https://doi.org/10.1140/epjc/s10052-022-10896-8
Regular Article - Experimental Physics
Inclusive quarkonium production in pp collisions at 
= 5.02 TeV
1
A.I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, Yerevan, Armenia
2
AGH University of Science and Technology, Kraków, Poland
3
Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine
4
Department of Physics and Centre for Astroparticle Physics and Space Science (CAPSS), Bose Institute, Kolkata, India
5
Budker Institute for Nuclear Physics, Novosibirsk, Russia
6
California Polytechnic State University, San Luis Obispo, CA, USA
7
Central China Normal University, Wuhan, China
8
Centro de Aplicaciones Tecnológicas y Desarrollo Nuclear (CEADEN), Havana, Cuba
9
Centro de Investigación y de Estudios Avanzados (CINVESTAV), Mexico City and Mérida, Mexico
10
Chicago State University, Chicago, IL, USA
11
China Institute of Atomic Energy, Beijing, China
12
Chungbuk National University, Cheongju, Republic of Korea
13
Faculty of Mathematics, Physics and Informatics, Comenius University Bratislava, Bratislava, Slovakia
14
COMSATS University Islamabad, Islamabad, Pakistan
15
Creighton University, Omaha, NE, USA
16
Department of Physics, Aligarh Muslim University, Aligarh, India
17
Department of Physics, Pusan National University, Pusan, Republic of Korea
18
Department of Physics, Sejong University, Seoul, Republic of Korea
19
Department of Physics, University of California, Berkeley, CA, USA
20
Department of Physics, University of Oslo, Oslo, Norway
21
Department of Physics and Technology, University of Bergen, Bergen, Norway
22
Dipartimento di Fisica dell’Università and Sezione INFN, Cagliari, Italy
23
Dipartimento di Fisica dell’Università and Sezione INFN, Trieste, Italy
24
Dipartimento di Fisica dell’Università and Sezione INFN, Turin, Italy
25
Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Bologna, Italy
26
Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Catania, Italy
27
Dipartimento di Fisica e Astronomia dell’Università and Sezione INFN, Padua, Italy
28
Dipartimento di Fisica e Nucleare e Teorica, Università di Pavia, Pavia, Italy
29
Dipartimento di Fisica ‘E.R. Caianiello’ dell’Università and Gruppo Collegato INFN, Salerno, Italy
30
Dipartimento DISAT del Politecnico and Sezione INFN, Turin, Italy
31
Dipartimento di Scienze e Innovazione Tecnologica dell’Università del Piemonte Orientale and INFN Sezione di Torino, Alessandria, Italy
32
Dipartimento di Scienze MIFT, Università di Messina, Messina, Italy
33
Dipartimento Interateneo di Fisica ‘M. Merlin’ and Sezione INFN, Bari, Italy
34
European Organization for Nuclear Research (CERN), Geneva, Switzerland
35
Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Split, Croatia
36
Faculty of Engineering and Science, Western Norway University of Applied Sciences, Bergen, Norway
37
Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Prague, Czech Republic
38
Faculty of Science, P.J. Šafárik University, Košice, Slovakia
39
Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany
40
Fudan University, Shanghai, China
41
Gangneung-Wonju National University, Gangneung, Republic of Korea
42
Department of Physics, Gauhati University, Guwahati, India
43
Helmholtz-Institut für Strahlen- und Kernphysik, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany
44
Helsinki Institute of Physics (HIP), Helsinki, Finland
45
High Energy Physics Group, Universidad Autónoma de Puebla, Puebla, Mexico
46
Hiroshima University, Hiroshima, Japan
47
Hochschule Worms, Zentrum für Technologietransfer und Telekommunikation (ZTT), Worms, Germany
48
Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest, Romania
49
Indian Institute of Technology Bombay (IIT), Mumbai, India
50
Indian Institute of Technology Indore, Indore, India
51
Indonesian Institute of Sciences, Jakarta, Indonesia
52
INFN, Laboratori Nazionali di Frascati, Frascati, Italy
53
INFN, Sezione di Bari, Bari, Italy
54
INFN, Sezione di Bologna, Bologna, Italy
55
INFN, Sezione di Cagliari, Cagliari, Italy
