Parton model description of multiparticle azimuthal correlations in p A collisions

Dusling, Kevin; Mace, Mark; Venugopalan, Raju

doi:10.1103/PhysRevD.97.016014

Title: Parton model description of multiparticle azimuthal correlations in $p A$ collisions

Abstract

In [1], an initial state “parton model” of quarks scattering off a dense nuclear target was shown to qualitatively reproduce the systematics of multiparticle azimuthal anisotropy cumulants measured in proton/deuteron-nucleus (pA) collisions at RHIC and the LHC. The systematics included i) the behavior of the four-particle cumulant c₂{4}, which generates a real four-particle second Fourier harmonic v₂{4}, ii) the ordering v₂{2} > v₂{4} ≈ v₂{6} ≈ v₂{8} for two-, four-, six-, and eight-particle Fourier harmonics, iii) the behavior of so-called symmetric cumulants SC(2,3) and SC(2,4). These features of azimuthal multiparticle cumulants were previously interpreted as a signature of hydrodynamic flow; our results challenge this interpretation. We expand here upon our previous study and present further details and novel results on the saturation scale and transverse momentum (p_⊥) dependence of multiparticle azimuthal correlations. We find that the dependence of v₂{2} and v₂{4} on the number of color domains in the target varies with the p_⊥ window explored. We extend our prior discussion of symmetric cumulants and compute as yet unmeasured symmetric cumulants. We investigate the N_c dependence of v₂{2} and v₂{4}. We contrast our results, which include multiple scatterings of each quark off the target, to the Glasma graph approximation, wheremore »« less

Authors:: Dusling, Kevin; Mace, Mark; Venugopalan, Raju

Publication Date:: Thu Jan 25 00:00:00 EST 2018

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1418085

Alternate Identifier(s):: OSTI ID: 1430888

Report Number(s):: BNL-203402-2018-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 016014

Grant/Contract Number:: SC0012704; FG02-88ER40388; AC02-05CH11231

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Dusling, Kevin, Mace, Mark, and Venugopalan, Raju. Parton model description of multiparticle azimuthal correlations in p A collisions.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.016014.

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                    Dusling, Kevin, Mace, Mark, & Venugopalan, Raju. Parton model description of multiparticle azimuthal correlations in p A collisions.  United States.  https://doi.org/10.1103/PhysRevD.97.016014

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                    Dusling, Kevin, Mace, Mark, and Venugopalan, Raju. Thu .  
"Parton model description of multiparticle azimuthal correlations in p A collisions".  United States.  https://doi.org/10.1103/PhysRevD.97.016014.

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@article{osti_1418085,

  title        = {Parton model description of multiparticle azimuthal correlations in p A collisions},

  author       = {Dusling, Kevin and Mace, Mark and Venugopalan, Raju},

  abstractNote = {In [1], an initial state “parton model” of quarks scattering off a dense nuclear target was shown to qualitatively reproduce the systematics of multiparticle azimuthal anisotropy cumulants measured in proton/deuteron-nucleus (pA) collisions at RHIC and the LHC. The systematics included i) the behavior of the four-particle cumulant c2{4}, which generates a real four-particle second Fourier harmonic v2{4}, ii) the ordering v2{2} > v2{4} ≈ v2{6} ≈ v2{8} for two-, four-, six-, and eight-particle Fourier harmonics, iii) the behavior of so-called symmetric cumulants SC(2,3) and SC(2,4). These features of azimuthal multiparticle cumulants were previously interpreted as a signature of hydrodynamic flow; our results challenge this interpretation. We expand here upon our previous study and present further details and novel results on the saturation scale and transverse momentum (p⊥) dependence of multiparticle azimuthal correlations. We find that the dependence of v2{2} and v2{4} on the number of color domains in the target varies with the p⊥ window explored. We extend our prior discussion of symmetric cumulants and compute as yet unmeasured symmetric cumulants. We investigate the Nc dependence of v2{2} and v2{4}. We contrast our results, which include multiple scatterings of each quark off the target, to the Glasma graph approximation, where each quark suffers at most two gluon exchanges with the target. We find that coherent multiple scattering is essential to obtain a positive definite v2{4}. We provide an algorithm to compute expectation values of arbitrary products of the “dipole” lightlike Wilson line correlators.},

  doi          = {10.1103/PhysRevD.97.016014},

  journal      = {Physical Review D},

  number       = 1,

  volume       = 97,

  place        = {United States},

  year         = {Thu Jan 25 00:00:00 EST 2018},

  month        = {Thu Jan 25 00:00:00 EST 2018}

}

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Physical Review D, Vol. 49, Issue 7
DOI: 10.1103/PhysRevD.49.3352

