https://doi.org/10.1140/epjc/s10052-018-6033-4
Regular Article - Experimental Physics
Azimuthal correlations for inclusive 2-jet, 3-jet, and 4-jet events in pp collisions at 
1
Yerevan Physics Institute, Yerevan, Armenia
2
Institut für Hochenergiephysik, Vienna, Austria
3
Institute for Nuclear Problems, Minsk, Belarus
4
Universiteit Antwerpen, Antwerp, Belgium
5
Vrije Universiteit Brussel, Brussel, Belgium
6
Université Libre de Bruxelles, Brussel, Belgium
7
Ghent University, Ghent, Belgium
8
Université Catholique de Louvain, Louvain-la-Neuve, Belgium
9
Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil
10
Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil
11
Universidade Estadual Paulista , Universidade Federal do ABC, São Paulo, Brazil
12
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
13
University of Sofia, Sofia, Bulgaria
14
Beihang University, Beijing, China
15
Institute of High Energy Physics, Beijing, China
16
State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, China
17
Universidad de Los Andes, Bogotá, Colombia
18
University of Split, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, Split, Croatia
19
University of Split, Faculty of Science, Split, Croatia
20
Institute Rudjer Boskovic, Zagreb, Croatia
21
University of Cyprus, Nicosia, Cyprus
22
Charles University, Prague, Czech Republic
23
Universidad San Francisco de Quito, Quito, Ecuador
24
Academy of Scientific Research and Technology of the Arab Republic of Egypt, Egyptian Network of High Energy Physics, Cairo, Egypt
25
National Institute of Chemical Physics and Biophysics, Tallinn, Estonia
26
Department of Physics, University of Helsinki, Helsinki, Finland
27
Helsinki Institute of Physics, Helsinki, Finland
28
Lappeenranta University of Technology, Lappeenranta, Finland
29
IRFU, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
30
Laboratoire Leprince-Ringuet, Ecole polytechnique, CNRS/IN2P3, Université Paris-Saclay, Palaiseau, France
31
Université de Strasbourg, CNRS, IPHC UMR 7178, 67000, Strasbourg, France
32
Centre de Calcul de l’Institut National de Physique Nucleaire et de Physique des Particules, CNRS/IN2P3, Villeurbanne, France
33
Université de Lyon, Université Claude Bernard Lyon 1, CNRS-IN2P3, Institut de Physique Nucléaire de Lyon, Villeurbanne, France
34
Georgian Technical University, Tbilisi, Georgia
35
Tbilisi State University, Tbilisi, Georgia
36
RWTH Aachen University, I. Physikalisches Institut, Aachen, Germany
37
RWTH Aachen University, III. Physikalisches Institut A, Aachen, Germany
38
RWTH Aachen University, III. Physikalisches Institut B, Aachen, Germany
39
Deutsches Elektronen-Synchrotron, Hamburg, Germany
40
University of Hamburg, Hamburg, Germany
41
Institut für Experimentelle Kernphysik, Karlsruhe, Germany
42
Institute of Nuclear and Particle Physics (INPP), NCSR Demokritos, Aghia Paraskevi, Greece
43
National and Kapodistrian University of Athens, Athens, Greece
44
National Technical University of Athens, Athens, Greece
45
University of Ioánnina, Ioannina, Greece
46
MTA-ELTE Lendület CMS Particle and Nuclear Physics Group, Eötvös Loránd University, Budapest, Hungary
47
Wigner Research Centre for Physics, Budapest, Hungary
48
Institute of Nuclear Research ATOMKI, Debrecen, Hungary
49
Institute of Physics, University of Debrecen, Debrecen, Hungary
50
Indian Institute of Science (IISc), Bangalore, India
51
National Institute of Science Education and Research, Bhubaneswar, India
52
Panjab University, Chandigarh, India
53
University of Delhi, Delhi, India
54
Saha Institute of Nuclear Physics, HBNI, Kolkata, India
55
Indian Institute of Technology Madras, Chennai, India
56
Bhabha Atomic Research Centre, Mumbai, India
57
Tata Institute of Fundamental Research-A, Mumbai, India
58
Tata Institute of Fundamental Research-B, Mumbai, India
59
Indian Institute of Science Education and Research (IISER), Pune, India
60
Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
61
University College Dublin, Dublin, Ireland
62
INFN Sezione di Bari , Università di Bari , Politecnico di Bari, Bari, Italy
63
