Correlations between azimuthal anisotropy and mean transverse momentum in pp, pPb, and peripheral PbPb collisions
Creators: name: Tumasyan, Armen
name: Adam, Wolfgang
name: Andrejkovic, Janik Walter
name: Bergauer, Thomas
name: Chatterjee, Suman
name: Damanakis, Konstantinos
name: Dragicevic, Marko
name: Escalante Del Valle, Alberto
name: Hussain, Priya Sajid
name: Jeitler, Manfred
name: Krammer, Natascha
name: Lechner, Lukas
name: Liko, Dietrich
name: Mikulec, Ivan
name: Paulitsch, Peter
name: Pitters, Florian Michael
name: Schieck, Jochen
name: Schöfbeck, Robert
name: Schwarz, Dennis
name: Sonawane, Mangesh
name: Templ, Sebastian
name: Waltenberger, Wolfgang
name: Wulz, Claudia-Elisabeth
name: Darwish, Mohamed Rashad
name: Janssen, Tahys
name: Kello, Tomas
name: Rejeb Sfar, Haifa
name: Van Mechelen, Pierre
name: Bols, Emil Sørensen
name: D'Hondt, Jorgen
name: De Moor, Alexandre
name: Delcourt, Martin
name: El Faham, Hesham
name: Lowette, Steven
name: Moortgat, Seth
name: Morton, Alexander
name: Müller, Denise
name: Sahasransu, Abanti Ranadhir
name: Tavernier, Stefaan
name: Van Doninck, Walter
name: Vannerom, David
name: Clerbaux, Barbara
name: De Lentdecker, Gilles
name: Favart, Laurent
name: Hohov, Dmytro
name: Jaramillo, Johny
name: Lee, Kyeongpil
name: Mahdavikhorrami, Mostafa
name: Makarenko, Inna
name: Malara, Andrea
name: Paredes, Santiago
name: Pétré, Laurent
name: Postiau, Nicolas
name: Thomas, Laurent
name: Vanden Bemden, Max
name: Vander Velde, Catherine
name: Vanlaer, Pascal
name: Dobur, Didar
name: Knolle, Joscha
name: Lambrecht, Luka
name: Mestdach, Gianny
name: Rendón, César
name: Samalan, Amrutha
name: Skovpen, Kirill
name: Tytgat, Michael
name: Van Den Bossche, Niels
name: Vermassen, Basile
name: Wezenbeek, Liam
name: Benecke, Anna
name: Bruno, Giacomo
name: Bury, Florian Joel J.
name: Caputo, Claudio
name: David, Pieter
name: Delaere, Christophe
name: Donertas, Izzeddin Suat
name: Giammanco, Andrea
name: Jaffel, Khawla
name: Jain, Sandhya
name: Lemaitre, Vincent
name: Mondal, Kuntal
name: Taliercio, Angela
name: Tran, Tu Thong
name: Vischia, Pietro
name: Wertz, Sébastien
name: Alves, Gilvan
name: Coelho, Eduardo
name: Hensel, Carsten
name: Moraes, Arthur
name: Rebello Teles, Patricia
name: Aldá Júnior, Walter Luiz
name: Alves Gallo Pereira, Miguel
name: Barroso Ferreira Filho, Mapse
name: Brandao Malbouisson, Helena
name: Carvalho, Wagner
name: Chinellato, Jose
name: Da Costa, Eliza Melo
name: Da Silveira, Gustavo Gil
name: De Jesus Damiao, Dilson
name: Dos Santos Sousa, Vitor
name: Fonseca De Souza, Sandro
name: Martins, Jordan
name: Mora Herrera, Clemencia
name: Mota Amarilo, Kevin
name: Mundim, Luiz
name: Nogima, Helio
name: Santoro, Alberto
name: Silva Do Amaral, Sheila Mara
name: Sznajder, Andre
name: Thiel, Mauricio
name: Vilela Pereira, Antonio
name: Bernardes, Cesar Augusto
name: Calligaris, Luigi
name: Tomei, Thiago
name: De Moraes Gregores, Eduardo
name: Mercadante, Pedro G.
name: Novaes, Sergio F.
name: Padula, Sandra
name: Aleksandrov, Aleksandar
name: Antchev, Georgy
name: Hadjiiska, Roumyana
name: Iaydjiev, Plamen
name: Misheva, Milena
name: Rodozov, Mircho
name: Shopova, Mariana
name: Sultanov, Georgi
name: Dimitrov, Anton
name: Ivanov, Todor
name: Litov, Leander
name: Pavlov, Borislav
name: Petkov, Peicho
name: Petrov, Anton
name: Shumka, Elton
name: Thakur, Shalini
name: Cheng, Tongguang
name: Javaid, Tahir
name: Mittal, Monika
name: Yuan, Li
name: Ahmad, Muhammad
name: Bauer, Gerry
name: Hu, Zhen
name: Lezki, Samet
name: Yi, Kai
name: Chen, Guo-Ming
name: Chen, He-Sheng
name: Chen, Mingshui
name: Iemmi, Fabio
name: Jiang, Chun-Hua
name: Kapoor, Anshul
name: Liao, Hongbo
name: Liu, Zhenan
name: Milosevic, Vukasin
name: Monti, Fabio
name: Sharma, Ramkrishna
name: Tao, Junquan
name: Thomas-Wilsker, Joshuha
name: Wang, Jin
name: Zhang, Huaqiao
name: Zhao, Jingzhou
name: Agapitos, Antonis
name: An, Ying
name: Ban, Yong
name: Levin, Andrew
name: Li, Congqiao
name: Li, Qiang
name: Lyu, Xudong
name: Mao, Yajun
name: Qian, Si-Jin
name: Sun, Xiaohu
name: Wang, Dayong
name: Xiao, Jie
name: Yang, Heng
name: Lu, Meng
name: You, Zhengyun
name: Lu, Nan
name: Gao, Xuyang
name: Leggat, Duncan
name: Okawa, Hideki
name: Zhang, Yu
name: Lin, Zhen
name: Lu, Chenfeng
name: Xiao, Meng
name: Avila, Carlos
name: Barbosa Trujillo, Diego Andres
name: Cabrera, Andrés
name: Florez, Carlos
name: Fraga, Jorge
name: Mejia Guisao, Jhovanny
name: Ramirez, Felipe
name: Rodriguez, Manuel
name: Ruiz Alvarez, José David
name: Giljanovic, Duje
name: Godinovic, Nikola
name: Lelas, Damir
name: Puljak, Ivica
name: Antunovic, Zeljko
name: Kovac, Marko
name: Sculac, Toni
name: Brigljevic, Vuko
name: Chitroda, Bhakti Kanulal
name: Ferencek, Dinko
name: Mishra, Saswat
name: Roguljic, Matej
name: Starodumov, Andrei
name: Susa, Tatjana
name: Attikis, Alexandros
name: Christoforou, Konstantinos
name: Kolosova, Marina
name: Konstantinou, Sotiroulla
name: Mousa, Jehad
name: Nicolaou, Charalambos
name: Ptochos, Fotios
name: Razis, Panos A.
name: Rykaczewski, Hans
name: Saka, Halil
name: Stepennov, Anton
name: Finger, Miroslav
name: Finger, Michael
name: Kveton, Antonin
name: Ayala, Edy
name: Carrera Jarrin, Edgar
name: Abdelalim, Ahmed Ali
name: Salama, Elsayed
name: Mahmoud, Mohammed
name: Mohammed, Yasser
name: Bhowmik, Sandeep
name: Dewanjee, Ram Krishna
name: Ehataht, Karl
name: Kadastik, Mario
name: Lange, Torben
name: Nandan, Saswati
name: Nielsen, Christine
name: Pata, Joosep
name: Raidal, Martti
name: Tani, Laurits
name: Veelken, Christian
name: Eerola, Paula
name: Kirschenmann, Henning
name: Osterberg, Kenneth
name: Voutilainen, Mikko
name: Bharthuar, Shudhashil
name: Brücken, Erik
name: Garcia Fuentes, Francisco Ignacio
name: Havukainen, Joona
name: Kim, Min Suk
name: Kinnunen, Ritva
name: Lampén, Tapio
name: Lassila-Perini, Kati
name: Lehti, Sami
name: Lindén, Tomas
name: Lotti, Mikko
name: Martikainen, Laura
name: Myllymäki, Mikael
name: Ott, Jennifer
name: Rantanen, Milla-maarit
name: Siikonen, Hannu
name: Tuominen, Eija
name: Tuominiemi, Jorma
name: Luukka, Panja-Riina
name: Petrow, Henri
name: Tuuva, Tuure
name: Amendola, Chiara
name: Besancon, Marc
name: Couderc, Fabrice
name: Dejardin, Marc
name: Denegri, Daniel
name: Faure, Jean-Louis
name: Ferri, Federico
name: Ganjour, Serguei
name: Gras, Philippe
name: Hamel de Monchenault, Gautier
name: Lohezic, Victor
name: Malcles, Julie
name: Rander, John
name: Rosowsky, André
name: Sahin, Mehmet Özgür
name: Savoy-Navarro, Aurore
name: Simkina, Polina
name: Titov, Maksym
name: Baldenegro Barrera, Cristian
name: Beaudette, Florian
name: Buchot Perraguin, Axel
name: Busson, Philippe
name: Cappati, Alessandra
name: Charlot, Claude
name: Damas, Florian
name: Davignon, Olivier
name: Diab, Batoul
name: Falmagne, Guillaume
name: Fontana Santos Alves, Bruno Afonso
name: Ghosh, Shamik
name: Granier de Cassagnac, Raphael
name: Hakimi, Alexandre
name: Harikrishnan, Bharadwaj
name: Liu, Geliang
name: Motta, Jona
name: Nguyen, Matthew
name: Ochando, Christophe
name: Portales, Louis
name: Salerno, Roberto
name: Sarkar, Uttiya
name: Sauvan, Jean-Baptiste
name: Sirois, Yves
name: Tarabini, Alessandro
name: Vernazza, Elena
name: Zabi, Alexandre
name: Zghiche, Amina
name: Agram, Jean-Laurent
name: Andrea, Jeremy
name: Apparu, Dylan
name: Bloch, Daniel
name: Bourgatte, Guillaume
name: Brom, Jean-Marie
name: Chabert, Eric Christian
name: Collard, Caroline
name: Darej, Douja
name: Goerlach, Ulrich
name: Grimault, Clément
name: Le Bihan, Anne-Catherine
name: Van Hove, Pierre
name: Beauceron, Stephanie
name: Blancon, Benjamin
name: Boudoul, Gaelle
name: Carle, Aurélien
name: Chanon, Nicolas
name: Choi, Jieun
name: Contardo, Didier
name: Depasse, Pierre
name: Dozen, Candan
name: El Mamouni, Houmani
name: Fay, Jean
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name: Gouzevitch, Maxime
name: Grenier, Gérald
name: Ille, Bernard
name: Laktineh, Imad Baptiste
name: Lethuillier, Morgan
name: Mirabito, Laurent
name: Perries, Stephane
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name: Vander Donckt, Muriel
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name: Bagaturia, Iuri
name: Lomidze, Irakli
name: Tsamalaidze, Zviad
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name: Erdmann, Martin
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name: Mukherjee, Swagata
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name: Nowotny, Fabian
name: Pozdnyakov, Andrey
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name: Redjeb, Wahid
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name: Sharma, Archana
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name: Torres Da Silva De Araujo, Felipe
name: Vigilante, Lorenzo
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name: Zaleski, Shawn
name: Dziwok, Christian
name: Flügge, Günter
name: Haj Ahmad, Wael
name: Hlushchenko, Olena
name: Kress, Thomas
name: Nowack, Andreas
name: Pooth, Oliver
name: Stahl, Achim
name: Ziemons, Tim
name: Zotz, Alexander
name: Aarup Petersen, Henriette
name: Aldaya Martin, Maria
name: Asmuss, Paul
name: Baxter, Samuel
name: Bayatmakou, Maryam
name: Behnke, Olaf
name: Bermúdez Martínez, Armando
name: Bhattacharya, Soham
name: Bin Anuar, Afiq Aizuddin
name: Blekman, Freya
name: Borras, Kerstin
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name: Campbell, Alan
name: Cardini, Andrea
name: Cheng, Chun
name: Colombina, Federica
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name: Correia Silva, Gilson
name: De Silva, Malinda
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name: Eckerlin, Guenter
name: Eckstein, Doris
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name: Filatov, Oleg
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name: Nürnberg, Andreas
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name: Schleper, Peter
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name: Abbrescia, Marcello
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name: Aruta, Caterina
name: Colaleo, Anna
name: Creanza, Donato
name: De Filippis, Nicola
name: De Palma, Mauro
name: Di Florio, Adriano
name: Elmetenawee, Walaa
name: Errico, Filippo
name: Fiore, Luigi
name: Iaselli, Giuseppe
name: Maggi, Giorgio
name: Maggi, Marcello
name: Margjeka, Ilirjan
name: Mastrapasqua, Vincenzo
name: My, Salvatore
name: Nuzzo, Salvatore
name: Pellecchia, Antonello
name: Pompili, Alexis
name: Pugliese, Gabriella
name: Radogna, Raffaella
name: Ramos, Dayron
name: Ranieri, Antonio
name: Selvaggi, Giovanna
name: Silvestris, Lucia
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name: Marcellini, Stefano
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name: Navarria, Francesco
name: Perrotta, Andrea
name: Primavera, Federica
name: Rossi, Antonio
name: Rovelli, Tiziano
name: Siroli, Gian Piero
name: Costa, Salvatore
name: Di Mattia, Alessandro
name: Potenza, Renato
name: Tricomi, Alessia
name: Tuve, Cristina
name: Barbagli, Giuseppe
name: Bardelli, Giulio
name: Camaiani, Benedetta
name: Cassese, Antonio
name: Ceccarelli, Rudy
name: Ciulli, Vitaliano
name: Civinini, Carlo
name: D'Alessandro, Raffaello
name: Focardi, Ettore
name: Latino, Giuseppe
name: Lenzi, Piergiulio
name: Lizzo, Mattia
name: Meschini, Marco
name: Paoletti, Simone
