Extracting many-body correlators of saturated gluons with precision from inclusive photon + dijet final states in deeply inelastic scattering

Roy, Kaushik; Venugopalan, Raju

doi:10.1103/PhysRevD.101.071505

Title: Extracting many-body correlators of saturated gluons with precision from inclusive $photon + dijet$ final states in deeply inelastic scattering

Abstract

We highlight the principal results of a computation [1] in the Color Glass Condensate effective field theory (CGC EFT) of the next-to-leading order (NLO) impact factor for inclusive photon+dijet production at Bjorken 1 in deeply inelastic electron-nucleus (e+A DIS) collisions. When combined with extant results for next-to-leading log xBj JIMWLK renormalization group (RG) evolution of gauge invariant two-point ("dipole") and four-point ("quadrupole") correlators of lightlike Wilson lines, the inclusive photon+dijet e+A DIS cross-section can be determined to ~ 10% accuracy. Our computation simultaneously provides the ingredients to compute fully inclusive DIS, inclusive photon, inclusive dijet and inclusive photon+jet channels to the same accuracy. This makes feasible quantitative extraction of many-body correlators of saturated gluons and precise determination of the saturation scale QS,A(xBj) at a future Electron-Ion Collider. An interesting feature of our NLO result is the structure of the violation of the soft gluon theorem in the Regge limit. Another is the appearance in gluon emission of time-like non-global logs which also satisfy JIMWLK RG evolution

Authors:

; Venugopalan, Raju

Publication Date:: Wed Apr 29 00:00:00 EDT 2020

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

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

OSTI Identifier:: 1616501

Alternate Identifier(s):: OSTI ID: 1631011

Report Number(s):: BNL-215953-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 071505

Grant/Contract Number:: SC0012704

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 101 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Roy, Kaushik, and Venugopalan, Raju. Extracting many-body correlators of saturated gluons with precision from inclusive photon + dijet final states in deeply inelastic scattering.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.101.071505.

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                    Roy, Kaushik, & Venugopalan, Raju. Extracting many-body correlators of saturated gluons with precision from inclusive photon + dijet final states in deeply inelastic scattering.  United States.  https://doi.org/10.1103/PhysRevD.101.071505

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                    Roy, Kaushik, and Venugopalan, Raju. Wed .  
"Extracting many-body correlators of saturated gluons with precision from inclusive photon + dijet final states in deeply inelastic scattering".  United States.  https://doi.org/10.1103/PhysRevD.101.071505.

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@article{osti_1616501,

  title        = {Extracting many-body correlators of saturated gluons with precision from inclusive photon + dijet final states in deeply inelastic scattering},

  author       = {Roy, Kaushik and Venugopalan, Raju},

  abstractNote = {We highlight the principal results of a computation [1] in the Color Glass Condensate effective field theory (CGC EFT) of the next-to-leading order (NLO) impact factor for inclusive photon+dijet production at Bjorken 1 in deeply inelastic electron-nucleus (e+A DIS) collisions. When combined with extant results for next-to-leading log xBj JIMWLK renormalization group (RG) evolution of gauge invariant two-point ("dipole") and four-point ("quadrupole") correlators of lightlike Wilson lines, the inclusive photon+dijet e+A DIS cross-section can be determined to ~ 10% accuracy. Our computation simultaneously provides the ingredients to compute fully inclusive DIS, inclusive photon, inclusive dijet and inclusive photon+jet channels to the same accuracy. This makes feasible quantitative extraction of many-body correlators of saturated gluons and precise determination of the saturation scale QS,A(xBj) at a future Electron-Ion Collider. An interesting feature of our NLO result is the structure of the violation of the soft gluon theorem in the Regge limit. Another is the appearance in gluon emission of time-like non-global logs which also satisfy JIMWLK RG evolution},

  doi          = {10.1103/PhysRevD.101.071505},

  journal      = {Physical Review. D.},

  number       = 7,

  volume       = 101,

  place        = {United States},

  year         = {Wed Apr 29 00:00:00 EDT 2020},

  month        = {Wed Apr 29 00:00:00 EDT 2020}

}

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FIG. 1: A representative LO diagram. The cross-hatched open blobs represent the dressed quark propagator in A⁻= 0 gauge. See text for details.

