Exploring correlations in the CGC wave function: Odd azimuthal anisotropy

Kovner, Alex; Lublinsky, Michael; Skokov, Vladimir

doi:10.1103/PhysRevD.96.016010

Title: Exploring correlations in the CGC wave function: Odd azimuthal anisotropy

Journal Article · Mon Jul 17 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.016010· OSTI ID:1392300

Kovner, Alex ^[1]; Lublinsky, Michael ^[2]; Skokov, Vladimir ^[3]

Univ. of Connecticut, Storrs, CT (United States)
Ben-Gurion Univ. of the Negev, Beer Sheva (Israel)
Brookhaven National Lab. (BNL), Upton, NY (United States)

In this paper, we extend the color glass condensate (CGC) approach to a calculation of the double inclusive gluon production by including the high density effect in the CGC wave function of the projectile (proton). Our main result is that these effects lead to the appearance of odd harmonics in the two particle correlation C(k,p). We find that in the high momentum limit, |k|, |p| >> Q_s, this results in a positive c₁{2}. Additionally when the magnitudes of the two momenta are approximately equal, |k|/|p| ≈ 1, the density effects also generate a positive third harmonic c₃{2}, which translates into a nonvanishing v₃ when the momenta of the trigger and an associated particle are in the same momentum bin. Finally, the sign of c₃{2} becomes negative when |k|/|p| > 1.1 suggesting an interesting experimental signature.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Ben-Gurion Univ. of the Negev, Beer Sheva (Israel); Univ. of Connecticut, Storrs, CT (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF); Israel Science Foundation (ISF); United States-Israel Binational Science Foundation (BSF); European Union (EU)

Grant/Contract Number:: SC0012704; 1614640; 1635/16; 147/12; 2012124; 2014707; 318921

OSTI ID:: 1392300

Report Number(s):: BNL-114307-2017-JA; R&D Project: PO-3

Journal Information:: Physical Review D, Vol. 96, Issue 1; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 34 works

Citation information provided by
Web of Science

References (50)