56
INFN, Sezione di Catania, Catania, Italy
57
INFN, Sezione di Padova, Padua, Italy
58
INFN, Sezione di Pavia, Pavia, Italy
59
INFN, Sezione di Roma, Rome, Italy
60
INFN, Sezione di Torino, Turin, Italy
61
INFN, Sezione di Trieste, Trieste, Italy
62
Inha University, Incheon, Republic of Korea
63
Institute for Gravitational and Subatomic Physics (GRASP), Utrecht University/Nikhef, Utrecht, The Netherlands
64
Institute for Nuclear Research, Academy of Sciences, Moscow, Russia
65
Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
66
Institute of Physics, Homi Bhabha National Institute, Bhubaneswar, India
67
Institute of Physics of the Czech Academy of Sciences, Prague, Czech Republic
68
Institute of Space Science (ISS), Bucharest, Romania
69
Institut für Kernphysik, Johann Wolfgang Goethe-Universität Frankfurt, Frankfurt, Germany
70
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City, Mexico
71
Instituto de Física, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Brazil
72
Instituto de Física, Universidad Nacional Autónoma de México, Mexico City, Mexico
73
iThemba LABS, National Research Foundation, Somerset West, South Africa
74
Jeonbuk National University, Jeonju, Republic of Korea
75
Johann-Wolfgang-Goethe Universität Frankfurt Institut für Informatik, Fachbereich Informatik und Mathematik, Frankfurt, Germany
76
Joint Institute for Nuclear Research (JINR), Dubna, Russia
77
Korea Institute of Science and Technology Information, Daejeon, Republic of Korea
78
KTO Karatay University, Konya, Turkey
79
Laboratoire de Physique des 2 Infinis, Irène Joliot-Curie, Orsay, France
80
Laboratoire de Physique Subatomique et de Cosmologie, Université Grenoble-Alpes, CNRS-IN2P3, Grenoble, France
81
Lawrence Berkeley National Laboratory, Berkeley, CA, USA
82
Division of Particle Physics, Department of Physics, Lund University, Lund, Sweden
83
Moscow Institute for Physics and Technology, Moscow, Russia
84
Nagasaki Institute of Applied Science, Nagasaki, Japan
85
Nara Women’s University (NWU), Nara, Japan
86
Department of Physics, School of Science, National and Kapodistrian University of Athens, Athens, Greece
87
National Centre for Nuclear Research, Warsaw, Poland
88
National Institute of Science Education and Research, Homi Bhabha National Institute, Jatni, India
89
National Nuclear Research Center, Baku, Azerbaijan
90
National Research Centre Kurchatov Institute, Moscow, Russia
91
Niels Bohr Institute, University of Copenhagen, Copenhagen, Denmark
92
Nikhef, National institute for subatomic physics, Amsterdam, The Netherlands
93
NRC Kurchatov Institute IHEP, Protvino, Russia
94
NRC «Kurchatov»Institute-ITEP, Moscow, Russia
95
NRNU Moscow Engineering Physics Institute, Moscow, Russia
96
Nuclear Physics Group, STFC Daresbury Laboratory, Daresbury, UK
97
Nuclear Physics Institute of the Czech Academy of Sciences, Řež u Prahy, Czech Republic
98
Oak Ridge National Laboratory, Oak Ridge, TN, USA
99
Ohio State University, Columbus, OH, USA
100
Petersburg Nuclear Physics Institute, Gatchina, Russia
101
Physics Department, Faculty of science, University of Zagreb, Zagreb, Croatia
102
Physics Department, Panjab University, Chandigarh, India
103
Physics Department, University of Jammu, Jammu, India
104
Physics Department, University of Rajasthan, Jaipur, India
105
Physikalisches Institut, Eberhard-Karls-Universität Tübingen, Tübingen, Germany
106
Physikalisches Institut, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
107
Physik Department, Technische Universität München, Munich, Germany
108
Politecnico di Bari and Sezione INFN, Bari, Italy
109
Research Division and ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany
110
Russian Federal Nuclear Center (VNIIEF), Sarov, Russia
111
Saha Institute of Nuclear Physics, Homi Bhabha National Institute, Kolkata, India
112
School of Physics and Astronomy, University of Birmingham, Birmingham, UK
113
Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Lima, Peru
114
