Advancing the precision frontier for gluon saturation: one-loop contributions to dijet production in proton-nucleus collisions in the Color Glass Condensate.

Quantum Chromodynamics (QCD) is the theory describing quarks and gluons and their interactions. These particles, commonly referred to as partons, are the building blocks of nuclear matter. Experiments suggest that the number of partons proliferates very rapidly when the collision energy increases; however, it is expected that this growth must be slowed down leading to the phenomenon of gluon saturation. The Color Glass Condensate (CGC) is an effective theory for this saturated regime of nuclear matter. Azimuthal correlations in dijet/dihadron production in proton-nucleus collisions present a promising avenue to test the saturation framework. In this talk, I will present progress in the computation of this observable at next-to-leading-order, focusing on the real corrections for the gluon-initiated channel and involving the production of three partons in the final state. I use effective vertices for the quark and gluon propagation in the CGC classical background gluon field. The resulting cross-section is expressed as a convolution of a non-perturbative color factor and a perturbative impact factor. These corrections, along with future calculations of virtual gluon emission diagrams, will be a key ingredient for future precision searches for gluon saturation at collider experiments.