name: Seidita, Roberto
name: Sguazzoni, Giacomo
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name: Pazzini, Jacopo
name: Ronchese, Paolo
name: Rossin, Roberto
name: Strong, Giles
name: Tosi, Mia
name: Yarar, Hevjin
name: Zanetti, Marco
name: Zotto, Pierluigi
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name: Belforte, Stefano
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name: Lim, Jaehoon
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name: Goh, Junghwan
name: Kim, Hyunsoo
name: Kim, Yongsun
name: Lee, Seungjun
name: Almond, John
name: Bhyun, Ji Hwan
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name: Kim, Jae Sung
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name: Kim, Seulgi
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name: Merlin, Jeremie Alexandre
name: Park, Inkyu
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name: Watson, Ian
name: Yang, Seungjin
name: Ha, Seungkyu
name: Yoo, Hwi Dong
name: Choi, Minuk
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name: Lee, Heewon
name: Lee, Yonghoon
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name: Yu, Intae
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name: Maghrbi, Yasser
name: Dreimanis, Karlis
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name: Veckalns, Viesturs
name: Ambrozas, Marijus
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name: Juodagalvis, Andrius
name: Rinkevicius, Aurelijus
name: Tamulaitis, Gintautas
name: Bin Norjoharuddeen, Nurfikri
name: Hoh, Siew Yan
name: Yusuff, Imran
name: Zolkapli, Zukhaimira
name: Benitez, Jose F.
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name: Encinas Acosta, Hedwin Aaron
name: Gallegos Maríñez, Luis Gabriel
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name: Murillo Quijada, Javier Alberto
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name: Valencia Palomo, Lizardo
name: Ayala, Gabriel
name: Castilla-Valdez, Heriberto
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name: Lopez-Fernandez, Ricardo
name: Mondragon Herrera, Cesar Atzin
name: Perez Navarro, Daniel Alejandro
name: Sánchez Hernández, Alberto
name: Oropeza Barrera, Cristina
name: Vazquez Valencia, Fabiola
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name: Bunkowski, Karol
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name: De La Cruz, Begona
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name: Folgueras, Santiago
name: Gonzalez Caballero, Isidro
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name: Soto Rodríguez, Alejandro
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name: Martinez Rivero, Celso
name: Martinez Ruiz del Arbol, Pablo
name: Matorras, Francisco
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name: Scodellaro, Luca
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name: Kailasapathy, Balashangar
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name: Liyanage, Kalpanie
name: Perera, Nimantha
name: Wickramage, Nadeesha
name: Abbaneo, Duccio
name: Alimena, Juliette
name: Auffray, Etiennette
name: Auzinger, Georg
name: Baechler, Joachim
name: Baillon, Paul
name: Barney, David
name: Bendavid, Joshua
name: Bianco, Michele
name: Bilin, Bugra
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name: Brondolin, Erica
name: Caillol, Cécile
name: Camporesi, Tiziano
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name: Chernyavskaya, Nadezda
name: Chhibra, Simranjit Singh
name: Choudhury, Somnath
name: Cipriani, Marco
name: Cristella, Leonardo
name: D'Enterria, David
name: Dabrowski, Anne
name: David Tinoco Mendes, Andre
name: De Roeck, Albert
name: Defranchis, Matteo Maria
name: Deile, Mario
name: Dobson, Marc
name: Dünser, Marc
name: Dupont, Niels
name: Fallavollita, Francesco
name: Florent, Alice
name: Forthomme, Laurent
name: Franzoni, Giovanni
name: Funk, Wolfgang
name: Ghosh, Saranya
name: Giani, Simone
name: Gigi, Dominique
name: Gill, Karl
name: Glege, Frank
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name: Meijers, Frans
name: Mersi, Stefano
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name: Mulders, Martijn
name: Orfanelli, Styliani
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name: Sharma, Archana
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name: Summers, Sioni
name: Tatar, Kaya
name: Tavolaro, Vittorio Raoul
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name: Tsirou, Andromachi
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name: Wozniak, Kinga Anna
name: Zeuner, Wolfram Dietrich
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name: Backhaus, Malte
name: Berger, Pirmin
name: Calandri, Alessandro
name: Datta, Kaustuv
name: De Cosa, Annapaola
name: Dissertori, Günther
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name: Nessi-Tedaldi, Francesca
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name: Pauss, Felicitas
name: Perovic, Vasilije
name: Pigazzini, Simone
name: Ratti, Maria Giulia
name: Reichmann, Michael
name: Reissel, Christina
name: Reitenspiess, Thomas
name: Ristic, Branislav
name: Riti, Federica
name: Ruini, Daniele
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name: Steggemann, Jan
name: Valsecchi, Davide
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name: Amsler, Claude
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name: De Wit, Adinda
name: Del Burgo, Riccardo
name: Heikkilä, Jaana Kristiina
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name: Jin, Weijie
name: Jofrehei, Arash
name: Kilminster, Benjamin
name: Leontsinis, Stefanos
name: Liechti, Sascha Pascal
name: Macchiolo, Anna
name: Meiring, Peter
name: Mikuni, Vinicius Massami
name: Molinatti, Umberto
name: Neutelings, Izaak
name: Reimers, Arne
name: Robmann, Peter
name: Sanchez Cruz, Sergio
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name: Kole, Gouranga
name: Li, You-ying
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name: Steen, Arnaud
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name: Yu, Pei-rong
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name: Srimanobhas, Norraphat
name: Wachirapusitanand, Vichayanun
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name: Boran, Fatma
name: Demiroglu, Zuhal Seyma
name: Dolek, Furkan
name: Dumanoglu, Isa
name: Eskut, Eda
name: Guler, Yalcin
name: Gurpinar Guler, Emine
name: Isik, Candan
name: Kara, Ozgun
name: Kayis Topaksu, Aysel
name: Kiminsu, Ugur
name: Onengut, Gulsen
name: Ozdemir, Kadri
name: Polatoz, Ayse
name: Simsek, Ali Eren
name: Tali, Bayram
name: Tok, Ufuk Guney
name: Turkcapar, Semra
name: Uslan, Ebru
name: Zorbakir, Ibrahim Soner
name: Karapinar, Guler
name: Ocalan, Kadir
name: Yalvac, Metin
name: Akgun, Bora
name: Atakisi, Ismail Okan
name: Gulmez, Erhan
name: Kaya, Mithat
name: Kaya, Ozlem
name: Tekten, Sevgi
name: Cakir, Altan
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name: Sen, Sercan
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name: Simsek, Cagdas
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name: Glowacki, Maciej
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name: Borg, Johan
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name: Davies, Gavin
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name: Fedi, Giacomo
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name: Langford, Jonathon
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name: Martelli, Arabella
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name: Radburn-Smith, Benjamin Charles
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name: Richards, Alexander
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name: Tapper, Alexander
name: Uchida, Kirika
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name: Vojinovic, Milos
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name: Reid, Ivan
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name: Saunders, Mark
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name: Sperka, David
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name: Suarez, Indara
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name: Mohammadi, Abdollah
name: Mondal, Susmita
name: Parida, Ganesh
name: Pinna, Deborah
name: Savin, Alexander
name: Shang, Victor
name: Sharma, Varun
name: Smith, Wesley H.
