Threshold resummation for hadron production in the small-
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 region

We compute the next-to-leading order impact factor for inclusive dijet production in deeply inelastic electron-nucleus scattering at small xBj. Our computation, performed in the framework of the Color Glass Condensate effective field theory, includes all real and virtual contributions in the gluon shock wave background of all-twist lightlike Wilson line correlators. We demonstrate explicitly that the rapidity evolution of these correlators, to leading logarithmic accuracy, is described by the JIMWLK Hamiltonian. When combined with the next-to-leading order JIMWLK Hamiltonian, our results for the impact factor improve the accuracy of the inclusive dijet cross-section to $$ \mathcal{O} $$ O ($$ {\alpha}_s^2 $$ α s 2 ln(xf/xBj)), where xf is a rapidity factorization scale. These results are an essential ingredient in assessing the discovery potential of inclusive dijets to uncover the physics of gluon saturation at the Electron-Ion Collider.

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“…We refer the reader to[36,[69][70][71] for discussions of the choice of the evolution rapidity variable Y in NLO calculations.…”

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confidence: 99%

Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate

Caucal

Salazar

Venugopalan

2021

J. High Energ. Phys.

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“…In this setup, the dilute projectile is treated in the collinear framework while the dense target is treated within the standard CGC. During the last decade, a vast amount of effort has been devoted to the theoretical computations of the next-to-leading order (NLO) corrections in strong coupling constant [11][12][13][14][15][16][17][18][19][20][21][22] and its numerical applications [23,24] in forward hadron production. Moreover, within a hybrid set up, forward heavy quark production [25,26], forward multijet production [27,28] and its relation to the transverse momentum dependent distributions [29][30][31][32][33][34] are also studied .…”

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confidence: 99%

Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering

Altinoluk,

Beuf,

Czajka

et al. 2020

Preprint

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We derive Next-to-Eikonal (NEik) corrections to the background quark propagator, which stem from (i) considering a finite longitudinal width target instead of an infinitely thin shockwave and (ii) including the interaction of the quark with the transverse components of the background field. These two different corrections to the eikonal approximation combine together and provides a gauge covariant expression for the quark propagator at NEik accuracy. We then apply our results to quark (or antiquark) scattering on a nucleus at NEik accuracy, considering both unpolarized cross section and helicity asymmetry.

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“…NLO accuracy calculations of scattering processes are becoming available, with the longitudinal NLO DIS cross section for massive quarks being available [121], and the calculation of the transverse case is ongoing. Other processes are advancing to NLO as well: the single inclusive hadron production [113,114,120,[148][149][150][151][152][153][154][155][156], exclusive light [157] and heavy vector meson production [119], dijets in pA collisions [158] and dijets in DIS [159,160]. Improvements to the description of the scattering process off the color-field are being studied as well.…”

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confidence: 99%