Inclusive prompt photon-jet correlations as a probe of gluon saturation in electron-nucleus scattering at small $x$

Abstract

We compute the differential cross-section for inclusive prompt photon$+$quark production in deeply inelastic scattering of electrons off nuclei at small $x$ ($e+A$ DIS) in the framework of the Color Glass Condensate effective field theory. The result is expressed as a convolution of the leading order (in the strong coupling ${\alpha }_{\mathrm{s}}$) impact factor for the process and universal dipole matrix elements, in the limit of hard photon transverse momentum relative to the nuclear saturation scale $Q_{s,A}(x)$. We perform a numerical study of this process for the kinematics of the Electron-Ion Collider (EIC), exploring in particular the azimuthal angle correlations between the final state photon and quark. We observe a systematic suppression and broadening pattern of the back-to-back peak in the relative azimuthal angle distribution, as the saturation scale is increased by replacing proton targets with gold nuclei. Our results suggest that photon+jet final states in inclusive $e+A$ DIS at high energies are in general a promising channel for exploring gluon saturation that is complementary to inclusive and diffractive dijet production. They also provide a sensitive empirical test of the universality of dipole matrix elements when compared to identical measurements in proton-nucleus collisions. However because photon+jet correlations at small $x$ in EIC kinematics require jet reconstruction at small $k_{\perp }$, it will be important to study their feasibility relative to photon-hadron correlations.

arXiv comment41 pages, 7 figures

References in corpus (90)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Color Glass Condensate
• Green's Functions in the Color Field of a Large Nucleus
• The BFKL Equation from the Wilson Renormalization Group
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Unitarization of the BFKL Pomeron on a Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Unitarity at small Bjorken x
• Universality of Unintegrated Gluon Distributions at small x
• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• Fock Space Distributions, Structure Functions, Higher Twists and Small x
• AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
• High energy pA collisions in the color glass condensate approach II. Quark production
• Single inclusive particle production at high energy from HERA data to proton-nucleus collisions
• Forward inclusive dijet production and azimuthal correlations in pA collisions
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Resumming double logarithms in the QCD evolution of color dipoles
• Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate
• kt-factorization for Hard Processes in Nuclei
• The Color Glass Condensate and High Energy Scattering in QCD
• Sudakov Double Logarithms Resummation in Hard Processes in Small-x Saturation Formalism
• On the linearly polarized gluon distributions in the color dipole model
• Improved TMD factorization for forward dijet production in dilute-dense hadronic collisions
• Rapidity evolution of Wilson lines at the next-to-leading order
• Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order
• Photon production in high energy proton-nucleus collisions
• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Forward dihadron correlations in deuteron-gold collisions with a Gaussian approximation of JIMWLK
• Next-to-leading order Balitsky-Kovchegov equation with resummation
• The distribution of linearly polarized gluons and elliptic azimuthal anisotropy in DIS dijet production at high energy
• Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
• Sudakov Resummation in Small-x Saturation Formalism
• Non-linear evolution in QCD at high-energy beyond leading order
• Color Glass Condensate at next-to-leading order meets HERA data
• CGC predictions for p+A collisions at the LHC and signature of QCD saturation
• Nonlinear evolution in high-density QCD
• Particle production in field theories coupled to strong external sources I. Formalism and main results
• Back-to-Back Correlations of Di-hadrons in dAu Collisions at RHIC
• Jet Azimuthal Correlations and Parton Saturation in the Color Glass Condensate
• Prompt photon production and photon-hadron correlations at RHIC and the LHC from the Color Glass Condensate
• High Gluon Densities in Heavy Ions Collisions
• High energy scattering in Quantum Chromodynamics
• Probing Gluon Saturation through Dihadron Correlations at an Electron-Ion Collider
• Lepton Pair Production Through Two Photon Process in Heavy Ion Collisions
• Measuring the Weizsaecker-Williams distribution of linearly polarized gluons at an EIC through dijet azimuthal asymmetries
• Multi-gluon correlations and evidence of saturation from dijet measurements at an Electron Ion Collider
• Universality of multi-particle production in QCD at high energies
• Particle production in field theories coupled to strong external sources. II: Generating functions
• Saturation and shadowing in high-energy proton-nucleus dilepton production
• Probing gluon saturation with next-to-leading order photon production at central rapidities in proton-nucleus collisions
• Parton model description of multiparticle azimuthal correlations in $pA$ collisions
• Forward di-hadron back-to-back correlations in $\mathbf{pA}$ collisions from rcBK evolution
• On the Dihadron Angular Correlations in Forward $pA$ collisions
• Gluon splitting in a shockwave
• Polarized 3 parton production in inclusive DIS at small x
• Semi-inclusive photon-hadron production in pp and pA collisions at RHIC and LHC
• Production of Forward Rapidity Photons in High Energy Heavy Ion Collisions
• Constraining unintegrated gluon distributions from inclusive photon production in proton-proton collisions at the LHC
• Saturation effects in forward-forward dijet production in p+Pb collisions
• Inclusive prompt photon production in electron-nucleus scattering at small x
• Hadrons and direct photon in pp and pA collisions at LHC and saturation effects
• Geometrical Scaling of Direct-Photon Production in Hadron Collisions from RHIC to the LHC
• Photon $+$ Hadron Production in High Energy Deuteron (Proton)-Nucleus Collisions
• Isolated photon production in proton-nucleus collisions at forward rapidity
• Extracting many-body correlators of saturated gluons with precision from inclusive photon+dijet final states in deeply inelastic scattering
• Comparison of improved TMD and CGC frameworks in forward quark dijet production
• Ballistic protons in incoherent exclusive vector meson production as a measure of rare parton fluctuations at an Electron-Ion Collider
• Measuring the Photon Fragmentation Function at HERA
• Photon from the annihilation process with CGC in the $pA$ collision
• Isolated Photons in Deep Inelastic Scattering
• TMD factorization for dijets + photon production from the dilute-dense CGC framework
• Photon Plus Jet Cross Sections in Deep Inelastic ep Collisions at Order O(alpha^2 alpha_s)
• Prompt photon - jet angular correlations at central rapidities in p+A collisions
• Photon-jet ridge at RHIC and the LHC
• Isolated photon production and pion-photon correlations in high-energy $pp$ and $pA$ collisions
• Multipole scattering amplitudes in the Color Glass Condensate formalism
• Saturation physics and angular correlations at RHIC and LHC
• General formulae for dipole Wilson line correlators with the Color Glass Condensate
• Prompt photon production in high-energy $pA$ collisions at forward rapidity
• Photon-Jet cross sections in Deep-Inelastic Scattering
• Signature of gluon saturation in forward di-hadron correlations at the Large Hadron Collider
• Photon-jet correlations in Deep-Inelastic Scattering

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• Mining for Gluon Saturation at Colliders
• The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
• Nucleon Energy Correlators for the Color Glass Condensate
• Revisiting transverse momentum broadening in dense QCD media
• Exclusive J/Psi and Psi(2s) photo-production as a probe of QCD low x evolution equations
• One-Loop Corrections to Dihadron Production in DIS at Small $x$
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• Isolated photon-hadron production in high energy $pp$ and $pA$ collisions at RHIC and LHC
• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Nuclear matter effects on jet production at electron-ion colliders
• Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons
• Saturation effects in SIDIS at very forward rapidities
• Probing gluon number density with electron-dijet correlations at EIC
• Electroproduction of heavy quarkonia: significance of dipole orientation
• TMD parton showers for associated $\gamma$+jet production in electron-proton collisions at high energies
• Probing cold nuclear matter with energy correlators
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider