Back-to-back inclusive dijets in DIS at small x: Complete NLO results and predictions
arxiv(2023)
Abstract
We compute the back-to-back dijet cross-section in deep inelastic scattering
(DIS) at small x to next-to-leading order (NLO) in the Color Glass Condensate
effective field theory. Our result can be factorized into a convolution of the
Weizsäcker-Williams gluon transverse momentum dependent distribution
function (WW gluon TMD) with a universal soft factor and an NLO coefficient
function. The soft factor includes both double and single logarithms in the
ratio of the relative transverse momentum P_⊥ of the dijet pair to the
dijet momentum imbalance q_⊥; its renormalization group (RG) evolution is
resummed into the Sudakov factor. Likewise, the WW TMD obeys a nonlinear RG
equation in x that is kinematically constrained to satisfy both lifetime and
rapidity ordering of the projectile. Exact analytical expressions are obtained
for the NLO coefficient function of transversely and longitudinally polarized
photons. Our results allow for the first quantitative separation of the
dynamics of Sudakov suppression from that of gluon saturation. They can be
extended to other final states and provide a framework for precision tests of
novel QCD many-body dynamics at the Electron-Ion Collider.
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