Abstract
We estimate the amount of collective “elliptic flow” expected at mid-rapidity in proton–proton (p–p) collisions at the CERN Large Hadron Collider (LHC), assuming that any possible azimuthal anisotropy of the produced hadrons with respect to the plane of the reaction follows the same overlap-eccentricity and particle-density scalings as found in high-energy heavy-ion collisions. Using a Glauber eikonal model, we compute the p–p eccentricities, transverse areas and particle multiplicities for various phenomenological parameterisations of the proton spatial density. For realistic proton transverse profiles, we find integrated elliptic-flow v 2 parameters below 3% in p–p collisions at \(\sqrt{s}=14\) TeV.
Similar content being viewed by others
References
I. Arsene et al. (BRAHMS Collaboration), Nucl. Phys. A 757, 1 (2005)
B.B. Back et al. (PHOBOS Collaboration), Nucl. Phys. A 757, 28 (2005)
J. Adams et al. (STAR Collaboration), Nucl. Phys. A 757, 102 (2005)
K. Adcox et al. (PHENIX Collaboration), Nucl. Phys. A 757, 184 (2005)
S.A. Voloshin, A.M. Poskanzer, R. Snellings, arXiv:0809.2949 [nucl-ex]
L. Frankfurt, M. Strikman, C. Weiss, Ann. Rev. Nucl. Part. Sci. 55, 403 (2005)
F. Gelis, T. Lappi, R. Venugopalan, Int. J. Mod. Phys. E 16, 2595 (2007)
C. Goebel, F. Halzen, D.M. Scott, Phys. Rev. D 22, 2789 (1980)
N. Paver, D. Treleani, Nuovo Cimento A 70, 215 (1982)
B. Humpert, Phys. Lett. B 131, 461 (1983)
B. Humpert, R. Odorico, Phys. Lett. B 154, 211 (1985)
T. Sjostrand, M. Van Zijl, Phys. Rev. D 36, 2019 (1987)
T. Alexopoulos et al., Phys. Lett. B 435, 453 (1998)
F. Abe et al. (CDF Collaboration), Phys. Rev. D 47, 4857 (1993)
F. Abe et al. (CDF Collaboration), Phys. Rev. D 56, 3811 (1997)
F. Abe et al. (CDF Collaboration), Phys. Rev. Lett. 79, 584 (1997)
T. Sjostrand, P.Z. Skands, J. High Energy Phys. 0403, 053 (2004)
J.M. Butterworth, J.R. Forshaw, M.H. Seymour, Z. Phys. C 72, 637 (1996)
M. Bahr, S. Gieseke, M.H. Seymour, J. High Energy Phys. 0807, 076 (2008)
G.I. Veres et al. (PHOBOS Collaboration), arXiv:0806.2803 [nucl-ex]
A. Adare et al. (PHENIX Collaboration), Phys. Rev. Lett. 98, 162301 (2007)
H.J. Drescher, M. Strikman, arXiv:0712.3209 [hep-ph]
L. Cunqueiro, J.D. de Deus, C. Pajares, arXiv:0806.0523 [hep-ph]
I. Bautista, L. Cunqueiro, J.D. de Deus, C. Pajares, arXiv:0905.3058 [hep-ph]
B.Z. Kopeliovich, A.H. Rezaeian, I. Schmidt, Phys. Rev. D 78, 114009 (2008)
M. Luzum, P. Romatschke, arXiv:0901.4588 [nucl-th]
K.H. Ackermann et al. (STAR Collaboration), Phys. Rev. Lett. 86, 402 (2001)
K. Adcox et al. (PHENIX Collaboration), Phys. Rev. Lett. 89, 212301 (2002)
P.F. Kolb, J. Sollfrank, U.W. Heinz, Phys. Rev. C 62, 054909 (2000)
D. Teaney, J. Lauret, E.V. Shuryak, arXiv:nucl-th/0110037
