Planar property and long-range azimuthal correlation in e+e

[1]
J. Adams et al. (STAR Collaboration), Phys. Rev. Lett. 95, 152301 (2005), arXiv: nucl-ex/0501016
[2]
B. Alver et al. (PHOBOS Collaboration), Phys. Rev. C 81, 024904 (2010), arXiv: 0812.1172
[3]
B. Abelev et al. (STAR Collaboration), Phys. Rev. C 80, 064912 (2009), arXiv: 0909.0191
[4]
B. Alver et al. (PHOBOS Collaboration), Phys. Rev. Lett. 104, 062301 (2010), arXiv: 0903.2811
[5]
S. Chatrchyan et al. (CMS Collaboration), JHEP 07, 076 (2011), arXiv: 1105.2438
[6]
S. Chatrchyan et al. (CMS Collaboration), Eur. Phys. J. C 72, 2012 (2012), arXiv: 1201.3158
[7]
K. Aamodt et al. (ALICE Collaboration), Phys. Rev. Lett. 105, 252302 (2010), arXiv: 1011.3914
[8]
G. Aad et al. (ATLAS Collaboration), Phys. Rev. C 86, 014907 (2012), arXiv: 1203.3087
[9]
S. Chatrchyan et al. (CMS Collaboration), JHEP 02, 088 (2014), arXiv: 1312.1845
[10]
V. Khachatryan et al. (CMS Collaboration), JHEP 09, 091 (2010), arXiv: 1009.4122
[11]
G. Aad et al. (ATLAS Collaboration), Phys. Rev. Lett. 116(17), 172301 (2016), arXiv: 1509.04776
[12]
V. Khachatryan et al. (CMS Collaboration), Phys. Rev. Lett. 116, 172302 (2016), arXiv: 1510.03068
[13]
V. Khachatryan et al. (CMS Collaboration), Phys. Lett. B 765, 193 (2017), arXiv: 1606.06198
[14]
S. Chatrchyan et al. (CMS Collaboration), Phys. Lett. B 718, 795 (2013), arXiv: 1210.5482
[15]
B. Abelev et al. (ALICE Collaboration), Phys. Lett. B 719, 29 (2013), arXiv: 1212.2001
[16]
G. Aad et al. (ATLAS Collaboration), Phys. Rev. Lett. 110, 182302 (2013), arXiv: 1212.5198
[17]
R. Aaij et al. (LHCb Collaboration), Phys. Lett. B 762, 473 (2016), arXiv: 1512.00439
[18]
B. B. Abelev et al. (ALICE Collaboration), Phys. Lett. B 726, 164 (2013), arXiv: 1307.3237
[19]
V. Khachatryan et al. (CMS Collaboration), Phys. Lett. B 742, 200 (2015), arXiv: 1409.3392
[20]
V. Khachatryan et al. (CMS Collaboration), Phys. Rev. Lett. 115, 012301 (2015), arXiv: 1502.05382
[21]
M. Aaboud et al. (ATLAS Collaboration), Eur. Phys. J. C 77(6), 428 (2017), arXiv: 1705.04176
[22]
M. Aaboud et al. (ATLAS Collaboration), Phys. Rev. C 97(2), 024904 (2018), arXiv: 1708.03559
[23]
C. Aidala et al. (PHENIX Collaboration), Nature Phys. 15(3), 214 (2019), arXiv: 1805.02973
[24]
L. Adamczyk et al. (STAR Collaboration), Phys. Lett. B 747, 265 (2015), arXiv: 1502.07652
[25]
A. Adare et al. (PHENIX Collaboration), Phys. Rev. Lett. 115, 142301 (2015), arXiv: 1507.06273
[26]
C. Aidala et al. (PHENIX Collaboration), Phys. Rev. Lett. 120(6), 062302 (2018), arXiv: 1707.06108
[27]
A. Badea, A. Baty, P. Chang et al., Phys. Rev. Lett. 123(21), 212002 (2019), arXiv: 1906.00489
[28]
Y. C. Chen et al. (Belle Collaboration), Phys. Rev. Lett. 128(14), 142005 (2022), arXiv: 2201.01694
[29]
I. Abt et al. (ZEUS Collaboration), JHEP 04, 070 (2020), arXiv: 1912.07431
[30]
I. Abt et al. (ZEUS Collaboration), JHEP 12, 102 (2021), arXiv: 2106.12377
[31]
A. Tumasyan et al. (CMS Collaboration), Phys. Lett. B 844, 137905 (2023), arXiv: 2204.13486
[32]
G. Aad et al. (ATLAS Collaboration), Phys. Rev. C 104, 014903 (2021), arXiv: 2101.10771