Glasma flux tubes and the near side ridge phenomenon at RHIC Dumitru, Adrian; Gelis, François; McLerran, Larry Nuclear Physics A, Vol. 810, Issue 1-4 https://doi.org/10.1016/j.nuclphysa.2008.06.012	journal	September 2008
Measurement with the ATLAS detector of multi-particle azimuthal correlations in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mtext>Pb</mml:mtext></mml:math> collisions at <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msqrt><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">NN</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>5.02</mml:mn><mml:mtext> </mml:mtext><mml:mtext>TeV</mml:mtext></mml:math> Aad, G.; Abajyan, T.; Abbott, B. Physics Letters B, Vol. 725, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.06.057	journal	August 2013
From bubbles to foam: dilute to dense evolution of hadronic wave function at high energy Kovner, Alex; Lublinsky, Michael; Wiedemann, Urs Achim Journal of High Energy Physics, Vol. 2007, Issue 06 https://doi.org/10.1088/1126-6708/2007/06/075	journal	June 2007
Azimuthal anisotropies in p + Pb collisions from classical Yang–Mills dynamics Schenke, Björn; Schlichting, Sören; Venugopalan, Raju Physics Letters B, Vol. 747 https://doi.org/10.1016/j.physletb.2015.05.051	journal	July 2015
Bose enhancement and the ridge Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume Physics Letters B, Vol. 751 https://doi.org/10.1016/j.physletb.2015.10.072	journal	December 2015
In pursuit of Pomeron loops: The Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner equation and the Wess-Zumino term Kovner, Alex; Lublinsky, Michael Physical Review D, Vol. 71, Issue 8 https://doi.org/10.1103/PhysRevD.71.085004	journal	April 2005
Saturation in diffractive deep inelastic scattering Golec-Biernat, K.; Wüsthoff, M. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.114023	journal	November 1999
Vector potential versus color charge density in low- $x$ evolution Kovner, Alex; Guilherme Milhano, J. Physical Review D, Vol. 61, Issue 1 https://doi.org/10.1103/PhysRevD.61.014012	journal	December 1999
Flow analysis from multiparticle azimuthal correlations Borghini, Nicolas; Dinh, Phuong Mai; Ollitrault, Jean-Yves Physical Review C, Vol. 64, Issue 5 https://doi.org/10.1103/PhysRevC.64.054901	journal	September 2001
Jet azimuthal correlations and parton saturation in the color glass condensate Kharzeev, Dmitri; Levin, Eugene; McLerran, Larry Nuclear Physics A, Vol. 748, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2004.10.031	journal	February 2005
Angular and long Range Rapidity Correlations in Particle Production at high Energy Kovner, Alex; Lublinsky, Michael International Journal of Modern Physics E, Vol. 22, Issue 01 https://doi.org/10.1142/S0218301313300014	journal	January 2013
Observation of Associated Near-Side and Away-Side Long-Range Correlations in $\sqrt{s_{N N}} = 5.02 TeV$ Proton-Lead Collisions with the ATLAS Detector Aad, G.; Abajyan, T.; Abbott, B. Physical Review Letters, Vol. 110, Issue 18 https://doi.org/10.1103/PhysRevLett.110.182302	journal	May 2013
Odd azimuthal anisotropy of the Glasma for pA scattering McLerran, Larry; Skokov, Vladimir Nuclear Physics A, Vol. 959 https://doi.org/10.1016/j.nuclphysa.2016.12.011	journal	March 2017
Observation of long-range, near-side angular correlations in proton-proton collisions at the LHC Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A. Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)091	journal	September 2010
Observation of Long-Range Elliptic Azimuthal Anisotropies in $\sqrt{s} = 13$ and 2.76 TeV $p p$ Collisions with the ATLAS Detector Aad, G.; Abbott, B.; Abdallah, J. Physical Review Letters, Vol. 116, Issue 17 https://doi.org/10.1103/PhysRevLett.116.172301	journal	April 2016
High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs Skokov, Vladimir Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054014	journal	March 2015
Anisotropy of the semiclassical gluon field of a large nucleus at high energy Dumitru, Adrian; Skokov, Vladimir Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074006	journal	April 2015
Perturbative QCD and beyond: Azimuthal angle correlations in deuteron-deuteron scattering from Bose-Einstein correlations Gotsman, E.; Levin, E. Physical Review D, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevD.95.014034	journal	January 2017
Elliptic and Triangular Flow in $p$ -Pb and Peripheral Pb-Pb Collisions from Parton Scatterings Bzdak, Adam; Ma, Guo-Liang Physical Review Letters, Vol. 113, Issue 25 https://doi.org/10.1103/PhysRevLett.113.252301	journal	December 2014
The ridge in proton–proton collisions at the LHC Dumitru, Adrian; Dusling, Kevin; Gelis, François Physics Letters B, Vol. 697, Issue 1 https://doi.org/10.1016/j.physletb.2011.01.024	journal	February 2011
The BFKL equation from the Wilson renormalization group Jalilian-Marian, Jamal; Kovner, Alex; Leonidov, Andrei Nuclear Physics B, Vol. 504, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00440-9	journal	October 1997
Initial state angular asymmetries in high energy p+A collisions: Spontaneous breaking of rotational symmetry by a color electric field and C-odd fluctuations Dumitru, Adrian; Giannini, Andre V. Nuclear Physics A, Vol. 933 https://doi.org/10.1016/j.nuclphysa.2014.10.037	journal	January 2015
Evidence for Flow from Hydrodynamic Simulations of $p − Pb$ Collisions at 5.02 TeV from $v_{2}$ Mass Splitting Werner, K.; Bleicher, M.; Guiot, B. Physical Review Letters, Vol. 112, Issue 23 https://doi.org/10.1103/PhysRevLett.112.232301	journal	June 2014
Perturbative odderon in the dipole model Kovchegov, Yuri V.; Szymanowski, Lech; Wallon, Samuel Physics Letters B, Vol. 586, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.02.036	journal	April 2004