Evidence from $d + A u$ Measurements for Final-State Suppression of High- $p_{T}$ Hadrons in $A u + A u$ Collisions at RHIC
journal, August 2003

Adams, J.; Adler, C.; Aggarwal, M. M.
Physical Review Letters, Vol. 91, Issue 7
DOI: 10.1103/PhysRevLett.91.072304

Measurement of multi-particle azimuthal correlations in $pp$, $p+$Pb and low-multiplicity Pb$+$Pb collisions with the ATLAS detector
text, January 2017

Aaboud, Morad; Aad, Georges; Abbott, Brad
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2018-00346

Works referencing / citing this record:

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor
The European Physical Journal C, Vol. 79, Issue 7
DOI: 10.1140/epjc/s10052-019-7097-5

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor
The European Physical Journal C, Vol. 79, Issue 7
DOI: 10.1140/epjc/s10052-019-7097-5

Bulk quantities in nuclear collisions from running-coupling $k_{T}$ factorization and hybrid simulations
journal, July 2019

Giannini, Andre V.; Grassi, Frédérique; Luzum, Matthew
Physical Review C, Vol. 100, Issue 1
DOI: 10.1103/physrevc.100.014912

Multiparticle correlation studies in $p Pb$ collisions at $\sqrt{s_{N N}} = 8.16$ TeV
journal, January 2020

Sirunyan, A. M.; Tumasyan, A.; Adam, W.
Physical Review C, Vol. 101, Issue 1
DOI: 10.1103/physrevc.101.014912

Double and triple inclusive gluon production at mid rapidity: quantum interference in p-A scattering
journal, September 2018

Altinoluk, Tolga; Armesto, Néstor; Kovner, Alex
The European Physical Journal C, Vol. 78, Issue 9
DOI: 10.1140/epjc/s10052-018-6186-1

Observation of correlated azimuthal anisotropy Fourier harmonics in pp and pPb collisions at the LHC
text, January 2017

Sirunyan, Albert M.; Tumasyan, Armen; Adam, Wolfgang
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2017-11794

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Title: Parton model description of multiparticle azimuthal correlations in p A collisions

Abstract

Citation Formats

How protons shatter colored glass journal, March 2002

Three-particle correlation from Glasma flux tubes journal, September 2009

Glasma flux tubes and the near side ridge phenomenon at RHIC journal, September 2008

High energy factorization in nucleus-nucleus collisions. II. Multigluon correlations journal, September 2008

Study of high-p T charged particle suppression in PbPb compared to pp collisions at $\sqrt{s_{\mathrm{NN}}}=2.76~\mathrm{TeV}$ journal, March 2012

Azimuthal anisotropies in p + Pb collisions from classical Yang–Mills dynamics journal, July 2015

Initial-state fluctuations in collisions between light and heavy ions journal, August 2016

Elliptic flow from color-dipole orientation in p p and p A collisions journal, May 2017

Correlated Event-by-Event Fluctuations of Flow Harmonics in Pb-Pb Collisions at s N N = 2.76 TeV journal, October 2016

The Color Glass Condensate journal, November 2010

Penetration of a high energy bound state through SU(N) color background journal, October 2002

On multiple scatterings of mesons in hot and cold QCD matter journal, May 2009

Flow analysis from multiparticle azimuthal correlations journal, September 2001

Long range two-particle rapidity correlations in collisions from high energy QCD evolution journal, May 2010

Wilson renormalization group for low x physics: Towards the high density regime journal, November 1998

Evidence for Collective Multiparticle Correlations in p − Pb Collisions journal, June 2015

Angular and long Range Rapidity Correlations in Particle Production at high Energy journal, January 2013

Universality of multiparticle production in QCD at high energies journal, February 2013

