One-loop corrections to dihadron production in DIS at small <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:math>

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 antiquark-hadron fragmentation functions. Rapidity divergences lead to Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov and Kovner evolution of dipoles and quadrupoles describing multiple scatterings of the quark antiquark 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.

Topics & Concepts