Intrinsic asymmetries in semi-inclusive deeply inelastic scattering at the Electron-Ion Collider

TL;DR

This paper calculates semi-inclusive neutral current deep inelastic scattering processes at the Electron-Ion Collider, revealing intrinsic asymmetries related to quark transverse momentum distributions and electroweak interactions.

Contribution

It introduces a detailed twist-3 level calculation of asymmetries in neutral current DIS, connecting them to transverse momentum dependent parton distributions and electroweak couplings.

Findings

Intrinsic asymmetries can be expressed via TMD PDFs and electroweak couplings.

Calculations provide new observables for analyzing parton distributions.

Results help understand weak and strong interactions in DIS.

Abstract

We calculate the neutral current jet production semi-inclusive deeply inelastic scattering process in this paper. Neutral current implies that interactions can be mediated by the photon, $Z^0$-boson and their interference. The initial electron is assumed to be polarized and then scattered off by a target particle with spin-1/2. Calculations are carried out up to twist-3 level in the quantum chromodynamics parton model by applying the collinear expansion formalism where multiple gluon scattering is taken into account and gauge links are obtained automatically. After obtaining the differential cross section, we introduce the definition of the intrinsic asymmetry. This quantity reveals the asymmetry in the distribution of the quark intrinsic transverse momentum. We find that these asymmetries can be expressed in terms of the transverse momentum dependent parton distribution functions and the electroweak couplings. As a result, our calculations provide a set of new quantities for analyzing the parton distribution functions and the electroweak couplings. It is helpful to understand the hadronic weak interactions and strong interactions in the deeply inelastic scattering process simultaneously.