https://doi.org/10.1140/epjc/s10052-023-11833-z
Regular Article - Experimental Physics
Azimuthal correlations in Z +jets events in proton–proton collisions at 
1
Yerevan Physics Institute, Yerevan, Armenia
2
Institut für Hochenergiephysik, Vienna, Austria
3
Universiteit Antwerpen, Antwerpen, Belgium
4
Vrije Universiteit Brussel, Brussel, Belgium
5
Université Libre de Bruxelles, Bruxelles, Belgium
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Ghent University, Ghent, Belgium
7
Université Catholique de Louvain, Louvain-la-Neuve, Belgium
8
Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil
9
Universidade do Estado do Rio de Janeiro, Rio de Janeiro, Brazil
10
Universidade Estadual Paulista, Universidade Federal do ABC, São Paulo, Brazil
11
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
12
University of Sofia, Sofia, Bulgaria
13
Beihang University, Beijing, China
14
Department of Physics, Tsinghua University, Beijing, China
15
Institute of High Energy Physics, Beijing, China
16
State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, China
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Sun Yat-Sen University, Guangzhou, China
18
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
20
Universidad de Los Andes, Bogotá, Colombia
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Universidad de Antioquia, Medellin, Colombia
22
Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Split, Croatia
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Faculty of Science, University of Split, 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
27
Escuela Politecnica Nacional, Quito, Ecuador
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Universidad San Francisco de Quito, Quito, Ecuador
29
Academy of Scientific Research and Technology of the Arab Republic of Egypt, Egyptian Network of High Energy Physics, Cairo, Egypt
30
Center for High Energy Physics (CHEP-FU), Fayoum University, El-Fayoum, Egypt
31
National Institute of Chemical Physics and Biophysics, Tallinn, Estonia
32
Department of Physics, University of Helsinki, Helsinki, Finland
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Helsinki Institute of Physics, Helsinki, Finland
34
Lappeenranta-Lahti University of Technology, Lappeenranta, Finland
35
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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I. Physikalisches Institut, RWTH Aachen University, Aachen, Germany
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III. Physikalisches Institut A, RWTH Aachen University, Aachen, Germany
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III. Physikalisches Institut B, RWTH Aachen University, Aachen, Germany
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Deutsches Elektronen-Synchrotron, Hamburg, Germany
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University of Hamburg, Hamburg, Germany
45
Karlsruher Institut fuer Technologie, Karlsruhe, Germany
46
Institute of Nuclear and Particle Physics (INPP), NCSR Demokritos, Aghia Paraskevi, Greece
47
National and Kapodistrian University of Athens, Athens, Greece
48
National Technical University of Athens, Athens, Greece
49
University of Ioánnina, Ioannina, Greece
50
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
55
Panjab University, Chandigarh, India
56
University of Delhi, Delhi, India
57
Saha Institute of Nuclear Physics, HBNI, Kolkata, India
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Indian Institute of Technology Madras, Madras, India
59
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
63
Indian Institute of Science Education and Research (IISER), Pune, India
64
Isfahan University of Technology, Isfahan, Iran
65
Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
66
University College Dublin, Dublin, Ireland
67
INFN Sezione di Bari, Università di Bari, Politecnico di Bari, Bari, Italy
68
INFN Sezione di Bologna, Università di Bologna, Bologna, Italy
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INFN Sezione di Catania, Università di Catania, Catania, Italy
70
INFN Sezione di Firenze, Università di Firenze, Firenze, Italy
