Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate

Caucal, Paul; Salazar, Farid; Venugopalan, Raju

doi:10.1007/jhep11(2021)222

Title: Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate

Abstract

In this work, we compute the next-to-leading order impact factor for inclusive dijet production in deeply inelastic electron-nucleus scattering at small x_Bj. Our computation, performed in the framework of the Color Glass Condensate effective field theory, includes all real and virtual contributions in the gluon shock wave background of all-twist lightlike Wilson line correlators. We demonstrate explicitly that the rapidity evolution of these correlators, to leading logarithmic accuracy, is described by the JIMWLK Hamiltonian. When combined with the next-to-leading order JIMWLK Hamiltonian, our results for the impact factor improve the accuracy of the inclusive dijet cross-section to $ \mathcal{O} $($ {\alpha}_s^2 $ln(x_f /x_Bj)), where x_f is a rapidity factorization scale. These results are an essential ingredient in assessing the discovery potential of inclusive dijets to uncover the physics of gluon saturation at the Electron-Ion Collider.

Authors:

Caucal, Paul ^[1];

^[2]; Venugopalan, Raju ^[1]

Brookhaven National Lab. (BNL), Upton, NY (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States); Stony Brook Univ., NY (United States). Center for Frontiers in Nuclear Science

Publication Date:: Mon Nov 29 00:00:00 EST 2021

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

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

OSTI Identifier:: 1832773

Report Number(s):: BNL-222438-2021-JAAM
Journal ID: ISSN 1029-8479; TRN: US2216766

Grant/Contract Number:: SC0012704

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: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Deep inelastic scattering (phenomenology); NLO computations

Citation Formats


                    Caucal, Paul, Salazar, Farid, and Venugopalan, Raju. Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate.  United States: N. p., 2021. 
Web.  doi:10.1007/jhep11(2021)222.

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                    Caucal, Paul, Salazar, Farid, & Venugopalan, Raju. Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate.  United States.  https://doi.org/10.1007/jhep11(2021)222

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                    Caucal, Paul, Salazar, Farid, and Venugopalan, Raju. Mon .  
"Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate".  United States.  https://doi.org/10.1007/jhep11(2021)222.  https://www.osti.gov/servlets/purl/1832773.

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@article{osti_1832773,

  title        = {Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate},

  author       = {Caucal, Paul and Salazar, Farid and Venugopalan, Raju},

  abstractNote = {In this work, we compute the next-to-leading order impact factor for inclusive dijet production in deeply inelastic electron-nucleus scattering at small xBj. Our computation, performed in the framework of the Color Glass Condensate effective field theory, includes all real and virtual contributions in the gluon shock wave background of all-twist lightlike Wilson line correlators. We demonstrate explicitly that the rapidity evolution of these correlators, to leading logarithmic accuracy, is described by the JIMWLK Hamiltonian. When combined with the next-to-leading order JIMWLK Hamiltonian, our results for the impact factor improve the accuracy of the inclusive dijet cross-section to \( \mathcal{O} \)(\( {\alpha}_s^2 \)ln(xf /xBj)), where xf is a rapidity factorization scale. These results are an essential ingredient in assessing the discovery potential of inclusive dijets to uncover the physics of gluon saturation at the Electron-Ion Collider.},

  doi          = {10.1007/jhep11(2021)222},

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

  number       = 11,

  volume       = 2021,

  place        = {United States},

  year         = {Mon Nov 29 00:00:00 EST 2021},

  month        = {Mon Nov 29 00:00:00 EST 2021}

}

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

Boussarie, R.; Grabovsky, A. V.; Ivanov, D. Yu.
Physical Review Letters, Vol. 119, Issue 7
DOI: 10.1103/PhysRevLett.119.072002

Quantum Chromodynamics at High Energy
book, September 2012

Kovchegov, Yuri V.; Levin, Eugene
Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology
DOI: 10.1017/CBO9781139022187

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Title: Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate

Abstract

Citation Formats

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Spinor helicity methods in high-energy factorization: Efficient momentum-space calculations in the Color Glass Condensate formalism journal, July 2017

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High-energy evolution to three loops journal, February 2018

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

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

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

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

One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model journal, November 1979

Azimuthal angular asymmetry of soft gluon radiation in jet production journal, September 2021

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

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order journal, December 2016

