tech University, Lubbock, TX, USA
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Vanderbilt University, Nashville, TN, USA
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University of Virginia, Charlottesville, VA, USA
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Wayne State University, Detroit, MI, USA
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University of Wisconsin-Madison, Madison, WI, USA
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Authors Affiliated with an Institute or an International Laboratory Covered by a Cooperation Agreement with CERN, Geneva, Switzerland
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Yerevan State University, Yerevan, Armenia
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TU Wien, Vienna, Austria
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Institute of Basic and Applied Sciences, Faculty of Engineering, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt
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Université Libre de Bruxelles, Bruxelles, Belgium
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Universidade Estadual de Campinas, Campinas, Brazil
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Federal University of Rio Grande do Sul, Porto Alegre, Brazil
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The University of the State of Amazonas, Manaus, Brazil
189
University of Chinese Academy of Sciences, Beijing, China
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UFMS, Nova Andradina, Brazil
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Nanjing Normal University Department of Physics, Nanjing, China
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The University of Iowa, Iowa City, IA, USA
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University of Chinese Academy of Sciences, Beijing, China
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an institute or an international laboratory covered by a cooperation agreement with CERN, Geneva, Switzerland
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Helwan University, Cairo, Egypt
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Zewail City of Science and Technology, Zewail, Egypt
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British University in Egypt, Cairo, Egypt
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Ain Shams University, Cairo, Egypt
199
Purdue University, West Lafayette, IN, USA
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Université de Haute Alsace, Mulhouse, France
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Erzincan Binali Yildirim University, Erzincan, Turkey
202
CERN, European Organization for Nuclear Research, Geneva, Switzerland
203
RWTH Aachen University, III. Physikalisches Institut A, Aachen, Germany
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University of Hamburg, Hamburg, Germany
205
Isfahan University of Technology, Isfahan, Iran
206
Brandenburg University of Technology, Cottbus, Germany
207
Forschungszentrum Jülich, Juelich, Germany
208
Physics Department, Faculty of Science, Assiut University, Assiut, Egypt
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Karoly Robert Campus, MATE Institute of Technology, Gyongyos, Hungary
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Institute of Physics, University of Debrecen, Debrecen, Hungary
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Institute of Nuclear Research ATOMKI, Debrecen, Hungary
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MTA-ELTE Lendület CMS Particle and Nuclear Physics Group, Eötvös Loránd University, Budapest, Hungary
213
Wigner Research Centre for Physics, Budapest, Hungary
214
Punjab Agricultural University, Ludhiana, India
215
Shoolini University, Solan, India
216
University of Hyderabad, Hyderabad, India
217
University of Visva-Bharati, Santiniketan, India
218
Indian Institute of Technology (IIT), Mumbai, India
219
IIT Bhubaneswar, Bhubaneswar, India
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Institute of Physics, Bhubaneswar, India
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Deutsches Elektronen-Synchrotron, Hamburg, Germany
222
Sharif University of Technology, Tehran, Iran
223
Department of Physics, University of Science and Technology of Mazandaran, Behshahr, Iran
224
Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Bologna, Italy
225
Centro Siciliano di Fisica Nucleare e di Struttura Della Materia, Catania, Italy
226
Scuola Superiore Meridionale, Università di Napoli ‘Federico II’, Napoli, Italy
227
Università di Napoli ’Federico II’, Naples, Italy
228
Consiglio Nazionale delle Ricerche-Istituto Officina dei Materiali, Perugia, Italy
229
Consejo Nacional de Ciencia y Tecnología, Mexico City, Mexico
230
IRFU, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
231
Faculty of Physics, University of Belgrade, Belgrade, Serbia
232
Trincomalee Campus, Eastern University, Sri Lanka, Nilaveli, Sri Lanka
233
INFN Sezione di Pavia, Università di Pavia, Pavia, Italy
234
National and Kapodistrian University of Athens, Athens, Greece
235
Ecole Polytechnique Fédérale Lausanne, Lausanne, Switzerland
236
Universität Zürich, Zurich, Switzerland
237
Stefan Meyer Institute for Subatomic Physics, Vienna, Austria
238
Laboratoire d’Annecy-le-Vieux de Physique des Particules, IN2P3-CNRS, Annecy-le-Vieux, France
239
Şırnak University, Sirnak, Turkey
240
Near East University, Research Center of Experimental Health Science, Mersin, Turkey
241
Konya Technical University, Konya, Turkey
242
Izmir Bakircay University, Izmir, Turkey
243
Adiyaman University, Adiyaman, Turkey
244
Ozyegin University, Istanbul, Turkey
245
Necmettin Erbakan University, Konya, Turkey
246
Bozok Universitetesi Rektörlügü, Yozgat, Turkey
247
Marmara University, Istanbul, Turkey
248
Milli Savunma University, Istanbul, Turkey
249
Kafkas University, Kars, Turkey
250
Istanbul Bilgi University, Istanbul, Turkey
251
Hacettepe University, Ankara, Turkey
252
Istanbul University-Cerrahpasa, Faculty of Engineering, Istanbul, Turkey
253
Vrije Universiteit Brussel, Brussels, Belgium
254
School of Physics and Astronomy, University of Southampton, Southampton, UK
255
IPPP Durham University, Durham, UK
256
Monash University, Faculty of Science, Clayton, Australia
257
Università di Torino, Turin, Italy
258
Bethel University, St. Paul, MN, USA
259
Karamanoğlu Mehmetbey University, Karaman, Turkey
260
California Institute of Technology, Pasadena, CA, USA
261
Bingol University, Bingol, Turkey
262
Georgian Technical University, Tbilisi, Georgia
263
Sinop University, Sinop, Turkey
264
Erciyes University, Kayseri, Turkey
265
Institute of Modern Physics and Key Laboratory of Nuclear Physics and Ion-beam Application (MOE)-Fudan University, Shanghai, China
266
Texas A &M University at Qatar, Doha, Qatar
267
Kyungpook National University, Daegu, Korea
268
Another Institute or International Laboratory Covered by a Cooperation Agreement with CERN, Geneva, Switzerland
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Yerevan Physics Institute, Yerevan, Armenia
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University of Florida, Gainesville, FL, USA
271
Imperial College, London, UK
272
Institute of Nuclear Physics of the Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
273
CERN, 1211, Geneva 23, Switzerland
j
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Received:
24
October
2022
Accepted:
24
June
2023
Published online:
22
August
2023
Abstract
Multijet events at large transverse momentum (
) are measured at 
using data recorded with the CMS detector at the LHC, corresponding to an integrated luminosity of 
. The multiplicity of jets with 
that are produced in association with a high- dijet system is measured in various ranges of the of the jet with the highest transverse momentum and as a function of the azimuthal angle difference 
between the two highest jets in the dijet system. The differential production cross sections are measured as a function of the transverse momenta of the four highest jets. The measurements are compared with leading and next-to-leading order matrix element calculations supplemented with simulations of parton shower, hadronization, and multiparton interactions. In addition, the measurements are compared with next-to-leading order matrix element calculations combined with transverse-momentum dependent parton densities and transverse-momentum dependent parton shower.
© CERN for the benefit of the CMS collaboration 2023
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