Transverse momentum dependent distributions in dijet and heavy hadron pair production at EIC

TL;DR

This paper explores the measurement and theoretical understanding of gluon transverse momentum distributions in dijet and heavy hadron pair production at the EIC, including factorization, soft factors, and phenomenological predictions.

Contribution

It introduces a new soft factor matrix element and discusses a scale prescription for the evolution kernel, advancing the theoretical framework for TMD measurements at EIC.

Findings

Phenomenological predictions for unpolarized cross-sections

Analysis of angular modulations in dijet production

Treatment of complex anomalous dimensions in TMD factorization

Abstract

We discuss the measurement of gluon transverse momentum distribution (TMD) in dijet and heavy hadron pair (HHP) production in semi-inclusive deep inelastic scattering. The factorization of these processes in impact parameter space shows the appearance of a specific new soft factor matrix element on top of angular a complex valued anomalous dimensions. We show in detail how these features can be treated consistently and we discuss a scale prescription for the evolution kernel of the dijet soft function. As a result we obtain phenomenological predictions for unpolarized and angular modulated cross-sections for the electron-ion collider (EIC) using current available information on unpolarized TMD.