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The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
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The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
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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 $\boldsymbol{P}_\perp$ and momentum imbalance $\boldsymbol{k}_\perp$ of the dijet system for different photon virtualities $Q^2$, and study the elliptic and quadrangular anisotropies in the relative angle between $\boldsymbol{P}_\perp$ and $\boldsymbol{k}_\perp$. 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 Weizs\"ackerWilliams 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.
Forward citations
Cited by 6 Pith papers
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Forward trijet production in proton-nucleus collisions: gluon initiated channel
The gluon-initiated trijet channel in forward pA collisions is calculated at leading order in CGC, revealing a four-gluon vertex structure matching instantaneous terms and showing how rapidity and collinear divergence...
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Forward trijet production in proton-nucleus collisions: gluon initiated channel
Analytical CGC amplitudes and cross sections for forward g o q¯qg and g o ggg trijet production in pA collisions are obtained, with rapidity and collinear divergences shown to match JIMWLK and DGLAP evolution.
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From target to projectile: CSS evolution of quark TMD in different light-cone gauges
One-loop quark TMD calculation in projectile light-cone gauge produces CSS evolution equations whose rapidity structure is compared to the target gauge result.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
For the dipole gluon TMD, the Sudakov-limited maximum phase-space density of h_1^{⊥g} is 2 n_g^{max} ∼ 2 α_s^{-3/2} in the saturation region.
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Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions
Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.
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