INFN Sezione di Bologna, Università di Bologna, Bologna, Italy
64
INFN Sezione di Catania , Università di Catania, Catania, Italy
65
INFN Sezione di Firenze , Università di Firenze, Florence, Italy
66
INFN Laboratori Nazionali di Frascati, Frascati, Italy
67
INFN Sezione di Genova , Università di Genova, Genoa, Italy
68
INFN Sezione di Milano-Bicocca , Università di Milano-Bicocca, Milan, Italy
69
INFN Sezione di Napoli , Università di Napoli ’Federico II’ , Napoli , Italy, Università della Basilicata , Potenza, Italy, Università G. Marconi, Rome, Italy
70
INFN Sezione di Padova , Università di Padova , Padova, Italy, Università di Trento, Trento, Italy
71
INFN Sezione di Pavia , Università di Pavia, Pavia, Italy
72
INFN Sezione di Perugia , Università di Perugia, Perugia, Italy
73
INFN Sezione di Pisa , Università di Pisa , Scuola Normale Superiore di Pisa, Pisa, Italy
74
INFN Sezione di Roma , Sapienza Università di Roma, Rome, Italy
75
INFN Sezione di Torino , Università di Torino , Torino, Italy, Università del Piemonte Orientale, Novara, Italy
76
INFN Sezione di Trieste , Università di Trieste, Trieste, Italy
77
Kyungpook National University, Daegu, Korea
78
Chonbuk National University, Jeonju, Korea
79
Chonnam National University, Institute for Universe and Elementary Particles, Kwangju, Korea
80
Hanyang University, Seoul, Korea
81
Korea University, Seoul, Korea
82
Seoul National University, Seoul, Korea
83
University of Seoul, Seoul, Korea
84
Sungkyunkwan University, Suwon, Korea
85
Vilnius University, Vilnius, Lithuania
86
National Centre for Particle Physics, Universiti Malaya, Kuala Lumpur, Malaysia
87
Centro de Investigacion y de Estudios Avanzados del IPN, Mexico City, Mexico
88
Universidad Iberoamericana, Mexico City, Mexico
89
Benemerita Universidad Autonoma de Puebla, Puebla, Mexico
90
Universidad Autónoma de San Luis Potosí, San Luis Potosí, Mexico
91
University of Auckland, Auckland, New Zealand
92
University of Canterbury, Christchurch, New Zealand
93
National Centre for Physics, Quaid-I-Azam University, Islamabad, Pakistan
94
National Centre for Nuclear Research, Swierk, Poland
95
Institute of Experimental Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland
96
Laboratório de Instrumentação e Física Experimental de Partículas, Lisbon, Portugal
97
Joint Institute for Nuclear Research, Dubna, Russia
98
Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg, Russia
99
Institute for Nuclear Research, Moscow, Russia
100
Institute for Theoretical and Experimental Physics, Moscow, Russia
101
Moscow Institute of Physics and Technology, Moscow, Russia
102
National Research Nuclear University ‘Moscow Engineering Physics Institute’ (MEPhI), Moscow, Russia
103
P.N. Lebedev Physical Institute, Moscow, Russia
104
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
105
Novosibirsk State University (NSU), Novosibirsk, Russia
106
State Research Center of Russian Federation, Institute for High Energy Physics, Protvino, Russia
107
University of Belgrade, Faculty of Physics and Vinca Institute of Nuclear Sciences, Belgrade, Serbia
108
Centro de Investigaciones Energéticas Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain
109
Universidad Autónoma de Madrid, Madrid, Spain
110
Universidad de Oviedo, Oviedo, Spain
111
Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, Santander, Spain
112
CERN, European Organization for Nuclear Research, Geneva, Switzerland
113
Paul Scherrer Institut, Villigen, Switzerland
114
ETH Zurich - Institute for Particle Physics and Astrophysics (IPA), Zurich, Switzerland
115
Universität Zürich, Zurich, Switzerland
116
National Central University, Chung-Li, Taiwan
117
National Taiwan University (NTU), Taipei, Taiwan
118
Chulalongkorn University, Faculty of Science, Department of Physics, Bangkok, Thailand
119
Çukurova University, Physics Department, Science and Art Faculty, Adana, Turkey
120
Middle East Technical University, Physics Department, Ankara, Turkey
121
Bogazici University, Istanbul, Turkey
122
Istanbul Technical University, Istanbul, Turkey
123
