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Measurements of parity-violating asymmetries in DIS region using the SoLIDspectrometer at Jefferson Lab (JLab) Hall A in the 12 GeV era are presented. Aproposal with a polarized electron beam on unpolarized deuteron and protontargets has been approved with an A rating by the JLab PAC. The deuteronmeasurement aims to measure the weak mixing angle $\sin^2 \theta_W $ with aprecision of $\pm$ 0.0006 as well as to access the fundamental couplingconstants $C_{2q}$ with a high precision. This measurement is ideally suitedfor testing the Standard Model with the potential to probe charge symmetryviolation and resolve the quark-quark correlations in the DIS region. Theproton experiment provides a clean measurement of $d/u$ ratio in the high-$x$region free of nuclear corrections. To achieve these goals, the SoLIDspectrometer was proposed and designed to handle a high luminosity with a largeacceptance. In this article, the details of the approved measurements arediscussed, along with new ideas with PVDIS using a polarized $^3$He target toaccess new $\gamma-Z$ interference polarized structure functions and aunpolarized $^{48}$Ca target to study the EMC effect.

Parity Violation in Deep Inelastic Scattering with the SoLID Spectrometer at JLab