Parton distributions for the LHC run II journal, April 2015

Multiparticle Collectivity from Initial State Correlations in High Energy Proton-Nucleus Collisions journal, January 2018

Correlations from hydrodynamic flow in pPb collisions journal, January 2013

Odd azimuthal anisotropy of the Glasma for pA scattering journal, March 2017

Multiplicity dependence of charged pion, kaon, and (anti)proton production at large transverse momentum in p–Pb collisions at s NN = 5.02 TeV journal, September 2016

Transverse-Momentum and Collision-Energy Dependence of High- p T Hadron Suppression in A u + A u Collisions at Ultrarelativistic Energies journal, October 2003

High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs journal, March 2015

Azimuthal harmonics of color fields in a high energy nucleus journal, May 2015

Analysis of combined HERA data in the impact-parameter dependent saturation model journal, February 2013

Imprints of fluctuating proton shapes on flow in proton-lead collisions at the LHC journal, September 2017

Measurement of multi-particle azimuthal correlations in pp, p + Pb and low-multiplicity Pb + Pb collisions with the ATLAS detector journal, June 2017

Unitarity and the BFKL pomeron journal, March 1995

Quantum Electrodynamics at Infinite Momentum: Scattering from an External Field journal, March 1971

Anisotropy of the semiclassical gluon field of a large nucleus at high energy journal, April 2015

The ridge in proton–proton collisions at the LHC journal, February 2011

Symmetric cumulants and event-plane correlations in Pb + Pb collisions journal, July 2016

Multipole scattering amplitudes in the color glass condensate formalism journal, June 2017

Initial state angular asymmetries in high energy p+A collisions: Spontaneous breaking of rotational symmetry by a color electric field and C-odd fluctuations journal, January 2015

Correlations of flow harmonics in 2.76 A TeV Pb-Pb collisions journal, April 2017

Scaling relation between p A and A A collisions journal, November 2014

Multiparticle azimuthal correlations in p -Pb and Pb-Pb collisions at the CERN Large Hadron Collider journal, November 2014

Angular correlations in gluon production at high energy journal, February 2011

PHENIX results on multiparticle correlations in small systems journal, November 2017

Relative flow fluctuations as a probe of initial state fluctuations journal, May 2017

Non-Gaussian eccentricity fluctuations journal, September 2016

Comparison of the color glass condensate to dihadron correlations in proton-proton and proton-nucleus collisions journal, May 2013

Eikonal evolution and gluon radiation journal, October 2001

Long-range rapidity correlations in heavy–light ion collisions journal, May 2013

Tracing the origin of azimuthal gluon correlations in the color glass condensate journal, January 2016

Nonlinear gluon evolution in the color glass condensate: I journal, September 2001

Single inclusive particle production at high energy from HERA data to proton-nucleus collisions journal, December 2013

PHENIX Overview journal, November 2017

Expokit: a software package for computing matrix exponentials journal, March 1998

Parton fragmentation and string dynamics journal, July 1983

High energy pA collisions in the color glass condensate approach II: quark pair production journal, October 2004

Glittering Glasmas journal, September 2009

Computing quark and gluon distribution functions for very large nuclei journal, March 1994

Generic framework for anisotropic flow analyses with multiparticle azimuthal correlations journal, June 2014

Light projectile scattering off the Color Glass Condensate journal, June 2007

Initial-state geometry and the role of hydrodynamics in proton-proton, proton-nucleus, and deuteron-nucleus collisions journal, June 2013

Forward Quark Jets from Protons Shattering the Color Glass Condensate journal, June 2002

AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks journal, July 2011

High energy factorization in nucleus-nucleus collisions. I journal, September 2008

Novel collective phenomena in high-energy proton–proton and proton–nucleus collisions journal, January 2016

Triple-gluon and quadruple-gluon azimuthal correlations from glasma and higher-dimensional ridges journal, February 2015

Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions journal, July 2013

Long range azimuthal correlations of multiple gluons in gluon saturation limit journal, March 2016

Non-perturbative computation of double inclusive gluon production in the Glasma journal, January 2010

Azimuthal asymmetries and the emergence of “collectivity” from multi-particle correlations in high-energy pA collisions journal, April 2015

Explanation of systematics of CMS p + Pb high multiplicity dihadron data at s NN = 5.02 TeV journal, March 2013

