November 28, 2022 to December 2, 2022
IJCLab Orsay
Europe/Paris timezone

Sudakov suppression and gluon saturation at NLO

Nov 28, 2022, 5:00 PM
Salle des Conseils (Building 100)

Salle des Conseils

Building 100

IJCLab Orsay
WG7: Parton tomography from 1D to 5D Parallel C - WG7: 2


Paul Caucal (Subatech)


We study inclusive dijet production in deep inelastic scattering at NLO within the Color Glass Condensate effective field theory. We begin by studying this process in general small-$x$ kinematics. We first show that the differential cross-section is infrared and collinear safe. We demonstrate the factorization of large rapidity logarithms that can then be resummed via JIMWLK renormalization, and we extract the NLO impact factor for which we provide explicit expressions.

We then specialize in the transverse back-to-back kinematics where this process is sensitive to unpolarized and linearly polarized parts of the Weizsäcker-Williams (WW) gluon distribution. We isolate in the impact factor the large Sudakov double and single logarithms at finite $N_c$. We show that small-$x$ and Sudakov resummation can be performed simultaneously provided that the small-$x$ evolution of the WW distribution, formulated in terms of the projectile rapidity, is amended by a kinematic constraint that imposes lifetime ordering of successive gluon emissions. We also comment on non-logarithmically enhanced terms in the impact factor that can break TMD factorization at NLO in the saturation regime.

[1] P. Caucal, F. Salazar and R. Venugopalan, JHEP 2021 (11), 1-108 18,2021
[2] P. Caucal, F. Salazar, B. Schenke and R. Venugopalan, arXiv:2208.13872

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Primary authors

Paul Caucal (Subatech) Farid Salazar (UCLA/UCB/LBNL) Bjoern Schenke (Brookhaven National Lab) Raju Venugopalan

Presentation materials