Back-to-back inclusive dijets in DIS at small x: Sudakov suppression and gluon saturation at NLO

Back-to-back dijet cross-sections in deeply inelastic scattering (DIS) at small $x_{\rm Bj}$ are suppressed by many-body multiple and screening effects arising from gluon saturation high parton densities. They similarly sensitive these kinematics to large Sudakov logarithms soft radiation. Uncovering novel physics this DIS channel therefore requires understanding the interplay of two phenomena. In work, we compute inclusive cross-section back-to-back next-to-leading order (NLO) Color Glass Condensate effective field theory (CGC EFT). Our result includes, for first time, all real virtual NLO contributions impact factor. These include double single logarithm contributions, as well other finite $\mathcal{O}(\alpha_s)$ terms that contribute order. We demonstrate explicitly resummations $x$ can be performed simultaneously CGC EFT. This JIMWLK kernel evolution Weizs\"{a}cker-Williams (WW) distribution satisfies a kinematic constraint imposed lifetime ordering successive emissions; corresponding modifications kernel, transverse logarithms, precisely type required stabilize beyond leading logarithmic accuracy. azimuthal harmonics distributions show their sensitivity both unpolarized linearly polarized WW distributions. Finally, discuss how TMD factorization is broken an emergent scale $x$.