Abstract

Diffractive dijet production at the electron-ion collider (EIC) has been proposed to study the gluon Wigner distribution at small-x. We investigate the soft gluon radiation associated with the final state jets and an all order resummation formula is derived. We show that the soft gluon resummation plays an important role to describe E791 data on π-induced diffractive dijet production at Fermilab. Predictions for the EIC are presented, and we emphasize that the soft gluon resummation is an important aspect to explore the nucleon/nucleus tomography through these processes.

Highlights

  • There have been renewed interests in hard diffractive dijet production in e + p and e + A collisions, which was one of the focuses of previous theoretical studies decades ago [1,2,3,4,5,6,7,8,9]

  • We have demonstrated that the soft factor from all order resummation plays an important role to describe the total transverse momentum distribution for the π-induced diffractive dijet production from E791 collaboration

  • Similar effects have been found for the diffractive dijet production in e + p collisions at the future electron-ion colliders (EIC)

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Summary

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QCD Resummation in Hard Diffractive Dijet Production at the Electron-Ion Collider. Diffractive dijet production at the electron-ion collider (EIC) has been proposed to study the gluon Wigner distribution at small-x. We investigate the soft gluon radiation associated with the final state jets and an all order resummation formula is derived. We show that the soft gluon resummation plays an important role to describe E791 data on π-induced diffractive dijet production at Fermilab. Predictions for the EIC are presented, and we emphasize that the soft gluon resummation is an important aspect to explore the nucleon/nucleus tomography through these processes

Introduction
Test of the resummation Formula in Pion Induced
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