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Gluon Saturation and Sudakov Resummation at NLO

29 Mar 2023, 09:20
20m
Centennial Room ABC (MSU Kellogg Center)

Centennial Room ABC

MSU Kellogg Center

Parallel talk WG2: Small-x, Diffraction and Vector Mesons WG2

Speaker

Farid Salazar (UCLA/UCB/LBNL)

Description

The potential discovery of gluon saturation is one of the chief goals of the future Electron-Ion Collider (EIC) program. The Color Glass Condensate (CGC) is an effective field theory (EFT) to characterize this novel regime of nuclear matter. In recent years, tremendous efforts have been carried out to promote the theory and phenomenology of the CGC EFT to higher precision.

We contribute to these efforts by pursuing a comprehensive analysis of deep inelastic scattering at next-to-leading-order (NLO) within the CGC EFT. We begin by studying the one-loop corrections to this process in general small-𝑥 kinematics. We show that the differential cross-section is infrared and collinear safe, and that the rapidity factorization follows the JIMWLK renormalization group equations. By subtracting the large rapidity logarithms, we isolate and provide explicit expressions for the NLO impact factor [1].

We then specialize in back-to-back kinematics in the transverse plane 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 Nc. We show that consistent rapidity and Sudakov resummation can be achieved provided that the rapidity evolution of the WW distribution is amended by a kinematic constraint that imposes lifetime ordering of successive gluon emissions. After subtracting both rapidity and Sudakov logarithms, we obtain the “genuinely” O(alpha_s) one-loop contributions to back-to-back dijets, which allows studying, for the first time, azimuthal correlations within saturation physics at full NLO accuracy [2].

We will provide preliminary numerical results for azimuthal dijet correlations at the EIC at full NLO [3].

[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 (accepted to JHEP)
[3] P. Caucal, F. Salazar, T. Stebel, B. Schenke and R. Venugopalan (work in progress).

Submitted on behalf of a Collaboration? No

Primary authors

Dr Paul Caucal (Brookhaven National Laboratory) Raju Venugopalan Bjoern Schenke (Brookhaven National Lab) Tomasz Stebel (Institute of Theoretical Physics Jagiellonian University) Farid Salazar (UCLA/UCB/LBNL)

Presentation materials