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

Calculation of jet cross sections in hadron collisions at order α s 3 journal, July 1992

Mining for Gluon Saturation at Colliders journal, August 2021

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

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

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

Relating different approaches to nonlinear QCD evolution at finite gluon density journal, October 2000

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

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

Quantum Field Theory book, January 2019

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

Color glass condensate formalism, Balitsky-JIMWLK evolution, and Lipatov’s high energy effective action journal, June 2018

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

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

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

HERA collider physics journal, October 1999

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Odderon in the color glass condensate journal, October 2005

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

Extracting many-body correlators of saturated gluons with precision from inclusive photon + dijet final states in deeply inelastic scattering journal, April 2020

Photon production in high energy proton-nucleus collisions journal, July 2002

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

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

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

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

Inclusive hadron productions in p A collisions journal, September 2012

The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider journal, September 2021

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

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

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

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

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Operator expansion for high-energy scattering journal, March 1996

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Nonlinear evolution in high-density QCD journal, May 2002

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Collinearly-improved BK evolution meets the HERA data journal, November 2015

Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider journal, May 2021

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

Sudakov double logarithms resummation in hard processes in the small- x saturation formalism journal, December 2013

Low-x improved TMD approach to the lepto- and hadroproduction of a heavy-quark pair journal, June 2021

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

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC journal, May 2017

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

Spinor helicity methods in high-energy factorization: Efficient momentum-space calculations in the Color Glass Condensate formalism
journal, July 2017

Soft fragmentation on the celestial sphere
journal, June 2020

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

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

Gluon propagation inside a high-energy nucleus
journal, February 2006

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

Semihard processes in QCD
journal, November 1983

The Color Glass Condensate
journal, November 2010

Broadening and saturation effects in dijet azimuthal correlations in p-p and p-Pb collisions at $\sqrt{s_{N N}} = 5.02 TeV$
journal, August 2019

High-energy evolution to three loops
journal, February 2018

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

Threshold resummation for hadron production in the small- $x$ region
journal, September 2020

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

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

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

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

Exclusive heavy vector meson production at next-to-leading order in the dipole picture
journal, December 2021

Deep inelastic scattering in the dipole picture at next-to-leading order
journal, November 2017

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

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

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

One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model
journal, November 1979

Azimuthal angular asymmetry of soft gluon radiation in jet production
journal, September 2021

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

CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
journal, December 2016

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

Calculation of jet cross sections in hadron collisions at order $α_{s}^{3}$
journal, July 1992

Mining for Gluon Saturation at Colliders
journal, August 2021

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

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

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

Relating different approaches to nonlinear QCD evolution at finite gluon density
journal, October 2000

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

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

Quantum Field Theory
book, January 2019

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

Color glass condensate formalism, Balitsky-JIMWLK evolution, and Lipatov’s high energy effective action
journal, June 2018

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

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

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

HERA collider physics
journal, October 1999

Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections
journal, March 2021

Odderon in the color glass condensate
journal, October 2005

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

Extracting many-body correlators of saturated gluons with precision from inclusive $photon + dijet$ final states in deeply inelastic scattering
journal, April 2020

Photon production in high energy proton-nucleus collisions
journal, July 2002

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

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

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

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

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

The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
journal, September 2021

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

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

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

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

Massive quarks in NLO dipole factorization for DIS: Longitudinal photon
journal, September 2021

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

Towards the Test of Saturation Physics Beyond Leading Logarithm
journal, January 2014

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

A general algorithm for calculating jet cross sections in NLO QCD
journal, February 1997

Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
journal, September 2021

Nonlinear evolution in high-density QCD
journal, May 2002

NLO JIMWLK evolution unabridged
journal, August 2014

Collinearly-improved BK evolution meets the HERA data
journal, November 2015

Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
journal, May 2021

Universality of unintegrated gluon distributions at small $x$
journal, May 2011

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

Sudakov double logarithms resummation in hard processes in the small- $x$ saturation formalism
journal, December 2013

Low-x improved TMD approach to the lepto- and hadroproduction of a heavy-quark pair
journal, June 2021

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

Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
journal, May 2017

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

Probing gluon saturation through dihadron correlations at an electron-ion collider
journal, April 2014

Comparison of improved TMD and CGC frameworks in forward quark dijet production
journal, December 2020