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INFN Laboratori Nazionali di Frascati, Frascati, Italy
72
INFN Sezione di Genova, Università di Genova, Genoa, Italy
73
INFN Sezione di Milano-Bicocca, Università di Milano-Bicocca, Milan, Italy
74
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; 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, 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
86
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
92
College of Engineering and Technology, American University of the Middle East (AUM), Dasman, Kuwait
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Riga Technical University, Riga, Latvia
94
Vilnius University, Vilnius, Lithuania
95
National Centre for Particle Physics, Universiti Malaya, Kuala Lumpur, Malaysia
96
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
100
University of Montenegro, Podgorica, Montenegro
101
University of Auckland, Auckland, New Zealand
102
University of Canterbury, Christchurch, New Zealand
103
National Centre for Physics, Quaid-I-Azam University, Islamabad, Pakistan
104
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
106
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
108
VINCA Institute of Nuclear Sciences, University of Belgrade, Belgrade, Serbia
109
Centro de Investigaciones Energéticas Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain
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Universidad Autónoma de Madrid, Madrid, Spain
111
Instituto Universitario de Ciencias y Tecnologías Espaciales de Asturias (ICTEA), Universidad de Oviedo, Oviedo, Spain
112
Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, Santander, Spain
113
University of Colombo, Colombo, Sri Lanka
114
University of Ruhuna, Department of Physics, Matara, Sri Lanka
115
CERN, European Organization for Nuclear Research, Geneva, Switzerland
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Paul Scherrer Institut, Villigen, Switzerland
117
ETH Zurich-Institute for Particle Physics and Astrophysics (IPA), Zurich, Switzerland
118
Universität Zürich, Zurich, Switzerland
119
National Central University, Chung-Li, Taiwan
120
National Taiwan University (NTU), Taipei, Taiwan
121
Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok, Thailand
122
Physics Department, Science and Art Faculty, Çukurova University, Adana, Turkey
123
Physics Department, Middle East Technical University, Ankara, Turkey
124
Bogazici University, Istanbul, Turkey
125
Istanbul Technical University, Istanbul, Turkey
126
Istanbul University, Istanbul, Turkey
127
Institute for Scintillation Materials of National Academy of Science of Ukraine, Kharkiv, Ukraine
128
National Science Centre, Kharkiv Institute of Physics and Technology, Kharkiv, Ukraine
129
University of Bristol, Bristol, UK
130
Rutherford Appleton Laboratory, Didcot, UK
131
Imperial College, London, UK
132
Brunel University, Uxbridge, UK
133
Baylor University, Waco, TX, USA
134
Catholic University of America, Washington, DC, USA
135
The University of Alabama, Tuscaloosa, AL, USA
136
Boston University, Boston, MA, USA
137
Brown University, Providence, RI, USA
138
University of California, Davis, Davis, CA, USA
139
University of California, Los Angeles, CA, USA
140
University of California, Riverside, Riverside, CA, USA
141
University of California, San Diego, La Jolla, CA, USA
142
Department of Physics, University of California, Santa Barbara, Santa Barbara, CA, USA
143
California Institute of Technology, Pasadena, CA, USA
144
Carnegie Mellon University, Pittsburgh, PA, USA
145
University of Colorado Boulder, Boulder, CO, USA
146
Cornell University, Ithaca, NY, USA
147
Fermi National Accelerator Laboratory, Batavia, IL, USA
148
University of Florida, Gainesville, FL, USA
149
Florida State University, Tallahassee, FL, USA
150
Florida Institute of Technology, Melbourne, FL, USA
151
University of Illinois at Chicago (UIC), Chicago, IL, USA
152
The University of Iowa, Iowa City, IA, USA
153
Johns Hopkins University, Baltimore, MD, USA
154
The University of Kansas, Lawrence, KS, USA
155
Kansas State University, Manhattan, KS, USA
156
Lawrence Livermore National Laboratory, Livermore, CA, USA
157
