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Back-to-back inclusive dijets in DIS at small x: Complete NLO results and predictions

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arxiv 2308.00022 v2 pith:OIQXVCOS submitted 2023-07-31 hep-ph nucl-th

Back-to-back inclusive dijets in DIS at small x: Complete NLO results and predictions

classification hep-ph nucl-th
keywords dijetfactorfunctiongluonmomentumback-to-backcoefficientdynamics
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the back-to-back dijet cross-section in deep inelastic scattering (DIS) at small $x$ to next-to-leading order (NLO) in the Color Glass Condensate effective field theory. Our result can be factorized into a convolution of the Weizs\"{a}cker-Williams gluon transverse momentum dependent distribution function (WW gluon TMD) with a universal soft factor and an NLO coefficient function. The soft factor includes both double and single logarithms in the ratio of the relative transverse momentum $P_\perp$ of the dijet pair to the dijet momentum imbalance $q_\perp$; its renormalization group (RG) evolution is resummed into the Sudakov factor. Likewise, the WW TMD obeys a nonlinear RG equation in $x$ that is kinematically constrained to satisfy both lifetime and rapidity ordering of the projectile. Exact analytical expressions are obtained for the NLO coefficient function of transversely and longitudinally polarized photons. Our results allow for the first quantitative separation of the dynamics of Sudakov suppression from that of gluon saturation. They can be extended to other final states and provide a framework for precision tests of novel QCD many-body dynamics at the Electron-Ion Collider.

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Forward citations

Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Sub-eikonal stress and model dependence of the small-$x$ gluon D-term

    hep-ph 2026-07 unverdicted novelty 7.0

    The gluon D-term at small x is a next-to-eikonal stress observable whose sign is not determined by the dipole or saturation profile.

  2. TMD factorization in diffractive heavy-quark production in photon-nucleus collisions

    hep-ph 2026-06 unverdicted novelty 7.0

    TMD factorization holds for diffractive massive quark-antiquark-gluon production in the correlation limit, with a new mass-dependent quark diffractive TMD in the antiquark-gluon hard pair case.

  3. Matching collinear factorization with color-glass condensate for inclusive and exclusive deep inelastic scattering

    hep-ph 2026-05 accept novelty 7.0

    Collinear factorization amplitudes exactly reproduce the large-Q² expansion of CGC amplitudes for inclusive DIS, DVCS, and DVMP at the amplitude level.

  4. Forward trijet production in proton-nucleus collisions: gluon initiated channel

    hep-ph 2026-04 unverdicted novelty 7.0

    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...

  5. Forward trijet production in proton-nucleus collisions: gluon initiated channel

    hep-ph 2026-04 accept novelty 6.5

    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.

  6. Sub-eikonal stress and model dependence of the small-$x$ gluon D-term

    hep-ph 2026-07 conditional novelty 6.0

    The small-x gluon D-term is a next-to-eikonal stress probe and is not fixed by the leading-eikonal dipole or saturation profile alone.

  7. Azimuthal decorrelation in diffractive dijet production

    hep-ph 2026-06 unverdicted novelty 6.0

    All-order resummation of soft gluons for transverse energy-energy correlators in diffractive dijet production demonstrates sensitivity of acoplanarity to diffractive TMDs.

  8. Confronting Color Glass Condensate at next-to-leading order with HERA data

    hep-ph 2026-04 unverdicted novelty 6.0

    A Bayesian global fit at full NLO+NLL accuracy extracts the posterior distribution for the non-perturbative initial condition of the NLO Balitsky-Kovchegov equation from HERA inclusive and charm data.

  9. From target to projectile: CSS evolution of quark TMD in different light-cone gauges

    hep-ph 2026-06 unverdicted novelty 5.0

    One-loop quark TMD calculation in projectile light-cone gauge produces CSS evolution equations whose rapidity structure is compared to the target gauge result.

  10. Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions

    hep-ph 2026-05 unverdicted novelty 5.0

    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.

  11. Quantum entanglement in electron-nucleus collisions: Role of the linearly polarized gluon distribution

    hep-ph 2026-04 unverdicted novelty 4.0

    The linearly polarized gluon distribution enhances entanglement of heavy quark pairs in electron-nucleus collisions when total and relative transverse momenta are orthogonal.