https://doi.org/10.1140/epjc/s10052-020-7858-1
Regular Article - Experimental Physics
Measurement of differential cross sections and charge ratios for t-channel single top quark production in proton–proton collisions at 
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Yerevan Physics Institute, Yerevan, Armenia
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Institut für Hochenergiephysik, Wien, Austria
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Institute for Nuclear Problems, Minsk, Belarus
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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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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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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 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, Paris, France
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Université de Strasbourg, CNRS, IPHC UMR 7178, Strasbourg, France
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Centre de Calcul de l’Institut National de Physique Nucleaire et de Physique des Particules, CNRS/IN2P3, Villeurbanne, France
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Université de Lyon, Université Claude Bernard Lyon 1, CNRS-IN2P3, Institut de Physique Nucléaire de Lyon, Villeurbanne, France
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Georgian Technical University, Tbilisi, Georgia
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Tbilisi State 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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Eszterhazy Karoly University, Karoly Robert Campus, Gyongyos, Hungary
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Indian Institute of Science (IISc), Bangalore, India
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National Institute of Science Education and Research, HBNI, Bhubaneswar, 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, Chennai, 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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Indian Institute of Science Education and Research (IISER), Pune, India
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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, Firenze, 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, Padova, 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
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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, Torino, 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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Sungkyunkwan University, Suwon, Korea
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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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Universidad Autónoma de San Luis Potosí, San Luis Potosí, 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, Kraków, 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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Joint Institute for Nuclear Research, Dubna, Russia
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Petersburg Nuclear Physics Institute, Gatchina (St. Petersburg), Russia
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Institute for Nuclear Research, Moscow, Russia
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Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of NRC ‘Kurchatov Institute’, Moscow, Russia
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Moscow Institute of Physics and Technology, Moscow, Russia
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National Research Nuclear University ’Moscow Engineering Physics Institute’ (MEPhI), Moscow, Russia
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P.N. Lebedev Physical Institute, Moscow, Russia
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Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
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Novosibirsk State University (NSU), Novosibirsk, Russia
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Institute for High Energy Physics of National Research Centre ‘Kurchatov Institute’, Protvino, Russia
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National Research Tomsk Polytechnic University, Tomsk, Russia
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Tomsk State University, Tomsk, Russia
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University of Belgrade: Faculty of Physics and VINCA Institute of Nuclear Sciences, 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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Chulalongkorn University, Faculty of Science, Department of Physics, Bangkok, Thailand
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Çukurova University, Physics Department, Science and Art Faculty, Adana, Turkey
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Middle East Technical University, Physics Department, 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, Kharkov, Ukraine
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National Scientific Center, Kharkov Institute of Physics and Technology, Kharkov, 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, USA
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Catholic University of America, Washington, DC, USA
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The University of Alabama, Tuscaloosa, USA
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Boston University, Boston, USA
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Brown University, Providence, USA
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University of California, Davis, Davis, USA
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University of California, Los Angeles, USA
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University of California, Riverside, Riverside, USA
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University of California, San Diego, La Jolla, USA
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University of California, Santa Barbara-Department of Physics, Santa Barbara, USA
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California Institute of Technology, Pasadena, USA
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Carnegie Mellon University, Pittsburgh, USA
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University of Colorado Boulder, Boulder, USA
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Cornell University, Ithaca, USA
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Fermi National Accelerator Laboratory, Batavia, USA
158
University of Florida, Gainesville, USA
159
Florida International University, Miami, USA
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Florida State University, Tallahassee, USA
161
Florida Institute of Technology, Melbourne, USA
162
University of Illinois at Chicago (UIC), Chicago, USA
163
The University of Iowa, Iowa City, USA
164
Johns Hopkins University, Baltimore, USA
165
The University of Kansas, Lawrence, USA
166
Kansas State University, Manhattan, USA
167
Lawrence Livermore National Laboratory, Livermore, USA
168
University of Maryland, College Park, USA
169
Massachusetts Institute of Technology, Cambridge, USA
170
University of Minnesota, Minneapolis, USA
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University of Mississippi, Oxford, USA
172
University of Nebraska-Lincoln, Lincoln, USA
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State University of New York at Buffalo, Buffalo, USA
174
Northeastern University, Boston, USA
175
Northwestern University, Evanston, USA
176
University of Notre Dame, Notre Dame, USA
177
The Ohio State University, Columbus, USA
178
Princeton University, Princeton, USA
179
University of Puerto Rico, Mayaguez, USA
180
Purdue University, West Lafayette, USA
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Purdue University Northwest, Hammond, USA
182
Rice University, Houston, USA
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University of Rochester, Rochester, USA
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Rutgers, The State University of New Jersey, Piscataway, USA
185
University of Tennessee, Knoxville, USA
186
Texas A&M University, College Station, USA
187
Texas Tech University, Lubbock, USA
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Vanderbilt University, Nashville, USA
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University of Virginia, Charlottesville, USA
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Wayne State University, Detroit, USA
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University of Wisconsin-Madison, Madison, WI, USA
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CERN, 1211, Geneva 23, Switzerland
* e-mail: cms-publication-committee-chair@cern.ch
Received:
18
July
2019
Accepted:
19
March
2020
Published online:
6
May
2020
A measurement is presented of differential cross sections for t-channel single top quark and antiquark production in proton–proton collisions at a centre-of-mass energy of 13 by the CMS experiment at the LHC. From a data set corresponding to an integrated luminosity of 35.9
, events containing one muon or electron and two or three jets are analysed. The cross section is measured as a function of the top quark transverse momentum (
), rapidity, and polarisation angle, the charged lepton and rapidity, and the of the 
boson from the top quark decay. In addition, the charge ratio is measured differentially as a function of the top quark, charged lepton, and boson kinematic observables. The results are found to be in agreement with standard model predictions using various next-to-leading-order event generators and sets of parton distribution functions. Additionally, the spin asymmetry, sensitive to the top quark polarisation, is determined from the differential distribution of the polarisation angle at parton level to be 
, in agreement with the standard model prediction.
© CERN for the benefit of the CMS collaboration, 2020