Multiparticle azimuthal correlations in $p$ -Pb and Pb-Pb collisions at the CERN Large Hadron Collider Abelev, B.; Adam, J.; Adamová, D. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054901	journal	November 2014
Angular correlations in gluon production at high energy Kovner, Alex; Lublinsky, Michael Physical Review D, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevD.83.034017	journal	February 2011
Collective flow in small systems Bożek, Piotr; Broniowski, Wojciech Nuclear Physics A, Vol. 931 https://doi.org/10.1016/j.nuclphysa.2014.08.063	journal	November 2014
Nonlinear gluon evolution in the color glass condensate: II Ferreiro, Elena; Iancu, Edmond; Leonidov, Andrei Nuclear Physics A, Vol. 703, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)01329-X	journal	May 2002
Unitarity at small Bjorken x Weigert, Heribert Nuclear Physics A, Vol. 703, Issue 3-4 https://doi.org/10.1016/S0375-9474(01)01668-2	journal	June 2002
The renormalization group equation for the color glass condensate Iancu, Edmond; Leonidov, Andrei; McLerran, Larry Physics Letters B, Vol. 510, Issue 1-4 https://doi.org/10.1016/S0370-2693(01)00524-X	journal	June 2001
Observation of long-range, near-side angular correlations in pPb collisions at the LHC Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. Physics Letters B, Vol. 718, Issue 3 https://doi.org/10.1016/j.physletb.2012.11.025	journal	January 2013
One gluon, two gluon: multigluon production via high energy evolution Kovner, Alex; Lublinsky, Michael Journal of High Energy Physics, Vol. 2006, Issue 11 https://doi.org/10.1088/1126-6708/2006/11/083	journal	November 2006
Comparison of the color glass condensate to dihadron correlations in proton-proton and proton-nucleus collisions Dusling, Kevin; Venugopalan, Raju Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094034	journal	May 2013
Long-range rapidity correlations in heavy–light ion collisions Kovchegov, Yuri V.; Wertepny, Douglas E. Nuclear Physics A, Vol. 906 https://doi.org/10.1016/j.nuclphysa.2013.03.006	journal	May 2013
Nonlinear gluon evolution in the color glass condensate: I Iancu, Edmond; Leonidov, Andrei; McLerran, Larry Nuclear Physics A, Vol. 692, Issue 3-4 https://doi.org/10.1016/S0375-9474(01)00642-X	journal	September 2001
Treading on the cut: Semi-inclusive observables at high energy Kovner, A.; Lublinsky, M.; Weigert, H. Physical Review D, Vol. 74, Issue 11 https://doi.org/10.1103/PhysRevD.74.114023	journal	December 2006
Inclusive gluon production in the QCD Reggeon field theory: Pomeron loops included Altinoluk, Tolga; Kovner, Alex; Lublinsky, Michael Journal of High Energy Physics, Vol. 2009, Issue 03 https://doi.org/10.1088/1126-6708/2009/03/110	journal	March 2009
Long-range angular correlations on the near and away side in p–Pb collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">NN</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>5.02</mml:mn><mml:mtext> TeV</mml:mtext></mml:math> Abelev, Betty; Adam, Jaroslav; Adamova, Dagmar Physics Letters B, Vol. 719, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.01.012	journal	February 2013
Relating different approaches to nonlinear QCD evolution at finite gluon density Kovner, Alex; Milhano, J. Guilherme; Weigert, Heribert Physical Review D, Vol. 62, Issue 11 https://doi.org/10.1103/PhysRevD.62.114005	journal	October 2000
Computing quark and gluon distribution functions for very large nuclei McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 5 https://doi.org/10.1103/PhysRevD.49.2233	journal	March 1994
Saturation effects in deep inelastic scattering at low $Q^{2}$ and its implications on diffraction Golec-Biernat, K.; Wüsthoff, M. Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014017	journal	November 1998
Wilson renormalization group for low x physics: Gluon evolution at finite parton density Jalilian-Marian, Jamal; Kovner, Alex; Weigert, Heribert Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.014015	journal	November 1998
CGC/saturation approach for high energy soft interactions: ‘soft’ Pomeron structure and $$v_{n}$$ v n in hadron and nucleus collisions from Bose–Einstein correlations Gotsman, E.; Levin, E.; Maor, U. The European Physical Journal C, Vol. 76, Issue 11 https://doi.org/10.1140/epjc/s10052-016-4434-9	journal	November 2016
Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. Physics Letters B, Vol. 724, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.06.028	journal	July 2013
Mass Hierarchy in Identified Particle Distributions in Proton-Lead Collisions Bożek, Piotr; Broniowski, Wojciech; Torrieri, Giorgio Physical Review Letters, Vol. 111, Issue 17 https://doi.org/10.1103/PhysRevLett.111.172303	journal	October 2013
Azimuthal asymmetries and the emergence of “collectivity” from multi-particle correlations in high-energy pA collisions Dumitru, Adrian; McLerran, Larry; Skokov, Vladimir Physics Letters B, Vol. 743 https://doi.org/10.1016/j.physletb.2015.02.046	journal	April 2015
A new odderon solution in perturbative QCD Bartels, J.; Lipatov, L. N.; Vacca, G. P. Physics Letters B, Vol. 477, Issue 1-3 https://doi.org/10.1016/S0370-2693(00)00221-5	journal	March 2000
Azimuthal Collimation of Long Range Rapidity Correlations by Strong Color Fields in High Multiplicity Hadron-Hadron Collisions Dusling, Kevin; Venugopalan, Raju Physical Review Letters, Vol. 108, Issue 26 https://doi.org/10.1103/PhysRevLett.108.262001	journal	June 2012
QCD Reggeon field theory for every day: Pomeron loops included Altinoluk, Tolga; Kovner, Alex; Lublinsky, Michael Journal of High Energy Physics, Vol. 2009, Issue 03 https://doi.org/10.1088/1126-6708/2009/03/109	journal	March 2009
Gluon distribution functions for very large nuclei at small transverse momentum McLerran, Larry; Venugopalan, Raju Physical Review D, Vol. 49, Issue 7 https://doi.org/10.1103/PhysRevD.49.3352	journal	April 1994

