Abstract
We present a systematic calculation of the current jet production semi-inclusive deeply inelastic scattering process at the Electron-Ion Collider energy. Contributions from weak interactions are considered which give rise to parity violating effects. We consider the general form of the polarized electron beam scattering off the polarized target which has spin 1. The calculations are carried out up to twist-3 level in the quantum chromodynamics parton model by applying the collinear expansion where multiple gluon scattering is taken into account and gauge links are obtained automatically. We present complete results for structure functions and spin/azimuthal asymmetries in terms of the gauge invariant transverse momentum dependent parton distribution functions. Both the unpolarized and the polarized electron beam cases correspond to 24 azimuthal asymmetries, in which 6 of them appear at the leading twist, while 18 of them contribute at twist-3 level. In addition we also calculate the parity-violating asymmetries which arise from the interference of the electromagnetic and weak interactions.
Highlights
Thanks to the asymptotic freedom of the strong interaction, many high-energy reactions can be studied within the formalism of quantum chromodynamics (QCD) factorization theorems [1], which separate the calculable hard parts from the nonperturbative soft parts in the cross sections
We present a complete and systematic calculation of the parity-violating current jet production semi-inclusive deeply inelastic scattering (SIDIS) process at the electron-ion collider (EIC)
We presented the general form of the differential cross section of this process in terms of structure functions by making full kinematical analysis
Summary
Thanks to the asymptotic freedom of the strong interaction, many high-energy reactions can be studied within the formalism of quantum chromodynamics (QCD) factorization theorems [1], which separate the calculable hard parts from the nonperturbative soft parts in the cross sections. These soft parts often involve parton distribution functions (PDFs) and fragmentation functions (FFs). Systematic researches about structure functions and spin/azimuthal asymmetries are still lacking This includes a full kinematic analysis for the cross section, 2470-0010=2020=101(9)=096017(17).
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