Article open access publication

Measurement of flow harmonics with multi-particle cumulants in Pb+Pb collisions at sNN=2.76 TeV with the ATLAS detector

European Physical Journal C, Springer Nature, ISSN 1434-6044

Volume 74, 11, 2014

DOI:10.1140/epjc/s10052-014-3157-z, Dimensions: pub.1002263305, PMC: PMC4370854, PMID: 25814877,

Authors

Aad, G * (2)
Aben, R (7)
Abi, B A (8)
Abreu, H. (12)
Abreu, R. (13)
Acharya, B. S. (15) (16) (17)
Adamczyk, L. (18) (19)
Adye, T. (23)
Aguilar-Saavedra, J. A. (25) (26) (27) (28) (29) (30)
Aielli, G. (34) (35)
Akimoto, G (37)
Alberghi, G. L. (39) (40)
Albert, J (41)
Aleksa, M. (13)
Alexa, C. (44) (45) (46) (47)
Alhroob, M (15) (16) (17)
Alimonti, G. (50) (51)
Alio, L (2)
Alison, J. (52)
Almond, J. (56)
Aloisio, A. (57) (58)
Alonso, A. (59)
Alonso, F (43)
Alviggi, M. G. (57) (58)
Amako, K. (62)
Amaral Coutinho, Y (63) (64) (65) (66)
Amidei, D. (68)
Amor Dos Santos, S P (25) (26) (27) (28) (29) (30)
Amorim, A. (25) (26) (27) (28) (29) (30)
Amram, N. (11)
Andari, N. (13)
Andeen, T. (61)
Anders, G. (13)
Andreazza, A. (50) (51)
Andrei, V. (71)
Anger, P. (73)
Anjos, N. (25) (26) (27) (28) (29) (30)
Annovi, A. (75)
Antos, J. (77) (78)
Anulli, F. (79) (80)
Aoki, M. (62)
Apolle, R. (81)
Arai, Y. (62)
Araque, J P (25) (26) (27) (28) (29) (30)
Arik, M. (86) (87) (88)
Arnaez, O. (13)
Arnal, V. (89)
Arnold, H. (69)
Arslan, O. (91)
Artoni, G. (67)
Asai, S. (37)
Asbah, N. (85)
Åsman, B. (14)
Astalos, R. (77) (78)
Aurousseau, M. (97) (98) (99)
Avolio, G. (13)
Azuma, Y (37)
Baas, A E (71)
Bacci, C. (100) (101)
Bachacou, H. (102)
Bachas, K. (103)
Backes, M. (13)
Badescu, E. (44) (45) (46) (47)
Bagiacchi, P. (79) (80)
Bagnaia, P (79) (80)
Bai, Y. (104) (105) (106) (107) (108)
Bain, T. (61)
Balek, P. (109)
Balli, F (102)
Banas, E. (110)
Bansal, V. (41)
Barak, L. (113)
Barberis, D (115) (116)
Barisonzi, M (112)
Barlow, N. (90)
Baroncelli, A. (100) (101)
Barone, G. (48)
Bartos, P. (77) (78)
Bartsch, V. (121)
Basye, A T (94)
Bates, R. L. (122)
Bauer, F. (102)
Bawa, H S (82)
Beau, T. (124)
Beccherle, R (126) (127)
Becker, K. (112)
Becker, S. (22)
Becot, C. (5)
Beddall, A. J. (86) (87) (88)
Beddall, A. (86) (87) (88)
Bee, C. P. (129)
Begel, M. (20)
Behr, K. (81)
Bella, G. (11)
Bellagamba, L. (39) (40)
Bellomo, M. (132)
Benary, O. (11)
Benchekroun, D (133) (134) (135) (136) (137)
Bendtz, K. (14)
Benitez Garcia, J A (138) (139)
Benslama, K. (140)
Berge, D (7)
Berger, N. (119)
Beringer, J. (118)
Bernat, P. (142)
Bernius, C. (143)
Berry, T. (144)
Berta, P. (109)
Bertolucci, F. (126) (127)
Besana, M I (50) (51)
Besjes, G J (145)
Bessner, M (85)
Besson, N. (102)
Bethke, S. (117)
Bhimji, W. (146)
Bianco, M (13)
Biebel, O. (22)
Biesiada, J. (118)
Biglietti, M (100) (101)
Bindi, M. (148)
Binet, S. (5)
Bingul, A. (86) (87) (88)
Bini, C. (79) (80)
Black, C W (149)
Blazek, T. (77) (78)
Bloch, I. (85)
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Boek, T. T. (112)
Bogouch, A. (152)
Bohm, C. (14)
Bohm, J. (153)
Boisvert, V. (144)
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Boldea, V. (44) (45) (46) (47)
Bomben, M. (124)
Bona, M. (60)
Boonekamp, M (102)
Borisov, A. (155)
Borri, M. (56)
Bortolotto, V. (100) (101)
Bos, K (7)
Boscherini, D. (39) (40)
Bosman, M. (156)
Boudreau, J. (147)
Bouffard, J. (157)
Boutouil, S (133) (134) (135) (136) (137)
Boveia, A (52)
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Boyko, I R (33)
Brandt, A. (159)
Brandt, G. (118)
Brandt, O. (71)
Bratzler, U. (160)
Brau, B. (132)
Brau, J. E. (161)
Braun, H M (112)
Brazzale, S F (15) (16) (17)
Brelier, B (10)
Brenner, R. (163)
Bressler, S. (113)
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Britton, D. (122)
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Bronner, J. (117)
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Brooks, W. K. (164) (165)
Brosamer, J. (118)
Brost, E. (161)
Brown, J. (42)
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Brunet, S. (166)
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Bruni, G. (39) (40)
Bruschi, M. (39) (40)
Buanes, T. (167)
Buat, Q (168)
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Buda, S I (44) (45) (46) (47)
Bugge, L. (169)
Bugge, M. K. (169)
Bulekov, O (76)
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Burke, S. (23)
Busato, E (158)
Büscher, V. (151)
Bussey, P. (122)
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Butt, A. I. (172)
Butti, P (7)
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Caforio, D. (39) (40)
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Calandri, A (102)
Calkins, R (170)
Caloba, L P (63) (64) (65) (66)
Calvet, D. (158)
Calvet, S (158)
Cameron, D. (169)
Canale, V. (57) (58)
Canepa, A. (138) (139)
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Cao, T. (178)
Caprini, I. (44) (45) (46) (47)
Caprini, M. (44) (45) (46) (47)
Capua, M. (75) (179)
Caputo, R. (151)
Cardarelli, R. (34) (35)
Carli, T (13)
Carlino, G. (57) (58)
Carminati, L (50) (51)
Caron, S (145)
Carquin, E. (164) (165)
Carrillo-Montoya, G D (97) (98) (99)
Carvalho, J. (25) (26) (27) (28) (29) (30)
Casadei, D. (142)
Casado, M P (156)
Casolino, M (156)
Castaneda-Miranda, E (97) (98) (99)
Castro, N. F. (25) (26) (27) (28) (29) (30)
Catmore, J R (169)
Cattai, A (13)
Cattani, G. (34) (35)
Cavalli, D. (50) (51)
Cavasinni, V. (126) (127)
Ceradini, F. (100) (101)
Cerny, K. (109)
Cerqueira, A S (63) (64) (65) (66)
Cerri, A. (121)
Cerutti, F. (118)
Cerv, M (13)
Cetin, S. A. (86) (87) (88)
Chafaq, A (133) (134) (135) (136) (137)
Chang, P. (94)
Chapleau, B. (130)
Cheatham, S. (130)
Chekulaev, S V (138) (139)
Chen, C. (180)
Chen, H. (20)
Chen, K. (129)
Chen, L. (104) (105) (106) (107) (108)
Chen, S. (104) (105) (106) (107) (108)
Chen, X. (97) (98) (99)
Chen, Y. (181)
Chen, Y. (61)
Cheng, Y. (52)
Cherkaoui El Moursli, R. (133) (134) (135) (136) (137)
Cheu, E. (182)
Chiefari, G. (57) (58)
Chiodini, G. (183) (184)
Chitan, A. (44) (45) (46) (47)
Chudoba, J. (153)
Chytka, L. (185)
Ciapetti, G. (79) (80)
Ciftci, A. K. (174) (175) (176) (177)
Ciftci, R (174) (175) (176) (177)
Cinca, D. (122)
Cindro, V. (186)
Ciocio, A. (118)
Citron, Z H (113)
Citterio, M. (50) (51)
Ciubancan, M (44) (45) (46) (47)
Clark, A. (48)
Clark, P. J. (146)
Cleland, W. (147)
Cobal, M. (15) (16) (17)
Coccaro, A. (150)
Cochran, J. (180)
Coffey, L. (67)
Cole, B. (61)
Cole, S. (170)
Collot, J. (42)
Colon, G. (132)
Conde Muiño, P. (25) (26) (27) (28) (29) (30)
Conidi, M C (156)
Connell, S H (97) (98) (99)
Consonni, S M (50) (51)
Constantinescu, S. (44) (45) (46) (47)
Conta, C. (187) (188)
Conti, G. (120)
Conventi, F. (57) (58)
Cooke, M. (118)
Copic, K. (118)
Corradi, M. (39) (40)
Cortiana, G. (117)
Costa, G. (50) (51)
Costa, M J (173)
Côté, D. (159)
Cottin, G. (90)
Cowan, G. (144)
Cox, B. E. (56)
Cranmer, K. (190)
Cree, G. (131)
Crescioli, F (124)
Croft, V (145)
Crosetti, G. (75) (179)
Cuciuc, C M (44) (45) (46) (47)
Cuthbert, C. (149)
Czirr, H. (95)
Da Cunha Sargedas De Sousa, M J (25) (26) (27) (28) (29) (30)
Da Via, C. (56)
Dabrowski, W. (18) (19)
Dafinca, A (81)
Dai, T. (68)
Dale, O. (167)
Dam, M. (59)
Dao, V. (69)
Darbo, G. (115) (116)
Darmora, S (159)
Davey, W (91)
David, C. (41)
Davidek, T (109)
Davies, E. (81)
Davies, M. (11)
Davignon, O (124)
Davison, P. (142)
Dawe, E. (168)
Dawson, I. (70)
De, K. (159)
De Asmundis, R (57) (58)
De Castro, S (39) (40)
De Cecco, S. (124)
De Groot, N (145)
De Pedis, D. (79) (80)
De Salvo, A. (79) (80)
De Sanctis, U. (15) (16) (17)
De Santo, A. (121)
Debbe, R. (20)
Del Prete, T. (126) (127)
Deliot, F. (102)
Dell’Orso, M. (126) (127)
Della Pietra, M. (57) (58)
Deluca, C (7)
Demers, S. (21)
Demilly, A (124)
Derkaoui, J E (133) (134) (135) (136) (137)
Derue, F (124)
Dervan, P. (55)
Desch, K. (91)
Deterre, C (85)
Di Ciaccio, A. (34) (35)
Di Domenico, A. (79) (80)
Di Donato, C (57) (58)
Di Micco, B. (100) (101)
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Dias, F. A. (146)
Diaz, M. A. (164) (165)
Diglio, S (2)
Dionisi, C. (79) (80)
Dita, P. (44) (45) (46) (47)
Dita, S. (44) (45) (46) (47)
Dittus, F. (13)
Djama, F. (2)
Djobava, T D (191)
Do Vale, M A B (63) (64) (65) (66)
Do Valle Wemans, A (25) (26) (27) (28) (29) (30)
Doan, T K O (119)
Dobos, D. (13)
Doherty, T. (122)
Dohmae, T (37)
Dolejsi, J. (109)
Dolezal, Z. (109)
Donadelli, M. (63) (64) (65) (66)
Donati, S. (126) (127)
Dondero, P. (187) (188)
Donini, J (158)
Dopke, J. (23)
Doria, A. (57) (58)
Doyle, A. T. (122)
Dris, M. (49)
Dube, S. (118)
Dubreuil, E (158)
Duchovni, E. (113)
Ducu, O A (44) (45) (46) (47)
Duda, D. (112)
Dudziak, F. (180)
Duguid, L. (144)
Duran Yildiz, H (174) (175) (176) (177)
Düren, M. (192)
Dwuznik, M. (18) (19)
Dyndal, M. (18) (19)
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Edson, W. (157)
Eifert, T. (82)
Eigen, G. (167)
Ekelof, T (163)
El Kacimi, M (133) (134) (135) (136) (137)
Ellert, M. (163)
Elles, S. (119)
Ellis, N. (13)
Elsing, M. (13)
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Endner, O C (151)
Endo, M. (193)
Ernis, G (112)
Ernst, J. (157)
Ernst, M. (20)
Ernwein, J (102)
Errede, D. (94)
Errede, S. (94)
Ertel, E. (151)
Esch, H. (171)
Escobar, C. (147)
Etzion, E. (11)
Evans, H. (166)
Ezhilov, A. (194)
Fabbri, L. (39) (40)
Facini, G. (52)
Falciano, S. (79) (80)
Falla, R. J. (142)
Faltova, J. (109)
Fang, Y. (104) (105) (106) (107) (108)
Fanti, M. (50) (51)
Farbin, A (159)
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Farooque, T. (156)
Farrell, S. (118)
Fassi, F. (133) (134) (135) (136) (137)
Favareto, A. (115) (116)
Federic, P. (77) (78)
Fedin, O L (194)
Fedorko, W. (195)
Feigl, S. (13)