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Title: Extracting many-body correlators of saturated gluons with precision from inclusive photon + dijet final states in deeply inelastic scattering

Abstract

Citation Formats

Figures / Tables:

High energy QCD at NLO: from light-cone wave function to JIMWLK evolution journal, May 2017

On the small-x evolution of the color quadrupole and the Weizsäcker–Williams gluon distribution journal, November 2011

Comprehensive Description of J / ψ Production in Proton-Proton Collisions at Collider Energies journal, November 2014

BFKL dynamics in jet evolution journal, November 2003

Next-to-leading order corrections for the dipole factorization of deep inelastic scattering structure functions at low x journal, February 2012

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

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

Random walks of partons in S U ( N c ) and classical representations of color charges in QCD at small x journal, November 2004

Inclusive hadron productions in p A collisions journal, September 2012

Constraining unintegrated gluon distributions from inclusive photon production in proton–proton collisions at the LHC journal, April 2019

( γ * → q q ¯ ) -Reggeon vertex in next-to-leading order QCD journal, February 2001

Relating e + e − annihilation to high energy scattering at weak and strong coupling journal, November 2008

Non-global jet evolution at finite Nc journal, May 2004

Semihard processes in QCD journal, November 1983

The Color Glass Condensate journal, November 2010

When does the gluon reggeize? journal, May 2015

Triumvirate of running couplings in small-x evolution journal, March 2007

NLO corrections to the photon impact factor: Combining real and virtual corrections journal, November 2002

Operator expansion for high-energy scattering journal, March 1996

High gluon densities in heavy ion collisions journal, February 2017

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

Probing gluon saturation with next-to-leading order photon production at central rapidities in proton-nucleus collisions journal, January 2017

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

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

Away-from-jet energy flow journal, August 2002

Nonlinear evolution in high-density QCD journal, May 2002

Photon impact factor and k T factorization for DIS in the next-to-leading order journal, January 2013

Quarkonium production in high energy proton-nucleus collisions: CGC meets NRQCD journal, January 2014

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

Color Memory: A Yang-Mills Analog of Gravitational Wave Memory journal, December 2017

General formulae for dipole Wilson line correlators with the Color Glass Condensate journal, November 2017

Gluon propagator in non-Abelian Weizsäcker-Williams fields journal, September 1995

Pomeron with a running coupling constant in the nucleus journal, May 2007

One-Loop Factorization for Inclusive Hadron Production in p − A Collisions in the Saturation Formalism journal, March 2012

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

Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering journal, April 2008

NLO impact factor for inclusive photon + dijet production in e + A DIS at small x journal, February 2020

The process γ L * + q → ( q q ¯ g ) + q : Real corrections to the virtual photon impact factor journal, November 2001

Nuclear Enhancement of Universal Dynamics of High Parton Densities journal, January 2008

Soft gluons away from jets: distribution and correlation journal, June 2009

Quantum Chromodynamics at High Energy book, September 2012

Single inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism journal, May 2015

Rapidity evolution of Wilson lines at the next-to-leading order journal, December 2013

2D Kac-Moody symmetry of 4D Yang-Mills theory journal, October 2016

Photon impact factor in the next-to-leading order journal, February 2011

On the one loop γ ∗ → q q ¯ $$ {\gamma}^{\left(\ast \right)}\to q\overline{q} $$ impact factor and the exclusive diffractive cross sections for the production of two or three jets journal, November 2016

Back-to-back correlations of di-hadrons in dAu collisions at RHIC journal, October 2012

Gluon recombination and shadowing at small values of x journal, May 1986

Photon from the annihilation process with CGC in the pA collision journal, February 2017

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

Impact factor for high-energy two and three jets diffractive production journal, September 2014

Wilson renormalization group for low x physics: Gluon evolution at finite parton density journal, November 1998

Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order journal, March 2014

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

Dipole factorization for DIS at NLO: Loop correction to the γ T , L * → q q ¯ light-front wave functions journal, September 2016

Non-linear evolution in QCD at high-energy beyond leading order journal, April 2019

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all journal, September 2016

The next-to-leading order forward jet vertex in the small-cone approximation journal, May 2012

Quantum corrections to the Weizsäcker-Williams gluon distribution function at small x journal, January 1996

Erratum: ( γ * → q q ¯ ) -Reggeon vertex in next-to-leading order QCD [Phys. Rev. D 63 , 056014 (2001)] journal, March 2002

The asymptotic form of non-global logarithms, black disc saturation, and gluonic deserts journal, January 2017

Next-to-Leading Order Computation of Exclusive Diffractive Light Vector Meson Production in a Saturation Framework journal, August 2017

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

Measuring color memory in a color glass condensate at electron–ion colliders journal, August 2019

Title: Extracting many-body correlators of saturated gluons with precision from inclusive $photon + dijet$ final states in deeply inelastic scattering

High energy QCD at NLO: from light-cone wave function to JIMWLK evolution
journal, May 2017

On the small-x evolution of the color quadrupole and the Weizsäcker–Williams gluon distribution
journal, November 2011