University of Maryland, College Park, MD, USA
158
Massachusetts Institute of Technology, Cambridge, MA, USA
159
University of Minnesota, Minneapolis, MN, USA
160
University of Nebraska-Lincoln, Lincoln, NE, USA
161
State University of New York at Buffalo, Buffalo, NY, USA
162
Northeastern University, Boston, MA, USA
163
Northwestern University, Evanston, IL, USA
164
University of Notre Dame, Notre Dame, IN, USA
165
The Ohio State University, Columbus, OH, USA
166
Princeton University, Princeton, NJ, USA
167
University of Puerto Rico, Mayaguez, PR, USA
168
Purdue University, West Lafayette, IN, USA
169
Purdue University Northwest, Hammond, IN, USA
170
Rice University, Houston, TX, USA
171
University of Rochester, Rochester, NY, USA
172
The Rockefeller University, New York, NY, USA
173
Rutgers, The State University of New Jersey, Piscataway, NJ, USA
174
University of Tennessee, Knoxville, TN, USA
175
Texas A &M University, College Station, TX, USA
176
Texas Tech University, Lubbock, TX, USA
177
Vanderbilt University, Nashville, TN, USA
178
University of Virginia, Charlottesville, VA, USA
179
Wayne State University, Detroit, MI, USA
180
University of Wisconsin-Madison, Madison, WI, USA
181
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
184
Institute of Basic and Applied Sciences, Faculty of Engineering, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt
185
Université Libre de Bruxelles, Bruxelles, Belgium
186
Universidade Estadual de Campinas, Campinas, Brazil
187
Federal University of Rio Grande do Sul, Porto Alegre, Brazil
188
UFMS, Nova Andradina, Brazil
189
The University of the State of Amazonas, Manaus, Brazil
190
University of Chinese Academy of Sciences, Beijing, China
191
Nanjing Normal University Department of Physics, Nanjing, China
192
The University of Iowa, Iowa City, IA, USA
193
University of Chinese Academy of Sciences, Beijing, China
194
an institute or an international laboratory covered by a cooperation agreement with CERN, Geneva, Switzerland
195
Ain Shams University, Cairo, Egypt
196
British University in Egypt, Cairo, Egypt
197
Purdue University, West Lafayette, IN, USA
198
Université de Haute Alsace, Mulhouse, France
199
Ilia State University, Tbilisi, Georgia
200
Erzincan Binali Yildirim University, Erzincan, Turkey
201
CERN, European Organization for Nuclear Research, Geneva, Switzerland
202
University of Hamburg, Hamburg, Germany
203
RWTH Aachen University, III. Physikalisches Institut A, Aachen, Germany
204
Isfahan University of Technology, Isfahan, Iran
205
Brandenburg University of Technology, Cottbus, Germany
206
Forschungszentrum Jülich, Juelich, Germany
207
Physics Department, Faculty of Science, Assiut University, Assiut, Egypt
208
Karoly Robert Campus, MATE Institute of Technology, Gyongyos, Hungary
209
Institute of Physics, University of Debrecen, Debrecen, Hungary
210
Institute of Nuclear Research ATOMKI, Debrecen, Hungary
211
Universitatea Babes-Bolyai-Facultatea de Fizica, Cluj-Napoca, Romania
212
MTA-ELTE Lendület CMS Particle and Nuclear Physics Group, Eötvös Loránd University, Budapest, Hungary
213
Faculty of Informatics, University of Debrecen, Debrecen, Hungary
214
Wigner Research Centre for Physics, Budapest, Hungary
215
Punjab Agricultural University, Ludhiana, India
216
UPES-University of Petroleum and Energy Studies, Dehradun, India
217
Shoolini University, Solan, India
218
University of Hyderabad, Hyderabad, India
219
University of Visva-Bharati, Santiniketan, India
220
Indian Institute of Science (IISc), Bangalore, India
221
Indian Institute of Technology (IIT), Mumbai, India
222
IIT Bhubaneswar, Bhubaneswar, India
223
Institute of Physics, Bhubaneswar, India
224
Deutsches Elektronen-Synchrotron, Hamburg, Germany
225
Department of Physics, Isfahan University of Technology, Isfahan, Iran
226
Sharif University of Technology, Tehran, Iran
227
Department of Physics, University of Science and Technology of Mazandaran, Behshahr, Iran
228
Italian National Agency for New Technologies, Energy and Sustainable Economic Development, Bologna, Italy
229
Centro Siciliano di Fisica Nucleare e di Struttura Della Materia, Catania, Italy
230
