TMD gluon distributions for multiparton processes

Abstract

We derive gauge invariant operators entering definitions of the Transverse Momentum Dependent (TMD) gluon distributions, for all five and six parton processes. Our calculations utilize color decomposition of amplitudes in the color flow basis. In addition, we find the general result for multi-gluon process (with arbitrary number of gluons) at large $N_c$. On phenomenological ground our results may be used for multi-jet production in the small-$x$ regime, where the TMD gluon distributions can be derived from the Color Glass Condensate effective theory.

arXiv comment46 pages, numerical factors corrected. Conclusions unchanged

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• Forward trijet production in p-p and p-Pb collisions at LHC
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit
• NNLO classical solution for Lipatov's effective action for reggeized gluons