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Back-to-back inclusive dijets in DIS at small x: Sudakov suppression and gluon saturation at NLO

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arxiv 2208.13872 v2 pith:IURG4PWN submitted 2022-08-29 hep-ph hep-thnucl-th

Back-to-back inclusive dijets in DIS at small x: Sudakov suppression and gluon saturation at NLO

classification hep-ph hep-thnucl-th
keywords gluonsmallback-to-backsudakovlogarithmssaturationcomputecontributions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Back-to-back dijet cross-sections in deeply inelastic scattering (DIS) at small $x_{\rm Bj}$ are suppressed by many-body multiple scattering and screening effects arising from gluon saturation at high parton densities. They are similarly sensitive in these kinematics to large Sudakov logarithms from soft gluon radiation. Uncovering novel physics in this DIS channel therefore requires understanding the interplay of the two phenomena. In this work, we compute the small $x_{\rm Bj}$ inclusive dijet DIS cross-section in back-to-back kinematics at next-to-leading order (NLO) in the Color Glass Condensate effective field theory (CGC EFT). Our result includes, for the first time, all real and virtual NLO contributions to the impact factor. These include all Sudakov double and single logarithm contributions, as well as all other finite $\mathcal{O}(\alpha_s)$ terms that contribute at this order. We demonstrate explicitly that resummations of small $x$ and Sudakov logarithms can be performed simultaneously in the CGC EFT. This requires that the JIMWLK kernel for small $x$ evolution of the Weizs\"{a}cker-Williams (WW) gluon distribution satisfies a kinematic constraint imposed by lifetime ordering of successive gluon emissions; the corresponding modifications to the kernel, corresponding to resummations of large double transverse logarithms, are precisely of the type required to stabilize JIMWLK evolution beyond leading logarithmic accuracy. We compute the azimuthal harmonics of the NLO back-to-back distributions and show their sensitivity to both the unpolarized and linearly polarized WW gluon distributions. Finally, we discuss how TMD factorization is broken by an emergent saturation scale at small $x$.

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Forward citations

Cited by 9 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. Multiplicity-dependent forward jet production in proton-nucleus collisions

    hep-ph 2026-06 unverdicted novelty 6.0

    New CGC+SCET factorization framework for multiplicity-dependent single-inclusive forward jets in pA collisions that preserves the inclusive limit and identifies saturation effects on internal jet evolution.

  8. Multiplicity-dependent forward jet production in proton-nucleus collisions

    hep-ph 2026-06 unverdicted novelty 6.0

    CGC plus SCET semi-inclusive jet functions yield a multiplicity-conditioned forward-jet factorization that reduces exactly to the known inclusive CGC jet cross section.

  9. 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.