Transverse momentum dependent distributions in dijet and heavy hadron pair production at EIC

Back-to-back dijet cross-sections in deeply inelastic scattering (DIS) at small xBj 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 xBj 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 $$ \mathcal{O} $$ O (αs) 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 Weizsäcker-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 logarithmicaccuracy. 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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“…An analogous observation was made in[124] within the TMD factorization formalism when supplemented by angular dependent soft functions.…”

supporting

confidence: 67%

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

Caucal

Salazar

Schenke

et al. 2022

J. High Energ. Phys.

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“…The inclusive dijet electroproduction process has been studied within TMD factorization in refs. [121,122].…”

Section: Discussionmentioning

confidence: 99%

Dijet photoproduction at low x at next-to-leading order and its back-to-back limit

Taels

Altinoluk

Beuf

et al. 2022

J. High Energ. Phys.

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We compute the cross section for the inclusive photoproduction of a pair of jets at next-to-leading order accuracy in the Color Glass Condensate (CGC) effective theory. The aim is to study the back-to-back limit, to investigate whether transverse momentum dependent (TMD) factorization can be recovered at this perturbative order. In particular, we focus on large Sudakov double logarithms, which are dominant terms in the TMD evolution kernel. Interestingly, the kinematical improvement of the low-x resummation scheme turns out to play a crucial role in our analysis.

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“…After taking into account QCD evolution, this azimuthal integral is divergent in some phase space regions. In order to regularize such divergences, different schemes have been proposed in [57,73,75]. In this paper we consider QCD resummation of large logarithms of azimuthal angle and jet radius at the NLL accuracy.…”

Section: Factorization and Resummation For Final-state Radiationsmentioning

confidence: 99%

Azimuthal decorrelation for photon induced dijet production in ultra-peripheral collisions of heavy ions

Zhang

Dai

Shao

2023

J. High Energ. Phys.

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We study the azimuthal angular decorrelation of the dijet production via photon fusion in ultra-peripheral heavy ion collisions. The impact parameter dependent cross section of quark-antiquark pairs production is derived using the equivalent photon approximation, and the contribution from final-state QCD radiations to the azimuthal angular distribution are calculated within Soft-Collinear Effective Theory. We carry out the QCD resummation of large logarithms of the azimuthal angle as well as the jet radius at next-to-leading logarithmic accuracy. In the end we present the normalized differential cross section for azimuthal decorrelation of the dijet pair and find that our results are consistent with the measurements reported by the ATLAS collaboration.

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Transverse momentum dependent distributions in dijet and heavy hadron pair production at EIC

Cited by 17 publications

References 57 publications

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

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

Dijet photoproduction at low x at next-to-leading order and its back-to-back limit

Azimuthal decorrelation for photon induced dijet production in ultra-peripheral collisions of heavy ions

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