Scuola Superiore Meridionale, Università di Napoli ’Federico II’, Naples, Italy
231
Università di Napoli ’Federico II’, Naples, Italy
232
Consiglio Nazionale delle Ricerche-Istituto Officina dei Materiali, Perugia, Italy
233
Department of Applied Physics, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia
234
Consejo Nacional de Ciencia y Tecnología, Mexico City, Mexico
235
IRFU, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
236
Faculty of Physics, University of Belgrade, Belgrade, Serbia
237
Trincomalee Campus, Eastern University, Sri Lanka, Nilaveli, Sri Lanka
238
INFN Sezione di Pavia, Università di Pavia, Pavia, Italy
239
National and Kapodistrian University of Athens, Athens, Greece
240
Ecole Polytechnique Fédérale Lausanne, Lausanne, Switzerland
241
Universität Zürich, Zurich, Switzerland
242
Stefan Meyer Institute for Subatomic Physics, Vienna, Austria
243
Laboratoire d’Annecy-le-Vieux de Physique des Particules, IN2P3-CNRS, Annecy-le-Vieux, France
244
Şırnak University, Sirnak, Turkey
245
Near East University, Research Center of Experimental Health Science, Mersin, Turkey
246
Konya Technical University, Konya, Turkey
247
Izmir Bakircay University, Izmir, Turkey
248
Adiyaman University, Adiyaman, Turkey
249
Necmettin Erbakan University, Konya, Turkey
250
Bozok Universitetesi Rektörlügü, Yozgat, Turkey
251
Marmara University, Istanbul, Turkey
252
Milli Savunma University, Istanbul, Turkey
253
Kafkas University, Kars, Turkey
254
Istanbul Bilgi University, Istanbul, Turkey
255
Hacettepe University, Ankara, Turkey
256
Faculty of Engineering, Istanbul University-Cerrahpasa, Istanbul, Turkey
257
Yildiz Technical University, Istanbul, Turkey
258
Vrije Universiteit Brussel, Brussel, Belgium
259
School of Physics and Astronomy, University of Southampton, Southampton, UK
260
IPPP Durham University, Durham, UK
261
Monash University, Faculty of Science, Clayton, Australia
262
Università di Torino, Turin, Italy
263
Bethel University, St. Paul, MN, USA
264
Karamanoğlu Mehmetbey University, Karaman, Turkey
265
California Institute of Technology, Pasadena, CA, USA
266
United States Naval Academy, Annapolis, MD, USA
267
Bingol University, Bingol, Turkey
268
Georgian Technical University, Tbilisi, Georgia
269
Sinop University, Sinop, Turkey
270
Erciyes University, Kayseri, Turkey
271
Institute of Modern Physics and Key Laboratory of Nuclear Physics and Ion-beam Application (MOE)-Fudan University, Shanghai, China
272
Texas A &M University at Qatar, Doha, Qatar
273
Kyungpook National University, Daegu, Korea
274
another institute or international laboratory covered by a cooperation agreement with CERN, Geneva, Switzerland
275
Yerevan Physics Institute, Yerevan, Armenia
276
University of Florida, Gainesville, FL, USA
277
Imperial College, London, UK
278
Institute of Nuclear Physics of the Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
279
CERN, 1211, Geneva 23, Switzerland
w
cms-publication-committee-chair@cern.ch
Received:
28
October
2022
Accepted:
17
February
2023
Published online:
11
August
2023
The production of Z bosons associated with jets is measured in 
collisions at 
with data recorded with the CMS experiment at the LHC corresponding to an integrated luminosity of 36.3
. The multiplicity of jets with transverse momentum 
is measured for different regions of the Z boson’s 
, from lower than 10
to higher than 100. The azimuthal correlation 
between the Z boson and the leading jet, as well as the correlations between the two leading jets are measured in three regions of . The measurements are compared with several predictions at leading and next-to-leading orders, interfaced with parton showers. Predictions based on transverse-momentum dependent parton distributions and corresponding parton showers give a good description of the measurement in the regions where multiple parton interactions and higher jet multiplicities are not important. The effects of multiple parton interactions are shown to be important to correctly describe the measured spectra in the low regions.
W. De Boer, P. Baillon, G.R. Snow: Deceased.
© The Author(s) 2023
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