Feng, C. (104) (105) (106) (107) (108)
Feng, H. (68)
Fenyuk, A B (155)
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Ferrari, R. (187) (188)
Ferrer, A. (173)
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Fiedler, F. (151)
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Fiorini, L. (173)
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Flick, T. (112)
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Franchini, M (39) (40)
Franklin, M (120)
Franz, S. (196)
Fraternali, M. (187) (188)
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Fuster, J. (173)
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Gabrielli, A. (79) (80)
Gagliardi, G (115) (116)
Gagnon, P. (166)
Galea, C (145)
Galhardo, B (25) (26) (27) (28) (29) (30)
Gallo, V (31)
Gallus, P. (96)
Gan, K. K. (197)
Gao, J. (104) (105) (106) (107) (108)
Gao, Y. S. (82)
García, C. (173)
Garonne, V (13)
Gatti, C. (75)
Gaudio, G. (187) (188)
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Gecse, Z. (195)
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Gerbaudo, D. (189)
Ghazlane, H. (133) (134) (135) (136) (137)
Ghodbane, N (158)
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Giagu, S. (79) (80)
Giannetti, P. (126) (127)
Gilles, G (158)
Giordani, M. P. (15) (16) (17)
Giordano, R. (57) (58)
Giorgi, F. M. (39) (40)
Giraud, P F (102)
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Giulini, M (71)
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Glasman, C (89)
Glatzer, J (13)
Glazov, A. (85)
Godfrey, J. (168)
Golubkov, D. (155)
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Gonçalo, R. (25) (26) (27) (28) (29) (30)
Gorelov, I. (199)
Gorini, B (13)
Gorini, E. (183) (184)
Gorišek, A. (186)
Gornicki, E (110)
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Goujdami, D (133) (134) (135) (136) (137)
Goy, C. (119)
Graber, L. (148)
Grabowska-Bold, I. (18) (19)
Grafström, P. (39) (40)
Gramstad, E. (169)
Grassi, V. (129)
Gratchev, V. (194)
Graziani, E. (100) (101)
Gregersen, K (142)
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Hajduk, Z. (110)
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Hughes, G. (54)
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Huth, J. (120)
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Iizawa, T. (205)
Ikeno, M. (62)
Iliadis, D. (103)
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Inamaru, Y (181)
Ince, T. (117)
Iodice, M. (100) (101)
Ippolito, V. (120)
Isaksson, C. (163)
Ishino, M. (206)
Istin, S. (86) (87) (88)
Iuppa, R. (34) (35)
Iwanski, W. (110)
Izen, J M (207)
Izzo, V. (57) (58)
Jackson, B. (162)
Jackson, P. (208)
Jain, V. (157)
Jakobs, K. (69)
Jakoubek, T. (153)
Jana, D. K. (143)
Jansen, E. (142)
Jansen, H. (13)
Janus, M. (128)
Javadov, N (33)
Jeanty, L. (118)
Jeng, G.-Y. (149)
Jennens, D. (114)
Jenni, P. (69)
Jentzsch, J. (171)
Jeske, C. (128)
Ji, H. (111)
Jia, J. (129)
Jiang, Y. (104) (105) (106) (107) (108)
Jin, S. (104) (105) (106) (107) (108)
Jinaru, A. (44) (45) (46) (47)
Johns, K. A. (182)
Jon-And, K (14)
Jones, G. (128)
Jorge, P M (25) (26) (27) (28) (29) (30)
Ju, X Y (111)
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Zutshi, V. (170)

