The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider

Boussarie, Renaud; Mäntysaari, Heikki; Salazar, Farid; Schenke, Björn

doi:10.1007/jhep09(2021)178

Title: The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider

Abstract

We compute the differential yield for quark anti-quark dijet production in high-energy electron-proton and electron-nucleus collisions at small x as a function of the relative momentum P_⊥ and momentum imbalance k_⊥ of the dijet system for different photon virtualities Q², and study the elliptic and quadrangular anisotropies in the relative angle between P_⊥ and k_⊥. We review and extend the analysis in [1], which compared the results of the Color Glass Condensate (CGC) with those obtained using the transverse momentum dependent (TMD) framework. In particular, we include in our comparison the improved TMD (ITMD) framework, which resums kinematic power corrections of the ratio k_⊥ over the hard scale Q_⊥. By comparing ITMD and CGC results we are able to isolate genuine higher saturation contributions in the ratio Q_s/Q_⊥ which are resummed only in the CGC. These saturation contributions are in addition to those in the Weizsäcker-Williams gluon TMD that appear in powers of Q_s/k_⊥. We provide numerical estimates of these contributions for inclusive dijet production at the future Electron-Ion Collider, and identify kinematic windows where they can become relevant in the measurement of dijet and dihadron azimuthal correlations. We argue that such measurements will allow the detailed experimental study ofmore »« less

Authors:

Boussarie, Renaud ^[1]; Mäntysaari, Heikki ^[2];

^[3]; Schenke, Björn ^[4]

Ecole Polytechnique, Palaiseau (France)
Univ. of Jyvaskyla (Finland); Univ. of Helsinki (Finland)
Stony Brook Univ., NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Mon Sep 27 00:00:00 EDT 2021

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

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); Academy of Finland; European Commission (EC)

OSTI Identifier:: 1822352

Report Number(s):: BNL-222162-2021-JAAM
Journal ID: ISSN 1029-8479; TRN: US2214461

Grant/Contract Number:: SC0012704; AC02-05CH11231; 314764; 824093

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; deep inelastic scattering (phenomenology); QCD phenomenology

Citation Formats


                    Boussarie, Renaud, Mäntysaari, Heikki, Salazar, Farid, and Schenke, Björn. The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider.  United States: N. p., 2021. 
Web.  doi:10.1007/jhep09(2021)178.

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                    Boussarie, Renaud, Mäntysaari, Heikki, Salazar, Farid, & Schenke, Björn. The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider.  United States.  https://doi.org/10.1007/jhep09(2021)178

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                    Boussarie, Renaud, Mäntysaari, Heikki, Salazar, Farid, and Schenke, Björn. Mon .  
"The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider".  United States.  https://doi.org/10.1007/jhep09(2021)178.  https://www.osti.gov/servlets/purl/1822352.

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@article{osti_1822352,

  title        = {The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider},

  author       = {Boussarie, Renaud and Mäntysaari, Heikki and Salazar, Farid and Schenke, Björn},

  abstractNote = {We compute the differential yield for quark anti-quark dijet production in high-energy electron-proton and electron-nucleus collisions at small x as a function of the relative momentum P⊥ and momentum imbalance k⊥ of the dijet system for different photon virtualities Q2, and study the elliptic and quadrangular anisotropies in the relative angle between P⊥ and k⊥. We review and extend the analysis in [1], which compared the results of the Color Glass Condensate (CGC) with those obtained using the transverse momentum dependent (TMD) framework. In particular, we include in our comparison the improved TMD (ITMD) framework, which resums kinematic power corrections of the ratio k⊥ over the hard scale Q⊥. By comparing ITMD and CGC results we are able to isolate genuine higher saturation contributions in the ratio Qs/Q⊥ which are resummed only in the CGC. These saturation contributions are in addition to those in the Weizsäcker-Williams gluon TMD that appear in powers of Qs/k⊥. We provide numerical estimates of these contributions for inclusive dijet production at the future Electron-Ion Collider, and identify kinematic windows where they can become relevant in the measurement of dijet and dihadron azimuthal correlations. We argue that such measurements will allow the detailed experimental study of both kinematic power corrections and genuine gluon saturation effects.},

  doi          = {10.1007/jhep09(2021)178},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 9,

  volume       = 2021,

  place        = {United States},

  year         = {Mon Sep 27 00:00:00 EDT 2021},

  month        = {Mon Sep 27 00:00:00 EDT 2021}

}

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Low-x improved TMD approach to the lepto- and hadroproduction of a heavy-quark pair
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Altinoluk, Tolga; Marquet, Cyrille; Taels, Pieter
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Jalilian-Marian, Jamal; Rezaeian, Amir H.
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Roy, Kaushik; Venugopalan, Raju
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Altinoluk, Tolga; Armesto, Néstor; Beuf, Guillaume
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Blaizot, Jean-Paul; Iancu, Edmond; Weigert, Heribert
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Dumitru, Adrian; Skokov, Vladimir
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Title: The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider

