Abstract
The production of a hard dijet with small transverse momentum imbalance in semi-inclusive DIS probes the conventional and linearly polarized Weizsaecker-Williams (WW) Transverse Momentum Dependent (TMD) gluon distributions. The latter, in particular, gives rise to an azimuthal dependence of the dijet cross-section. In this paper we analyze the feasibility of a measurement of these TMDs through dijet production in DIS on a nucleus at an Electron-Ion Collider. We introduce the MCDijet Monte-Carlo generator to sample quark-antiquark dijet configurations based on leading order parton level cross-sections with WW gluon distributions that solve the non-linear small-x QCD evolution equations. These configurations are fragmented to hadrons using PYTHIA, and final state jets are reconstructed. We report on background studies and on the effect of kinematic cuts introduced to remove beam jet remnants. We estimate that with an integrated luminosity of 20 fb^{-1}/A one can determine the distribution of linearly polarized gluons with a statistical accuracy of approximately 5%.
Highlights
Building an electron-ion collider (EIC) is one of the key projects of the nuclear physics community in the U.S The main purpose of an EIC is to study the gluon fields of QCD and provide insight into the regime of nonlinear color field dynamics [1,2]
In this paper we focus on the small-x regime of strong color fields in hadrons and nuclei [4]
We are interested, in particular, in the conventional and linearly polarized Weizsäcker-Williams (WW) gluon distributions at small x [5,6]. These distributions arise in transverse momentum dependent (TMD) factorization [7,8,9]. (For a recent review of TMD gluon distributions at small x see Ref. [10].) Our main goal is to conduct a first assessment of the feasibility of a measurement of these gluon distributions at an EIC through the dijet production process
Summary
Building an electron-ion collider (EIC) is one of the key projects of the nuclear physics community in the U.S The main purpose of an EIC is to study the gluon fields of QCD and provide insight into the regime of nonlinear color field dynamics [1,2]. The WW TMD gluon distributions, and in particular the distribution of linearly polarized gluons, appears in a variety of processes This includes production of a dijet or heavy quark pair in hadronic collisions [11,12,13] or DIS at moderate [14,15,16,17,18] or high energies [5,6,19] where the dependence on the dijet imbalance is explicitly present. As explained, the distribution of linearly polarized gluons cannot be accessed with quasireal photons This underscores the importance of conducting the dijet measurements at an EIC
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