Collectivity in Small Collision Systems: An Initial-State Perspective journal, January 2016

Azimuthal Collimation of Long Range Rapidity Correlations by Strong Color Fields in High Multiplicity Hadron-Hadron Collisions journal, June 2012

Exclusive diffractive processes at HERA within the dipole picture journal, October 2006

Mass Ordering of Spectra from Fragmentation of Saturated Gluon States in High-Multiplicity Proton-Proton Collisions journal, October 2016

Gluon distribution functions for very large nuclei at small transverse momentum journal, April 1994

Evidence from d + A u Measurements for Final-State Suppression of High- p T Hadrons in A u + A u Collisions at RHIC journal, August 2003

Measurement of multi-particle azimuthal correlations in $pp$, $p+$Pb and low-multiplicity Pb$+$Pb collisions with the ATLAS detector text, January 2017

Non-eikonal corrections to multi-particle production in the color glass condensate journal, July 2019

Non-eikonal corrections to multi-particle production in the color glass condensate journal, July 2019

Title: Parton model description of multiparticle azimuthal correlations in $p A$ collisions

How protons shatter colored glass
journal, March 2002

Three-particle correlation from Glasma flux tubes
journal, September 2009

Glasma flux tubes and the near side ridge phenomenon at RHIC
journal, September 2008

High energy factorization in nucleus-nucleus collisions. II. Multigluon correlations
journal, September 2008

Study of high-p T charged particle suppression in PbPb compared to pp collisions at $\sqrt{s_{\mathrm{NN}}}=2.76~\mathrm{TeV}$
journal, March 2012

Azimuthal anisotropies in p + Pb collisions from classical Yang–Mills dynamics
journal, July 2015

Initial-state fluctuations in collisions between light and heavy ions
journal, August 2016

Elliptic flow from color-dipole orientation in $p p$ and $p A$ collisions
journal, May 2017

Correlated Event-by-Event Fluctuations of Flow Harmonics in Pb-Pb Collisions at $\sqrt{s_{N N}} = 2.76 TeV$
journal, October 2016

The Color Glass Condensate
journal, November 2010

Penetration of a high energy bound state through SU(N) color background
journal, October 2002

On multiple scatterings of mesons in hot and cold QCD matter
journal, May 2009

Flow analysis from multiparticle azimuthal correlations
journal, September 2001

Long range two-particle rapidity correlations in collisions from high energy QCD evolution
journal, May 2010

Wilson renormalization group for low x physics: Towards the high density regime
journal, November 1998

Evidence for Collective Multiparticle Correlations in $p − Pb$ Collisions
journal, June 2015

Angular and long Range Rapidity Correlations in Particle Production at high Energy
journal, January 2013

Universality of multiparticle production in QCD at high energies
journal, February 2013

Parton distributions for the LHC run II
journal, April 2015

Multiparticle Collectivity from Initial State Correlations in High Energy Proton-Nucleus Collisions
journal, January 2018

Correlations from hydrodynamic flow in pPb collisions
journal, January 2013

Odd azimuthal anisotropy of the Glasma for pA scattering
journal, March 2017

Multiplicity dependence of charged pion, kaon, and (anti)proton production at large transverse momentum in p–Pb collisions at $\sqrt{s_{NN}} = 5.02 TeV$
journal, September 2016

Transverse-Momentum and Collision-Energy Dependence of High- $p_{T}$ Hadron Suppression in $A u + A u$ Collisions at Ultrarelativistic Energies
journal, October 2003

High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs
journal, March 2015

Azimuthal harmonics of color fields in a high energy nucleus
journal, May 2015

Analysis of combined HERA data in the impact-parameter dependent saturation model
journal, February 2013

Imprints of fluctuating proton shapes on flow in proton-lead collisions at the LHC
journal, September 2017

Measurement of multi-particle azimuthal correlations in pp, p + Pb and low-multiplicity Pb + Pb collisions with the ATLAS detector
journal, June 2017

Unitarity and the BFKL pomeron
journal, March 1995

Quantum Electrodynamics at Infinite Momentum: Scattering from an External Field
journal, March 1971

Anisotropy of the semiclassical gluon field of a large nucleus at high energy
journal, April 2015

