Abstract
In this paper we consider a small-$x$ model for gluon GTMDs that we fit to data on diffractive dijet production in electron-proton collisions obtained by HERA's H1 Collaboration. Assuming a small number of free parameters, each with a physical motivation, we are able to describe those data fairly well and with this model we obtain predictions for the EIC for both electroproduction and photoproduction which may allow to further test the underlying GTMD description. In the general discussion of the impact parameter dependence we recall some subtle issues related to localization of states, choice of frames, and discuss what these aspects imply for the range of applicability of the model.
Highlights
Generalized transverse momentum dependent parton distributions (GTMDs) and the associated Wigner parton distributions were first considered in [1,2] and analyzed further in, e.g., [3,4,5,6] for quarks and in [6,7] for gluons
For gluon GTMDs the models are so-far based on the small-x McLerranVenugopalan (MV) model [15,16,17] and related color glass condensate (CGC) descriptions
We will take the MV model as our starting point, but introduce a few free parameters to be fitted to H1 data from the HERA collider in order to arrive at predictions for the U.S.-based ElectronIon Collider (EIC) that hopefully will allow to further test the underlying GTMD description
Summary
Generalized transverse momentum dependent parton distributions (GTMDs) and the associated Wigner parton distributions were first considered in [1,2] and analyzed further in, e.g., [3,4,5,6] for quarks and in [6,7] for gluons. In the present paper we follow up on these ideas and construct a model for the unpolarized gluon GTMD similar to the one put forward in [8]. We will take the MV model as our starting point, but introduce a few free parameters to be fitted to H1 data from the HERA collider in order to arrive at predictions for the U.S.-based ElectronIon Collider (EIC) that hopefully will allow to further test the underlying GTMD description. As a first step it would be important to check whether the GTMD description of diffractive dijet production is consistent with cross section measurements in various kinematic variables and various kinematic regions.
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