Neutral-current weak interactions at an EIC

A simulation study of measurements of neutral current structure functions of the nucleon at the future high-energy and high-luminosity polarized electron-ion collider (EIC) is presented. A new series of γ-Z interference structure functions, F1γZ, F3γZ, g1γZ, g5γZ become accessible via parity-violating asymmetries in polarized electron-nucleon deep inelastic scattering (DIS). Within the context of the quark-parton model, they provide a unique and, in some cases, yet-unmeasured combination of unpolarized and polarized parton distribution functions. The uncertainty projections for these structure functions using electron-proton collisions are considered for various EIC beam energy configurations. Also presented are uncertainty projections for measurements of the weak mixing angle sin ²θ_W using electron-deuteron collisions which cover a much higher Q² than that accessible in fixed target measurements. QED and QCD radiative corrections and effects of detector smearing are included with the calculations.