Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate

• Published in: The journal of high energy physics Vol. 2021; no. 11; pp. 1 - 108
• Main Authors: Caucal, Paul, Salazar, Farid, Venugopalan, Raju
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2021; Springer Nature B.V; Springer Nature; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Color; Condensates; Correlators; Deep inelastic scattering (phenomenology); Elementary Particles; Field theory; Gluons; High energy physics; Impact factors; Inelastic scattering; NLO Computations; NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Shock waves; String Theory; NLO Computations; Deep Inelastic Scattering (Phenomenology)
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2021)222

A bstract We compute the next-to-leading order impact factor for inclusive dijet production in deeply inelastic electron-nucleus scattering at small x Bj . Our computation, performed in the framework of the Color Glass Condensate effective field theory, includes all real and virtual contributions in the gluon shock wave background of all-twist lightlike Wilson line correlators. We demonstrate explicitly that the rapidity evolution of these correlators, to leading logarithmic accuracy, is described by the JIMWLK Hamiltonian. When combined with the next-to-leading order JIMWLK Hamiltonian, our results for the impact factor improve the accuracy of the inclusive dijet cross-section to O ( α s 2 ln( x f /x Bj )), where x f is a rapidity factorization scale. These results are an essential ingredient in assessing the discovery potential of inclusive dijets to uncover the physics of gluon saturation at the Electron-Ion Collider.