name: Teague, Dylan
name: Tsoi, Ho Fung
name: Vetens, Wren
name: Afanasiev, Serguei
name: Budkouski, Dzmitry
name: Golutvin, Igor
name: Gorbunov, Ilya
name: Karjavine, Vladimir
name: Korenkov, Vladimir
name: Lanev, Alexander
name: Malakhov, Alexander
name: Matveev, Viktor
name: Palichik, Vladimir
name: Perelygin, Victor
name: Savina, Maria
name: Shalaev, Vladislav
name: Shmatov, Sergey
name: Shulha, Siarhei
name: Smirnov, Vitaly
name: Teryaev, Oleg
name: Voytishin, Nikolay
name: Yuldashev, Bekhzod S.
name: Zarubin, Anatoli
name: Zhizhin, Ilia
name: Gavrilov, Genady
name: Golovtcov, Victor
name: Ivanov, Yury
name: Kim, Victor
name: Levchenko, Petr
name: Murzin, Victor
name: Sosnov, Dmitry
name: Sulimov, Valentin
name: Uvarov, Lev
name: Vorobyev, Alexey
name: Andreev, Yuri
name: Dermenev, Alexander
name: Gninenko, Sergei
name: Golubev, Nikolai
name: Karneyeu, Anton
name: Kirpichnikov, Dmitrii
name: Kirsanov, Mikhail
name: Krasnikov, Nikolai
name: Tlisova, Irina
name: Toropin, Alexander
name: Aushev, Tagir
name: Epshteyn, Vladimir
name: Gavrilov, Vladimir
name: Lychkovskaya, Natalia
name: Nikitenko, Alexander
name: Popov, Vladimir
name: Toms, Maria
name: Vlasov, Evgueni
name: Zhokin, Alexander
name: Chistov, Ruslan
name: Danilov, Mikhail
name: Polikarpov, Sergey
name: Selivanova, Daria
name: Andreev, Vladimir
name: Azarkin, Maksim
name: Dremin, Igor
name: Kirakosyan, Martin
name: Terkulov, Adel
name: Belyaev, Andrey
name: Boos, Edouard
name: Ershov, Alexander
name: Gribushin, Andrey
name: Kaminskiy, Alexandre
name: Khein, Lev
name: Kodolova, Olga
name: Korotkikh, Vladimir
name: Obraztsov, Stepan
name: Petrushanko, Sergey
name: Savrin, Viktor
name: Snigirev, Alexander
name: Vardanyan, Irina
name: Blinov, Vladimir
name: Dimova, Tatyana
name: Kardapoltsev, Leonid
name: Kozyrev, Aleksei
name: Ovtin, Ivan
name: Radchenko, Olesia
name: Skovpen, Yuri
name: Kachanov, Vassili
name: Konstantinov, Dmitri
name: Slabospitskii, Sergei
name: Uzunian, Andrey
name: Babaev, Anton
name: Borshch, Vladislav
name: Tcherniaev, Evgueni
name: Chekhovsky, Vladimir
name: Litomin, Aliaksandr
name: Makarenko, Vladimir
name: CMS Collaboration
Publisher: name: Deutsches Elektronen-Synchrotron, DESY, Hamburg
Year: 2024

description: Correlations between azimuthal anisotropy and mean transverse momentum of charged particles in proton-proton (pp), proton-lead (pPb), and peripheral lead-lead (PbPb) collisions are presented as a function of charged particle multiplicity. The pp, pPb and PbPb collision data were collected using the CMS detector at the LHC with a center-of-mass energy per nucleon pair of 13, 8.16 and 5.02 TeV, respectively. The two- and four-particle cumulants for the second- and third-order Fourier anisotropy harmonics are correlated with the mean transverse momentum of charged particles on an event-by-event basis. In pp and pPb systems, the observed correlation coefficients based on two-particle cumulants are found to change from negative to positive values as the charged particle multiplicity decreases. The sign changes disappear when the correlated particles are required to be further apart in pseudorapidity. Additionally, no sign changes in correlation coefficients are observed when employing four-particle cumulants. Models incorporating initial-state gluon saturation and final-state hydrodynamic evolutions are compared to pPb data and the predicted sign changes are not observed.