Abstract

Citation Formats

TMD gluon distributions at small x in the CGC theory journal, May 2018

Quark contribution to the small- x evolution of color dipole journal, January 2007

Inclusive prompt photon production in electron-nucleus scattering at small x journal, May 2018

Semi-inclusive deep inelastic scattering at small-x journal, November 2009

Systematics of strong nuclear amplification of gluon saturation from exclusive vector meson production in high energy electron–nucleus collisions journal, June 2018

Semihard processes in QCD journal, November 1983

The Color Glass Condensate journal, November 2010

The electron–ion collider: assessing the energy dependence of key measurements journal, January 2019

Jet azimuthal correlations and parton saturation in the color glass condensate journal, February 2005

Cronin effect and high- p T suppression in pA collisions journal, November 2003

Relations between generalized and transverse momentum dependent parton distributions journal, August 2007

Inclusive prompt photon-jet correlations as a probe of gluon saturation in electron-nucleus scattering at small x journal, January 2021

Gauge-Invariant Decomposition of Nucleon Spin journal, January 1997

Distribution of Linearly Polarized Gluons and Elliptic Azimuthal Anisotropy in Deep Inelastic Scattering Dijet Production at High Energy journal, December 2015

Diffractive dijet production and Wigner distributions from the color glass condensate journal, April 2019

Color charge correlations in the proton at NLO: Beyond geometry based intuition journal, September 2021

Next-to-leading order Balitsky-Kovchegov equation with resummation journal, May 2016

QCD saturation at the LHC: Comparisons of models to p+p and A+A data and predictions for p+Pb collisions journal, March 2012

Renormalization group evolution of multi-gluon correlators in high energy QCD journal, December 2011

Distribution of linearly polarized gluons inside a large nucleus journal, September 2011

Fock space distributions, structure functions, higher twists, and small x journal, March 1999

Forward dihadron correlations in deuteron–gold collisions with a Gaussian approximation of JIMWLK journal, June 2013

Saturation and universality in QCD at small x journal, June 2001

Multigluon Correlations and Evidence of Saturation from Dijet Measurements at an Electron-Ion Collider journal, March 2020

Azimuthal Correlations of Forward Dihadrons in d + Au Collisions at RHIC in the Color Glass Condensate journal, October 2010

Transverse momentum dependence in gluon distribution and fragmentation functions journal, April 2001

The one loop gluon emission light cone wave function journal, April 2017

One-loop corrections to light cone wave functions: The dipole picture DIS cross section journal, June 2018

Gluon TMD in particle production from low to moderate x journal, June 2016

Linearly polarized gluons and axial charge fluctuations in the glasma journal, February 2018

Nonlinear gluon evolution in the color glass condensate: II journal, May 2002

Accessing the gluonic structure of light nuclei at a future electron-ion collider journal, January 2020

Dihadron momentum imbalance and correlations in d + Au collisions journal, March 2012

Nonforward parton distributions journal, November 1997

The renormalization group equation for the color glass condensate journal, June 2001

Mining for Gluon Saturation at Colliders journal, August 2021

Gauge invariance of transverse momentum dependent distributions at small x journal, May 2021

Saturation and forward jets in proton-lead collisions at the LHC journal, December 2019

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

Evidence of Strong Proton Shape Fluctuations from Incoherent Diffraction journal, July 2016

Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework journal, December 2016

Sub-femtometer scale color charge fluctuations in a proton made of three quarks and a gluon journal, February 2021

Anisotropy in Dijet Production in Exclusive and Inclusive Processes journal, April 2021

Next-to-leading order evolution of color dipoles journal, January 2008

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

Polarized 3 parton production in inclusive DIS at small x journal, October 2016

KaTie: For parton-level event generation with k T -dependent initial states journal, March 2018

