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arXiv · 2001.00765

Photoproduction of three jets in the CGC: gluon TMDs and dilute limit

Tolga Altinoluk·Renaud Boussarie·Cyrille Marquet·Pieter Taels
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Abstract

We study the process $\gamma A \to q \bar{q} g+X$ in the Color Glass Condensate (CGC) effective theory. After obtaining the cross section, we consider two kinematic limits which are encompassed in our result. In the so-called correlation limit, the vector sum of the transverse momenta of the three outgoing particles is small with respect to the individual transverse momenta; the cross section then simplifies considerably and can be written in a factorized form, sensitive to both the unpolarized and linearly-polarized Weizs\"acker-Williams transverse momentum dependent gluon distribution function (gluon TMD). The second limit of the CGC cross section that we consider is the dilute limit, which we obtain after performing a weak-field expansion; we recover a typical linear-regime expression, involving a single unintegrated gluon distribution function. Using numerical simulations of the small-$x$ QCD evolution of the TMDs, we investigate the rapidity dependence of the cross section in the correlation limit.

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Tolga Altinoluk, Renaud Boussarie, Cyrille Marquet, Pieter Taels. 2020-01-03. Photoproduction of three jets in the CGC: gluon TMDs and dilute limit. https://doi.org/10.1007/jhep07(2020)143

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