[33]
A. Baty, P. Gardner, and W. Li, Phys. Rev. C 107(6), 064908 (2023), arXiv: 2104.11735
[34]
A. Hayrapetyan et al. (CMS Collaboration),Phys. Rev. Lett. 133, 142301 (2024), arXiv: 2312.17103
[35]
Y. C. Chen et al. (Electron-Positron Alliance Collaboration), Phys. Lett. B 856, 138957 (2024), arXiv: 2312.05084
[36]
R. Vertesi and A. Ortiz,Phys. Rev. D 112, 036009 (2025), arXiv: 2408.06340
[37]
W. Zhao, Z.W. Lin, and X. N. Wang, (2024), arXiv: 2401.13137
[38]
L. Zheng, L. Liu, Z. W. Lin et al., Eur. Phys. J. C 84(10), 1029 (2024), arXiv: 2404.18829
[39]
J. L. Nagle, A. Adare, S. Beckman et al., Phys. Rev. Lett. 113(11), 112301 (2014), arXiv: 1312.4565
[40]
B. Schenke and R. Venugopalan, Phys. Rev. Lett. 113, 102301 (2014), arXiv: 1405.3605
[41]
C. Shen, J. F. Paquet, G. S. Denicol et al., Phys. Rev. C 95(1), 014906 (2017), arXiv: 1609.02590
[42]
R. D. Weller and P. Romatschke, Phys. Lett. B 774, 351 (2017), arXiv: 1701.07145
[43]
H. Mäntysaari, B. Schenke, C. Shen et al., Phys. Lett. B 772, 681 (2017), arXiv: 1705.03177
[44]
W. Zhao, Y. Zhou, H. Xu et al., Phys. Lett. B 780, 495 (2018), arXiv: 1801.00271
[45]
C. Bierlich and C. O. Rasmussen, JHEP 10, 026 (2019), arXiv: 1907.12871
[46]
R. Katz, C. A. G. Prado, J. Noronha-Hostler et al., Phys. Rev. C 102(4), 041901 (2020), arXiv: 1907.03308
[47]
W. Zhao, C. Shen, and B. Schenke, Phys. Rev. Lett. 129(25), 252302 (2022), arXiv: 2203.06094
[48]
W. Zhao, S. Ryu, C. Shen et al., Phys. Rev. C 107(1), 014904 (2023), arXiv: 2211.16376
[49]
A. Bzdak and G. L. Ma, Phys. Rev. Lett. 113(25), 252301 (2014), arXiv: 1406.2804
[50]
L. He, T. Edmonds, Z. W. Lin et al., Phys. Lett. B 753, 506 (2016), arXiv: 1502.05572
[51]
Z. W. Lin, L. He, T. Edmonds et al., Nucl. Phys. A 956, 316 (2016), arXiv: 1512.06465
[52]
J. L. Nagle, R. Belmont, K. Hill et al., Phys. Rev. C 97(2), 024909 (2018), arXiv: 1707.02307
[53]
A. Kurkela, U. A. Wiedemann, and B. Wu, Eur. Phys. J. C 79(9), 759 (2019), arXiv: 1805.04081
[54]
A. Kurkela, U. A. Wiedemann, and B. Wu, Eur. Phys. J. C 79(11), 965 (2019), arXiv: 1905.05139
[55]
X. L. Zhao, Z. W. Lin, L. Zheng et al., Phys. Lett. B 839, 137799 (2023), arXiv: 2112.01232
[56]
B. Schenke, C. Shen, and P. Tribedy, Phys. Lett. B 803, 135322 (2020), arXiv: 1908.06212
[57]
G. Giacalone, B. Schenke, and C. Shen, Phys. Rev. Lett. 125(19), 192301 (2020), arXiv: 2006.15721
[58]
B. Schenke, Rept. Prog. Phys. 84(8), 082301 (2021), arXiv: 2102.11189
[59]
J. F. Grosse-Oetringhaus and U. A. Wiedemann, (2024), arXiv: 2407.07484
[60]
S. Y. Li, Near-sided long-pseudorapidity-range ϕ correlation (ridge) of planar events via hard radiations in \begin{document}$e^+e^-$\end{document} annihilation, moriond qcd2024 - proceedings, (2024). https://moriond.in2p3.fr/QCD/2024/SaturdayAfternoon/Li.pdf
[61]
J. R. Ellis, M. K. Gaillard, G. G. Ross et al., Nucl. Phys. B 111, 253 (1976) [Erratum: Nucl. Phys. B 130, 516 (1977)]
[62]
S. L. Wu, Discovery of the Gluon, (World Scientific Publising Company, 2015), p. 199
[63]
T. Sjöstrand, S. Ask, J. R. Christiansen et al., Computer Physics Communications 191, 159 (2015), arXiv: 1410.3012