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

From deep inelastic scattering to proton-nucleus collisions in the color glass condensate model journal, April 2003

Parton distribution and decay functions journal, January 1982

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

Low x physics as an infinite twist (G)TMD framework: unravelling the origins of saturation journal, October 2019

Transverse momentum dependent gluon distribution within high energy factorization at next-to-leading order journal, September 2021

J / Ψ production in ultraperipheral Pb+Pb and p +Pb collisions at energies available at the CERN Large Hadron Collider journal, March 2013

Impact-parameter dependent color glass condensate dipole model and new combined HERA data journal, October 2013

Probing subnucleon scale fluctuations in ultraperipheral heavy ion collisions journal, September 2017

Towards a complete next-to-logarithmic description of forward exclusive diffractive dijet electroproduction at HERA: Real corrections journal, October 2019

Forward J / ψ production at high energy: Centrality dependence and mean transverse momentum journal, October 2016

Confronting the impact parameter dependent JIMWLK evolution with HERA data journal, August 2018

Dipole factorization for DIS at NLO: Combining the q q ¯ and q q ¯ g contributions journal, October 2017

Isolated photon production in proton-nucleus collisions at forward rapidity journal, March 2018

Intrinsic glue distribution at very small x journal, May 1997

JIMWLK evolution in the Gaussian approximation journal, April 2012

Measuring the Weizsäcker-Williams distribution of linearly polarized gluons at an electron-ion collider through dijet azimuthal asymmetries journal, January 2019

Transverse momentum imbalance of back-to-back particle production in p + A and e + A collisions journal, November 2012

Gluon saturation and initial conditions for relativistic heavy ion collisions journal, May 2014

Forward dihadron back-to-back correlations in p A collisions journal, January 2019

Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions journal, September 2015

Diffractive dijet production in impact parameter dependent saturation models journal, August 2019

Operator expansion for high-energy scattering journal, March 1996

High gluon densities in heavy ion collisions journal, February 2017

Color glass condensate at next-to-leading order meets HERA data journal, October 2020

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

Next-to-leading order Balitsky-Kovchegov equation beyond large N c journal, October 2020

Linearly polarized gluon distributions in the color dipole model journal, February 2012

Green’s function in the color field of a large nucleus journal, August 1994

CGC predictions for p+Pb collisions at the LHC journal, January 2013

TMD gluon distributions at small x in the CGC theory
journal, May 2018

Quark contribution to the small- $x$ evolution of color dipole
journal, January 2007

Inclusive prompt photon production in electron-nucleus scattering at small x
journal, May 2018

Semi-inclusive deep inelastic scattering at small-x
journal, November 2009

Systematics of strong nuclear amplification of gluon saturation from exclusive vector meson production in high energy electron–nucleus collisions
journal, June 2018

Semihard processes in QCD
journal, November 1983

The Color Glass Condensate
journal, November 2010

The electron–ion collider: assessing the energy dependence of key measurements
journal, January 2019

Jet azimuthal correlations and parton saturation in the color glass condensate
journal, February 2005

Cronin effect and high- $p_{T}$ suppression in pA collisions
journal, November 2003

Relations between generalized and transverse momentum dependent parton distributions
journal, August 2007

Inclusive prompt photon-jet correlations as a probe of gluon saturation in electron-nucleus scattering at small x
journal, January 2021

Gauge-Invariant Decomposition of Nucleon Spin
journal, January 1997

Distribution of Linearly Polarized Gluons and Elliptic Azimuthal Anisotropy in Deep Inelastic Scattering Dijet Production at High Energy
journal, December 2015

Diffractive dijet production and Wigner distributions from the color glass condensate
journal, April 2019

Color charge correlations in the proton at NLO: Beyond geometry based intuition
journal, September 2021

Next-to-leading order Balitsky-Kovchegov equation with resummation
journal, May 2016

QCD saturation at the LHC: Comparisons of models to p+p and A+A data and predictions for p+Pb collisions
journal, March 2012

Renormalization group evolution of multi-gluon correlators in high energy QCD
journal, December 2011

Distribution of linearly polarized gluons inside a large nucleus
journal, September 2011

Fock space distributions, structure functions, higher twists, and small x
journal, March 1999

Forward dihadron correlations in deuteron–gold collisions with a Gaussian approximation of JIMWLK
journal, June 2013

Saturation and universality in QCD at small x
journal, June 2001

Multigluon Correlations and Evidence of Saturation from Dijet Measurements at an Electron-Ion Collider
journal, March 2020

