Charged current semi-inclusive deeply inelastic scattering at the Electron-Ion Collider

TL;DR

This paper provides a comprehensive leading-order twist-3 calculation of charged current semi-inclusive deep inelastic scattering at the Electron-Ion Collider, including structure functions, azimuthal asymmetries, and charge asymmetries.

Contribution

It introduces a systematic twist-3 level calculation for charged current SIDIS with polarized spin-1 targets, incorporating gauge links and azimuthal asymmetries.

Findings

Derived the general differential cross section in terms of structure functions.

Expressed structure functions using gauge invariant parton distribution functions.

Calculated azimuthal and charge asymmetries in the scattering process.

Abstract

We present a systematic calculation of the charged current semi-inclusive deeply inelastic scattering process at leading order twist-3 level in the parton model. We consider the general form of the negatively charged beam scattering off the polarized target which has spin-1. The calculations are carried out by applying the collinear expansion where multiple gluon scattering is taken into account and gauge links are obtained automatically. We first present the general form of the differential cross section in terms of the structure functions by kinematic analysis and then present the structure functions in terms of the the gauge invariant parton distribution functions up to twist-3 level. Considering the angle modulations and polarizations of the cross section, we calculate the complete azimuthal asymmetries in the charged current semi-inclusive deeply inelastic scattering process. The charge asymmetries are also considered in this paper with the introduction of the definitions of the $plus$ and $minus$ cross sections.