Multi-gluon correlations and evidence of saturation from dijet measurements at an Electron Ion Collider

Heikki Mäntysaari; Niklas Mueller; Farid Salazar; Björn Schenke

Paper

Multi-gluon correlations and evidence of saturation from dijet measurements at an Electron Ion Collider

Abstract

We study inclusive and diffractive dijet production in electron-proton and electron-nucleus collisions within the Color Glass Condensate effective field theory. We compute dijet cross sections differentially in both mean dijet transverse momentum

and recoil momentum

, as well as the anisotropy in the relative angle between

and

. We use the nonlinear Gaussian approximation to compute multiparticle correlators for general small

kinematics, employing running coupling Balitsky-Kovchegov evolution to determine the dipole amplitude at small

. Our results cover a much larger kinematic range than accessible in previous computations performed in the correlation limit approximation, where it is assumed that

. We validate this approximation in its range of applicability and quantify its failure for

. We also predict significant target-dependent deviations from the correlation limit approximation for

and

, which offers a straightforward test of gluon saturation and access to multi-gluon distributions at a future electron ion collider.