* Corresponding author

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  1. (1) Institut National de Physique Nucléaire et de Physique des Particules, grid.433124.3
  2. (2) Center for Particle Physics of Marseilles, grid.470046.1
  3. (3) University of Oklahoma, grid.266900.b
  4. (4) Institute of Physics, Academia Sinica, grid.482252.b
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  183. (183) INFN Sezione di Lecce, grid.470680.d
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  187. (187) INFN Sezione di Pavia, grid.470213.3
  188. (188) University of Pavia, grid.8982.b
  189. (189) University of California, Irvine, grid.266093.8
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  191. (191) Tbilisi State University, grid.26193.3f
  192. (192) University of Giessen, grid.8664.c
  193. (193) Osaka University, grid.136593.b
  194. (194) Petersburg Nuclear Physics Institute, grid.430219.d
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  196. (196) University of Innsbruck, grid.5771.4
  197. (197) The Ohio State University, grid.261331.4
  198. (198) University of Iowa, grid.214572.7
  199. (199) University of New Mexico, grid.266832.b
  200. (200) Alikhanyan National Laboratory, grid.48507.3e
  201. (201) University of Tsukuba, grid.20515.33
  202. (202) Nagoya University, grid.27476.30
  203. (203) Shinshu University, grid.263518.b
  204. (204) Tokyo Institute of Technology, grid.32197.3e
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  206. (206) Kyoto University, grid.258799.8
  207. (207) The University of Texas at Dallas, grid.267323.1
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  211. (211) Universidad Antonio Nariño, grid.440783.c
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  215. (215) University of Buenos Aires, grid.7345.5
  216. (216) University of Würzburg, grid.8379.5
  217. (217) Nagasaki Institute of Applied Science, grid.444367.6
  218. (218) Kyoto University of Education, grid.411219.e
  219. (219) Ritsumeikan University, grid.262576.2
  220. (220) Massachusetts Institute of Technology, grid.116068.8
  221. (221) Belarusian State University, grid.17678.3f

Description

ATLAS measurements of the azimuthal anisotropy in lead-lead collisions at [Formula: see text] TeV are shown using a dataset of approximately 7 [Formula: see text]b[Formula: see text] collected at the LHC in 2010. The measurements are performed for charged particles with transverse momenta [Formula: see text] GeV and in the pseudorapidity range [Formula: see text]. The anisotropy is characterized by the Fourier coefficients, [Formula: see text], of the charged-particle azimuthal angle distribution for [Formula: see text]-4. The Fourier coefficients are evaluated using multi-particle cumulants calculated with the generating function method. Results on the transverse momentum, pseudorapidity and centrality dependence of the [Formula: see text] coefficients are presented. The elliptic flow, [Formula: see text], is obtained from the two-, four-, six- and eight-particle cumulants while higher-order coefficients, [Formula: see text] and [Formula: see text], are determined with two- and four-particle cumulants. Flow harmonics [Formula: see text] measured with four-particle cumulants are significantly reduced compared to the measurement involving two-particle cumulants. A comparison to [Formula: see text] measurements obtained using different analysis methods and previously reported by the LHC experiments is also shown. Results of measurements of flow fluctuations evaluated with multi-particle cumulants are shown as a function of transverse momentum and the collision centrality. Models of the initial spatial geometry and its fluctuations fail to describe the flow fluctuations measurements.

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