One-Loop Corrections to Dihadron Production in DIS at Small $x$

Abstract

We calculate the one-loop corrections to dihadron production in Deep Inelastic Scattering (DIS) at small x using the Color Glass Condensate formalism. We show that all UV and soft singularities cancel while the collinear divergences are absorbed into quark and anti quark-hadron fragmentation functions. Rapidity divergences lead to JIMWLK evolution of dipoles and quadrupoles describing multiple-scatterings of the quark anti-quark dipole on the target proton/nucleus. The resulting cross section is finite and can be used for phenomenological studies of dihadron angular correlations at small x in a future Electron-Ion Collider (EIC).

arXiv comment28 pages, 3 figures

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• Nucleon Energy Correlators for the Color Glass Condensate
• DIS dijet production at next-to-eikonal accuracy in the CGC
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• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
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• Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons
• Diffractive single hadron production in a saturation framework at the NLO
• Forward Inclusive Jet Productions in pA Collisions
• Incoherent diffractive dijet production in electron DIS off nuclei at high energy
• Isolated photon production in $pp$ collisions at forward rapidities and high multiplicity events