Institute for Scintillation Materials of National Academy of Science of Ukraine, Kharkov, Ukraine
124
National Scientific Center, Kharkov Institute of Physics and Technology, Kharkov, Ukraine
125
University of Bristol, Bristol, UK
126
Rutherford Appleton Laboratory, Didcot, UK
127
Imperial College, London, UK
128
Brunel University, Uxbridge, UK
129
Baylor University, Waco, USA
130
Catholic University of America, Washington, DC, USA
131
The University of Alabama, Tuscaloosa, USA
132
Boston University, Boston, USA
133
Brown University, Providence, USA
134
University of California, Davis, Davis, USA
135
University of California, Los Angeles, USA
136
University of California, Riverside, Riverside, USA
137
University of California, San Diego, La Jolla, USA
138
University of California, Santa Barbara - Department of Physics, Santa Barbara, USA
139
California Institute of Technology, Pasadena, USA
140
Carnegie Mellon University, Pittsburgh, USA
141
University of Colorado Boulder, Boulder, USA
142
Cornell University, Ithaca, USA
143
Fermi National Accelerator Laboratory, Batavia, USA
144
University of Florida, Gainesville, USA
145
Florida International University, Miami, USA
146
Florida State University, Tallahassee, USA
147
Florida Institute of Technology, Melbourne, USA
148
University of Illinois at Chicago (UIC), Chicago, USA
149
The University of Iowa, Iowa City, USA
150
Johns Hopkins University, Baltimore, USA
151
The University of Kansas, Lawrence, USA
152
Kansas State University, Manhattan, USA
153
Lawrence Livermore National Laboratory, Livermore, USA
154
University of Maryland, College Park, USA
155
Massachusetts Institute of Technology, Cambridge, USA
156
University of Minnesota, Minneapolis, USA
157
University of Mississippi, Oxford, USA
158
University of Nebraska-Lincoln, Lincoln, USA
159
State University of New York at Buffalo, Buffalo, USA
160
Northeastern University, Boston, USA
161
Northwestern University, Evanston, USA
162
University of Notre Dame, Notre Dame, USA
163
The Ohio State University, Columbus, USA
164
Princeton University, Princeton, USA
165
University of Puerto Rico, Mayagüez, USA
166
Purdue University, West Lafayette, USA
167
Purdue University Northwest, Hammond, USA
168
Rice University, Houston, USA
169
University of Rochester, Rochester, USA
170
The Rockefeller University, New York, USA
171
Rutgers, The State University of New Jersey, Piscataway, USA
172
University of Tennessee, Knoxville, USA
173
Texas A&M University, College Station, USA
174
Texas Tech University, Lubbock, USA
175
Vanderbilt University, Nashville, USA
176
University of Virginia, Charlottesville, USA
177
Wayne State University, Detroit, USA
178
University of Wisconsin-Madison, Madison, WI, USA
179
CERN, 1211, Geneva 23, Switzerland
* e-mail: cms-publication-committee-chair@cern.ch
Received:
14
December
2017
Accepted:
28
June
2018
Published online:
10
July
2018
Azimuthal correlations between the two jets with the largest transverse momenta 
in inclusive 2-, 3-, and 4-jet events are presented for several regions of the leading jet up to 4
. For 3- and 4-jet scenarios, measurements of the minimum azimuthal angles between any two of the three or four leading jets are also presented. The analysis is based on data from proton–proton collisions collected by the CMS Collaboration at a centre-of-mass energy of 13, corresponding to an integrated luminosity of 35.9
. Calculations based on leading-order matrix elements supplemented with parton showering and hadronization do not fully describe the data, so next-to-leading-order calculations matched with parton shower and hadronization models are needed to better describe the measured distributions. Furthermore, we show that azimuthal jet correlations are sensitive to details of the parton showering, hadronization, and multiparton interactions. A next-to-leading-order calculation matched with parton showers in the MC@NLO method, as implemented in herwig 7, gives a better overall description of the measurements than the powheg method.
© CERN for the benefit of the CMS collaboration, 2018