St. Petersburg State University, St. Petersburg, Russia
115
Stefan Meyer Institut für Subatomare Physik (SMI), Vienna, Austria
116
SUBATECH, IMT Atlantique, Université de Nantes, CNRS-IN2P3, Nantes, France
117
Suranaree University of Technology, Nakhon Ratchasima, Thailand
118
Technical University of Košice, Košice, Slovakia
119
The Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland
120
The University of Texas at Austin, Austin, TX, USA
121
Universidad Autónoma de Sinaloa, Culiacán, Mexico
122
Universidade de São Paulo (USP), São Paulo, Brazil
123
Universidade Estadual de Campinas (UNICAMP), Campinas, Brazil
124
Universidade Federal do ABC, Santo Andre, Brazil
125
University of Cape Town, Cape Town, South Africa
126
University of Houston, Houston, TX, USA
127
University of Jyväskylä, Jyväskylä, Finland
128
University of Kansas, Lawrence, KS, USA
129
University of Liverpool, Liverpool, UK
130
University of Science and Technology of China, Hefei, China
131
University of South-Eastern Norway, Tonsberg, Norway
132
University of Tennessee, Knoxville, TN, USA
133
University of the Witwatersrand, Johannesburg, South Africa
134
University of Tokyo, Tokyo, Japan
135
University of Tsukuba, Tsukuba, Japan
136
Université Clermont Auvergne, CNRS/IN2P3, LPC, Clermont-Ferrand, France
137
Université de Lyon, CNRS/IN2P3, Institut de Physique des 2 Infinis de Lyon, Lyon, France
138
Université de Strasbourg, CNRS, IPHC UMR 7178, 67000, Strasbourg, France
139
Départment de Physique Nucléaire (DPhN), IRFU, Université Paris-Saclay Centre d’Etudes de Saclay (CEA), Saclay, France
140
Università degli Studi di Foggia, Foggia, Italy
141
Università di Brescia, Brescia, Italy
142
Variable Energy Cyclotron Centre, Homi Bhabha National Institute, Kolkata, India
143
Warsaw University of Technology, Warsaw, Poland
144
Wayne State University, Detroit, MI, USA
145
Institut für Kernphysik, Westfälische Wilhelms-Universität Münster, Münster, Germany
146
Wigner Research Centre for Physics, Budapest, Hungary
147
Yale University, New Haven, CT, USA
148
Yonsei University, Seoul, Republic of Korea
149
Italian National Agency for New Technologies, Energy and Sustainable Economic Development (ENEA), Bologna, Italy
150
Dipartimento DET del Politecnico di Torino, Turin, Italy
151
M.V. Lomonosov Moscow State University, D.V. Skobeltsyn Institute of Nuclear Physics, Moscow, Russia
152
Department of Applied Physics, Aligarh Muslim University, Aligarh, India
153
Institute of Theoretical Physics, University of Wroclaw, Wroclaw, Poland
154
University of Kansas, Lawrence, KS, USA
155
CERN, 1211, Geneva 23, Switzerland
Received:
26
November
2021
Accepted:
9
October
2022
Published online:
23
January
2023
This article reports on the inclusive production cross section of several quarkonium states, 
, 
, 
, 
, and 
, measured with the ALICE detector at the LHC, in pp collisions at 
TeV. The analysis is performed in the dimuon decay channel at forward rapidity (
). The integrated cross sections and transverse-momentum (
) and rapidity (
) differential cross sections for , , , and the -to- cross section ratios are presented. The integrated cross sections, assuming unpolarized quarkonia, are: 
(
GeV/c) = 5.88 ± 0.03 ± 0.34
b, 
(
GeV/c) = 0.87 ± 0.06 ± 0.10
b, 
(
GeV/c) = 45.5 ± 3.9 ± 3.5 nb, 
( GeV/c) = 22.4 ± 3.2 ± 2.7 nb, and 
( GeV/c) = 4.9 ± 2.2 ± 1.0 nb, where the first (second) uncertainty is the statistical (systematic) one. For the first time, the cross sections of the three 
states, as well as the one as a function of and , are measured at TeV at forward rapidity. These measurements also significantly extend the reach and supersede previously published results. A comparison with ALICE measurements in pp collisions at 
, 7, 8, and 13 TeV is presented and the energy dependence of quarkonium production cross sections is discussed. Finally, the results are compared with the predictions from several production models.
© The Author(s) 2023
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