[64]
G. Aad et al. (ATLAS Collaboration), Eur. Phys. J. C 72, 2211 (2012), arXiv: 1206.2135
[65]
M. Czakon, A. Mitov, R. Poncelet, Phys. Rev. Lett. 127, 152001 (2021) [Erratum: Phys. Rev. Lett. 129, 119901 (2022)], arXiv: 2106.05331
[66]
X. Chen, T. Gehrmann, E. W. N. Glover et al., JHEP 10, 099 (2022), arXiv: 2203.13531
[67]
T. Gehrmann, E. W. N. Glover, and M. Marcoli, JHEP 03, 114 (2024), arXiv: 2310.19757
[68]
A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover et al., Phys. Rev. Lett. 99, 132002 (2007), arXiv: 0707.1285
[69]
A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover et al., JHEP 12, 094 (2007), arXiv: 0711.4711
[70]
A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover et al., Phys. Rev. Lett. 100, 172001 (2008), arXiv: 0802.0813
[71]
S. Weinzierl, Phys. Rev. Lett. 101, 162001 (2008)
[72]
A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover et al., JHEP 05, 106 (2009), arXiv: 0903.4658
[73]
S. Weinzierl, JHEP 06, 041 (2009), arXiv: 0904.1077
[74]
A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover et al., Comput. Phys. Commun. 185, 3331 (2014), arXiv: 1402.4140
[75]
V. D. Duca, C. Duhr, A. Kardos et al., Phys. Rev. Lett. 117, 152004 (2016), arXiv: 1603.08927
[76]
T. Gehrmann, E. W. N. Glover, A. Huss et al., Phys. Lett. B 775, 185 (2017), arXiv: 1709.01097
[77]
A. Huss et al. (NNLOJET Collaboration), (2025), arXiv: 2503.22804
[78]
A. Gehrmann-De Ridder, T. Gehrmann, and E. W. N. Glover, JHEP 09, 056 (2005), arXiv: hep-ph/0505111
[79]
A. Gehrmann-De Ridder, T. Gehrmann, and E. W. N. Glover, Phys. Lett. B 612, 36 (2005), arXiv: hep-ph/0501291
[80]
A. Daleo, T. Gehrmann, and D. Maitre, JHEP 04, 016 (2007), arXiv: hep-ph/0612257
[81]
J. Currie, E. W. N. Glover, and S. Wells, JHEP 04, 066 (2013), arXiv: 1301.4693
[82]
G. P. Lepage, J. Comput. Phys. 27, 192 (1978)
[83]
E. Fox, N. Glover, and M. Marcoli, JHEP 12, 225 (2025), arXiv: 2410.12904
[84]
J. D. Bjorken and S. J. Brodsky, Phys. Rev. D 1, 1416 (1970)
[85]
B. Andersson, G. Gustafson, G. Ingelman et al., Phys. Rept. 97, 31 (1983), arXiv: 1410.3012
[86]
S. Fan, Nat. Sci. J. Hainan Teach. Coll. 2(2), 91 (1989)
[87]
G. H. Golub and C. F. Van Loan, Matrix Computations, 4th Edition, (Baltimore: Johns Hopkins University Press, 2013)
[88]
C. L. Basham, L. S. Brown, S. D. Ellis et al., Phys. Rev. Lett. 41, 1585 (1978)
[89]
C. L. Basham, L. S. Brown, S. D. Ellis et al., Phys. Rev. D 19, 2018 (1979)
[90]
F. Buccioni, J. N. Lang, J. M. Lindert et al., Eur. Phys. J. C 79(10), 866 (2019), arXiv: 1907.13071
[91]
W. J. Stirling, J. Phys. G: Nucl. Part. Phys. 17(10), 1567 (1991)
[92]
A. Heister et al., Eur. Phys. J. C 35, 457 (2004)
[93]
S. Weinzierl, Eur. Phys. J. C 71, 1565 (2011) [Erratum: Eur. Phys. J. C 71, 1717 (2011)], arXiv: 1011.6247
[94]
A. Verbytskyi, A. Banfi, A. Kardos et al., JHEP 08, 129 (2019), arXiv: 1902.08158
[95]
E. Bothmann et al. (Sherpa Collaboration), SciPost Phys. 7(3), 034 (2019), arXiv: 1905.09127
[96]
C. Bierlich, S. Chakraborty, N. Desai et al., SciPost Phys. Codeb. 2022, 8 (2022), arXiv: 2203.11601