Cited By (5)

A CGC/saturation approach for angular correlations in proton–proton scattering Gotsman, E.; Levin, E.; Potashnikova, I. The European Physical Journal C, Vol. 77, Issue 9 https://doi.org/10.1140/epjc/s10052-017-5204-z	journal	September 2017
Double and triple inclusive gluon production at mid rapidity: quantum interference in p-A scattering Altinoluk, Tolga; Armesto, Néstor; Kovner, Alex The European Physical Journal C, Vol. 78, Issue 9 https://doi.org/10.1140/epjc/s10052-018-6186-1	journal	September 2018
Non-eikonal corrections to multi-particle production in the color glass condensate Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor The European Physical Journal C, Vol. 79, Issue 7 https://doi.org/10.1140/epjc/s10052-019-7097-5	journal	July 2019
Double and triple inclusive gluon production at mid rapidity: quantum interference in p-A scattering Altinoluk, Tolga; Armesto, Néstor; Kovner, Alex arXiv https://doi.org/10.48550/arxiv.1805.07739	text	January 2018
Non-eikonal corrections to multi-particle production in the Color Glass Condensate Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor arXiv https://doi.org/10.48550/arxiv.1902.04483	text	January 2019

Similar Records

Initial state

q q g

correlations as a background for the chiral magnetic effect in collision of small systems

Journal Article · Mon Nov 13 00:00:00 EST 2017 · Physical Review D · OSTI ID:1392300

Kovner, Alex; Lublinsky, Michael; Skokov, Vladimir

Comparison of improved TMD and CGC frameworks in forward quark dijet production

Journal Article · Mon Dec 28 00:00:00 EST 2020 · Journal of High Energy Physics (Online) · OSTI ID:1392300

Fujii, Hirotsugu; Marquet, Cyrille; Watanabe, Kazuhiro

Measurements of azimuthal anisotropies at forward and backward rapidity with muons in high-multiplicity p–Pb collisions at $\sqrt{s_{NN}} = 8.16$ TeV

Journal Article · Fri Sep 15 00:00:00 EDT 2023 · Physics Letters. B · OSTI ID:1392300

Acharya, S.; Adamová, D.; Adler, A.; +1027 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
collective flow
particle & resonance production
particle correlations & fluctuations
quantum chromodynamics

Title: Exploring correlations in the CGC wave function: Odd azimuthal anisotropy

Citation Formats

References (50)

Cited By (5)

Similar Records

Related Subjects