J.Y. Ollitrault, Phys. Rev. D 46, 229 (1992)
S. Voloshin, Y. Zhang, Z. Phys. C 70, 665 (1996)
H. Heiselberg, A.M. Levy, Phys. Rev. C 59, 2716 (1999)
S.A. Voloshin, A.M. Poskanzer, Phys. Lett. B 474, 27 (2000)
C. Alt et al. (NA49 Collaboration), Phys. Rev. C 68, 034903 (2003)
M.L. Miller, K. Reygers, S.J. Sanders, P. Steinberg, Ann. Rev. Nucl. Part. Sci. 57, 205 (2007)
C.W. deJager, H. deVries, C. deVries, At. Data Nucl. Data Tables 14, 485 (1974)
R.S. Bhalerao, J.P. Blaizot, N. Borghini, J.Y. Ollitrault, Phys. Lett. B 627, 49 (2005)
H.J. Drescher, A. Dumitru, C. Gombeaud, J.Y. Ollitrault, Phys. Rev. C 76, 024905 (2007)
C. Gombeaud, J.Y. Ollitrault, Phys. Rev. C 77, 054904 (2008)
A. Adil, H.J. Drescher, A. Dumitru, A. Hayashigaki, Y. Nara, Phys. Rev. C 74, 044905 (2006)
M. Luzum, P. Romatschke, Phys. Rev. C 78, 034915 (2008) [Erratum-ibid. C 79, 039903 (2009)]
P.F. Kolb, U.W. Heinz, in Quark Gluon Plasma 3 (World Sci., Singapore, 2003). arXiv:nucl-th/0305084
R. Engel, Z. Phys. C 66, 203 (1995)
L. Frankfurt, M. Strikman, C. Weiss, M. Zhalov, Czech. J. Phys. B 55, 675 (2005)
R. Hofstadter, Rev. Mod. Phys. 28, 214 (1956)
C. Diaconu, in Proceeds. DIS2007, Munich, Germany, 16–20 Apr 2007
L. Frankfurt, M. Strikman, C. Weiss, Phys. Rev. D 69, 114010 (2004)
M.M. Block, R.N. Cahn, Rev. Mod. Phys. 57, 563 (1985)
M.M. Islam, R.J. Luddy, A.V. Prokudin, Mod. Phys. Lett. A 18, 743 (2003)
I. Sick, Phys. Lett. B 576, 62 (2003)
G.A. Miller, Phys. Rev. Lett. 99, 112001 (2007)
J. Barrette et al. (E877 Collaboration), Phys. Rev. C 55, 1420 (1997) [Erratum-ibid. C 56, 2336 (1997)]
I.P. Lokhtin, L.I. Sarycheva, A.M. Snigirev, Eur. Phys. J. C 30, 103 (2003)
I.P. Lokhtin, L.I. Sarycheva, A.M. Snigirev, Phys. A. Nucl. 66, 2199 (2003)
K.G. Boreskov, A.B. Kaidalov, O.V. Kancheli, Eur. Phys. J. C 58, 445 (2008)
H. Sorge, Phys. Rev. Lett. 82, 2048 (1999)
A.M. Poskanzer, S.A. Voloshin, Phys. Rev. C 58, 1671 (1998)
C.N. Yang, T.D. Lee, Phys. Rev. 87, 404 (1952)
G.Kh. Eyyubova et al., Phys. A. Nucl. 71, 2142 (2008)
CERN CMS CR 2008/022 (2008)
B. Alessandro et al. (ALICE Collaboration), J. Phys. G 32, 1295 (2006)
P. Steinberg (ATLAS Collaboration), J. Phys. G 34, S527 (2007)
D. d’Enterria et al. (CMS Collaboration) (eds.), J. Phys. G 34, 2307 (2007)
R. Vogt, Ultrarelativistic Heavy-Ion Collisions (Elsevier, Amsterdam, 2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
d’Enterria, D., Eyyubova, G.K., Korotkikh, V.L. et al. Estimates of hadron azimuthal anisotropy from multiparton interactions in proton–proton collisions at \(\sqrt{s}=14\) TeV. Eur. Phys. J. C 66, 173–185 (2010). https://doi.org/10.1140/epjc/s10052-009-1232-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-009-1232-7