The ridge in proton–proton collisions at the LHC
journal, February 2011

Symmetric cumulants and event-plane correlations in Pb + Pb collisions
journal, July 2016

Multipole scattering amplitudes in the color glass condensate formalism
journal, June 2017

Initial state angular asymmetries in high energy p+A collisions: Spontaneous breaking of rotational symmetry by a color electric field and C-odd fluctuations
journal, January 2015

Correlations of flow harmonics in $2.76 A$ TeV Pb-Pb collisions
journal, April 2017

Scaling relation between $p A$ and $A A$ collisions
journal, November 2014

Multiparticle azimuthal correlations in $p$ -Pb and Pb-Pb collisions at the CERN Large Hadron Collider
journal, November 2014

Angular correlations in gluon production at high energy
journal, February 2011

PHENIX results on multiparticle correlations in small systems
journal, November 2017

Relative flow fluctuations as a probe of initial state fluctuations
journal, May 2017

Non-Gaussian eccentricity fluctuations
journal, September 2016

Comparison of the color glass condensate to dihadron correlations in proton-proton and proton-nucleus collisions
journal, May 2013

Eikonal evolution and gluon radiation
journal, October 2001

Long-range rapidity correlations in heavy–light ion collisions
journal, May 2013

Tracing the origin of azimuthal gluon correlations in the color glass condensate
journal, January 2016

Nonlinear gluon evolution in the color glass condensate: I
journal, September 2001

Single inclusive particle production at high energy from HERA data to proton-nucleus collisions
journal, December 2013

PHENIX Overview
journal, November 2017

Expokit: a software package for computing matrix exponentials
journal, March 1998

Parton fragmentation and string dynamics
journal, July 1983

High energy pA collisions in the color glass condensate approach II: quark pair production
journal, October 2004

Glittering Glasmas
journal, September 2009

Computing quark and gluon distribution functions for very large nuclei
journal, March 1994

Generic framework for anisotropic flow analyses with multiparticle azimuthal correlations
journal, June 2014

Light projectile scattering off the Color Glass Condensate
journal, June 2007

Initial-state geometry and the role of hydrodynamics in proton-proton, proton-nucleus, and deuteron-nucleus collisions
journal, June 2013

Forward Quark Jets from Protons Shattering the Color Glass Condensate
journal, June 2002

AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
journal, July 2011

High energy factorization in nucleus-nucleus collisions. I
journal, September 2008

Novel collective phenomena in high-energy proton–proton and proton–nucleus collisions
journal, January 2016

Triple-gluon and quadruple-gluon azimuthal correlations from glasma and higher-dimensional ridges
journal, February 2015

Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions
journal, July 2013

Long range azimuthal correlations of multiple gluons in gluon saturation limit
journal, March 2016

Non-perturbative computation of double inclusive gluon production in the Glasma
journal, January 2010

Azimuthal asymmetries and the emergence of “collectivity” from multi-particle correlations in high-energy pA collisions
journal, April 2015

Explanation of systematics of CMS $p + Pb$ high multiplicity dihadron data at ${\sqrt{s}}_{NN} = 5.02 TeV$
journal, March 2013

Collectivity in Small Collision Systems: An Initial-State Perspective
journal, January 2016

Azimuthal Collimation of Long Range Rapidity Correlations by Strong Color Fields in High Multiplicity Hadron-Hadron Collisions
journal, June 2012

Exclusive diffractive processes at HERA within the dipole picture
journal, October 2006

Mass Ordering of Spectra from Fragmentation of Saturated Gluon States in High-Multiplicity Proton-Proton Collisions
journal, October 2016

Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994

Evidence from $d + A u$ Measurements for Final-State Suppression of High- $p_{T}$ Hadrons in $A u + A u$ Collisions at RHIC
journal, August 2003

Measurement of multi-particle azimuthal correlations in $pp$, $p+$Pb and low-multiplicity Pb$+$Pb collisions with the ATLAS detector
text, January 2017

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

Bulk quantities in nuclear collisions from running-coupling $k_{T}$ factorization and hybrid simulations
journal, July 2019

Multiparticle correlation studies in $p Pb$ collisions at $\sqrt{s_{N N}} = 8.16$ TeV
journal, January 2020