Azimuthal Correlations of Forward Dihadrons in $d + Au$ Collisions at RHIC in the Color Glass Condensate
journal, October 2010

Transverse momentum dependence in gluon distribution and fragmentation functions
journal, April 2001

The one loop gluon emission light cone wave function
journal, April 2017

One-loop corrections to light cone wave functions: The dipole picture DIS cross section
journal, June 2018

Gluon TMD in particle production from low to moderate x
journal, June 2016

Linearly polarized gluons and axial charge fluctuations in the glasma
journal, February 2018

Nonlinear gluon evolution in the color glass condensate: II
journal, May 2002

Accessing the gluonic structure of light nuclei at a future electron-ion collider
journal, January 2020

Dihadron momentum imbalance and correlations in $d + Au$ collisions
journal, March 2012

Nonforward parton distributions
journal, November 1997

The renormalization group equation for the color glass condensate
journal, June 2001

Mining for Gluon Saturation at Colliders
journal, August 2021

Gauge invariance of transverse momentum dependent distributions at small $x$
journal, May 2021

Saturation and forward jets in proton-lead collisions at the LHC
journal, December 2019

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

Evidence of Strong Proton Shape Fluctuations from Incoherent Diffraction
journal, July 2016

Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
journal, December 2016

Sub-femtometer scale color charge fluctuations in a proton made of three quarks and a gluon
journal, February 2021

Anisotropy in Dijet Production in Exclusive and Inclusive Processes
journal, April 2021

Next-to-leading order evolution of color dipoles
journal, January 2008

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

Polarized 3 parton production in inclusive DIS at small x
journal, October 2016

KaTie: For parton-level event generation with $k_{T}$ -dependent initial states
journal, March 2018

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

From deep inelastic scattering to proton-nucleus collisions in the color glass condensate model
journal, April 2003

Parton distribution and decay functions
journal, January 1982

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

Low x physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
journal, October 2019

Transverse momentum dependent gluon distribution within high energy factorization at next-to-leading order
journal, September 2021

$J / Ψ$ production in ultraperipheral Pb+Pb and $p$ +Pb collisions at energies available at the CERN Large Hadron Collider
journal, March 2013

Impact-parameter dependent color glass condensate dipole model and new combined HERA data
journal, October 2013

Probing subnucleon scale fluctuations in ultraperipheral heavy ion collisions
journal, September 2017

Towards a complete next-to-logarithmic description of forward exclusive diffractive dijet electroproduction at HERA: Real corrections
journal, October 2019

Forward $J / ψ$ production at high energy: Centrality dependence and mean transverse momentum
journal, October 2016

Confronting the impact parameter dependent JIMWLK evolution with HERA data
journal, August 2018

Dipole factorization for DIS at NLO: Combining the $q \bar{q}$ and $q \bar{q} g$ contributions
journal, October 2017

Isolated photon production in proton-nucleus collisions at forward rapidity
journal, March 2018

Intrinsic glue distribution at very small $x$
journal, May 1997

JIMWLK evolution in the Gaussian approximation
journal, April 2012

Measuring the Weizsäcker-Williams distribution of linearly polarized gluons at an electron-ion collider through dijet azimuthal asymmetries
journal, January 2019

Transverse momentum imbalance of back-to-back particle production in $p + A$ and $e + A$ collisions
journal, November 2012

Gluon saturation and initial conditions for relativistic heavy ion collisions
journal, May 2014

Forward dihadron back-to-back correlations in $p A$ collisions
journal, January 2019

Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
journal, September 2015

Diffractive dijet production in impact parameter dependent saturation models
journal, August 2019

Operator expansion for high-energy scattering
journal, March 1996

High gluon densities in heavy ion collisions
journal, February 2017

Color glass condensate at next-to-leading order meets HERA data
journal, October 2020

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

Next-to-leading order Balitsky-Kovchegov equation beyond large $N_{c}$
journal, October 2020

Linearly polarized gluon distributions in the color dipole model
journal, February 2012

Green’s function in the color field of a large nucleus
journal, August 1994

CGC predictions for p+Pb collisions at the LHC
journal, January 2013

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

Event engineering studies for heavy flavor production and hadronization in high multiplicity hadron-hadron and hadron-nucleus collisions
journal, October 2018

Nonlinear evolution in high-density QCD
journal, May 2002