Comprehensive Description of $J / ψ$ Production in Proton-Proton Collisions at Collider Energies
journal, November 2014

BFKL dynamics in jet evolution
journal, November 2003

Next-to-leading order corrections for the dipole factorization of deep inelastic scattering structure functions at low $x$
journal, February 2012

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

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

Random walks of partons in $S U (N_{c})$ and classical representations of color charges in QCD at small $x$
journal, November 2004

Inclusive hadron productions in $p A$ collisions
journal, September 2012

Constraining unintegrated gluon distributions from inclusive photon production in proton–proton collisions at the LHC
journal, April 2019

$(γ^{*} \to q \bar{q})$ -Reggeon vertex in next-to-leading order QCD
journal, February 2001

Relating e ⁺ e ⁻ annihilation to high energy scattering at weak and strong coupling
journal, November 2008

Non-global jet evolution at finite Nc
journal, May 2004

Semihard processes in QCD
journal, November 1983

The Color Glass Condensate
journal, November 2010

When does the gluon reggeize?
journal, May 2015

Triumvirate of running couplings in small-x evolution
journal, March 2007

NLO corrections to the photon impact factor: Combining real and virtual corrections
journal, November 2002

Operator expansion for high-energy scattering
journal, March 1996

High gluon densities in heavy ion collisions
journal, February 2017

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

Probing gluon saturation with next-to-leading order photon production at central rapidities in proton-nucleus collisions
journal, January 2017

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

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

Away-from-jet energy flow
journal, August 2002

Nonlinear evolution in high-density QCD
journal, May 2002

Photon impact factor and $k_{T}$ factorization for DIS in the next-to-leading order
journal, January 2013

Quarkonium production in high energy proton-nucleus collisions: CGC meets NRQCD
journal, January 2014

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

Color Memory: A Yang-Mills Analog of Gravitational Wave Memory
journal, December 2017

General formulae for dipole Wilson line correlators with the Color Glass Condensate
journal, November 2017

Gluon propagator in non-Abelian Weizsäcker-Williams fields
journal, September 1995

Pomeron with a running coupling constant in the nucleus
journal, May 2007

One-Loop Factorization for Inclusive Hadron Production in $p − A$ Collisions in the Saturation Formalism
journal, March 2012

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

Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
journal, April 2008

NLO impact factor for inclusive $photon + dijet$ production in $e + A$ DIS at small $x$
journal, February 2020

The process $γ_{L}^{*} + q \to (q \bar{q} g) + q :$ Real corrections to the virtual photon impact factor
journal, November 2001

Nuclear Enhancement of Universal Dynamics of High Parton Densities
journal, January 2008

Soft gluons away from jets: distribution and correlation
journal, June 2009

Quantum Chromodynamics at High Energy
book, September 2012

Single inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism
journal, May 2015

Rapidity evolution of Wilson lines at the next-to-leading order
journal, December 2013

2D Kac-Moody symmetry of 4D Yang-Mills theory
journal, October 2016

Photon impact factor in the next-to-leading order
journal, February 2011

On the one loop γ ∗ → q q ¯ $$ {\gamma}^{\left(\ast \right)}\to q\overline{q} $$ impact factor and the exclusive diffractive cross sections for the production of two or three jets
journal, November 2016

Back-to-back correlations of di-hadrons in dAu collisions at RHIC
journal, October 2012

Gluon recombination and shadowing at small values of x
journal, May 1986

Photon from the annihilation process with CGC in the pA collision
journal, February 2017

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

Impact factor for high-energy two and three jets diffractive production
journal, September 2014

Wilson renormalization group for low x physics: Gluon evolution at finite parton density
journal, November 1998

Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order
journal, March 2014

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

Dipole factorization for DIS at NLO: Loop correction to the $γ_{T, L}^{*} \to q \bar{q}$ light-front wave functions
journal, September 2016

Non-linear evolution in QCD at high-energy beyond leading order
journal, April 2019

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016

The next-to-leading order forward jet vertex in the small-cone approximation
journal, May 2012

Quantum corrections to the Weizsäcker-Williams gluon distribution function at small x
journal, January 1996

Erratum: $(γ^{*} \to q \bar{q})$ -Reggeon vertex in next-to-leading order QCD [Phys. Rev. D 63 , 056014 (2001)]
journal, March 2002

The asymptotic form of non-global logarithms, black disc saturation, and gluonic deserts
journal, January 2017

Next-to-Leading Order Computation of Exclusive Diffractive Light Vector Meson Production in a Saturation Framework
journal, August 2017

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

Measuring color memory in a color glass condensate at electron–ion colliders
journal, August 2019