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 ${\mathbf{P}}_{\perp }$ and momentum imbalance ${\mathbf{k}}_{\perp }$ of the dijet system for different photon virtualities $Q^2$, and study the elliptic and quadrangular anisotropies in the relative angle between ${\mathbf{P}}_{\perp }$ and ${\mathbf{k}}_{\perp }$. 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 $k_{\perp }$ over the hard scale $Q_{\perp }$. By comparing ITMD and CGC results we are able to isolate genuine higher saturation contributions in the ratio $Q_s/Q_{\perp }$ which are resummed only in the CGC. These saturation contributions are in addition to those in the WeizsäckerWilliams gluon TMD that appear in powers of $Q_s/k_{\perp }$. 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.

v3: typos corrected post-publication. v2: 52 pages, 13 figures, matches published version

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Cited by in corpus (10)

• Nucleon Energy Correlators for the Color Glass Condensate
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• 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
• Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics
• Forward Inclusive Jet Productions in pA Collisions
• The suppressions of dijet azimuthal correlations in the future EIC
• Higher twists effects in DIS on nuclei at the EIC and LHeC: A phenomenological analysis
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit