The search for gluon saturation is one of the main pillars for the scientific program of the future Electron-Ion Collider (EIC). In recent years, significant progress has been made in advancing saturation physics to a precision science as we prepare for the EIC era. We contribute to these efforts by performing the first complete next-to-leading order (NLO) computation of inclusive dijet production in deeply inelastic electron-nucleus scattering at small-x within the Color Glass Condensate (CGC).
In this talk, I will introduce the basic elements of this computation by briefly reviewing the leading order result. Next, I will detail the main steps for calculating the one-loop contributions. I will highlight three aspects of our computation: the cancellation of ultra-violet divergences, the JIMWLK factorization of the rapidity logarithms, and the cancellation of infrared and collinear singularities within the small-cone approximation. These steps enable us to isolate the so-called NLO impact factor, a necessary result to obtain reliable theoretical predictions for the EIC. I will discuss the applicability of our results in the back-to-back regime and the emergence of Sudakov logarithms. I will conclude by outlining extensions of our work for other processes at the EIC.
P. Caucal, FS, R. Venugopalan. Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate. arXiv:2108.06347 [hep-ph]. JHEP 11 (2021) 222
P. Caucal, FS, B. Schenke, R. Venugopalan. Back-to-back dijet production in DIS at next-to-leading order in the Color Glass Condensate. (In progress)