Abstract

Quark-antiquark pair (or dijet) production at the electron-ion collider (EIC) has been argued to be one of most important processes that allowing to access the Weizs\"acker-Williams (WW) gluon distributions at small $x$ limit. Within the framework of Color Glass Condensate (CGC) effective field theory (EFT), we calculated the dijet cross sections and the azimuthal correlations by including the Sudakov resummations, numerical results shown that the back-to-back correlations are significantly suppressed when the Sudakov resummations are taken into account. In addition, by using the solutions of running-coupling Balitsky-Kovchegov (rcBK) equation, the unpolarized and linearly polarized WW gluon distributions both in coordinate and momentum space are presented.

Highlights

  • Exploring the multidimensional structure and detailed dynamics of a hadron has been one of the primary goals of hadronic physics

  • According to Eqs. (16) and (17), the quark-antiquark pair cross section is directly related to unpolarized and linearly polarized WW gluon distributions, as mentioned in previous, the two gluon distributions associated with their evolutions can be obtained by using the solutions of the running-coupling BalitskyKovchegov (rcBK) equation

  • We mainly focus on quarkantiquark production in the γÃpðAÞ scattering processes, and show that the cross sections and their azimuthal correlations are strongly affected by parton shower and gluon saturation effects

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Summary

INTRODUCTION

Exploring the multidimensional structure and detailed dynamics of a hadron has been one of the primary goals of hadronic physics. Prior works have shown that this process can be consistently described in the framework of color glass condensate (CGC) theory, and that the relevant two WW gluon distributions can be expressed in terms of Wilson line correlators, which allows them to be calculated using solutions of the Jalilian-Marian–Iancu–McLerran–Weigert–Leonidov– Kovner (JIMWLK) equation [21,22,23,24] This limitation places a strong restriction on the dijets in that it requires the transverse momentum imbalance q⊥ to be much smaller than the relative transverse momentum P⊥; in this case, there is another class of effects—known as Sudakov resummations —that can give sizable contributions to the cross section, and this should be taken into account when exploring the behaviors of the two gluon distributions in the considered process.

DIS DIJET PRODUCTION IN COLOR GLASS CONDENSATE FORMALISM
GENERAL PROPERTIES OF WW GLUON DISTRIBUTIONS IN THE MCLERRANVENUGOPALAN MODEL
Unpolarized and linearly polarized WW gluon distributions in coordinate space
Unpolarized and linearly polarized WW gluon distributions in momentum space
NUMERICAL RESULTS AND DISCUSSIONS
Azimuthal correlations of dijets
Sudakov factor suppresses the azimuthal correlations
Gluon saturation further suppresses the azimuthal correlations of the dijets
SUMMARY
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