Finite-$Q^2$ Corrections to Parity-Violating DIS

Parity-violating deep inelastic scattering (PVDIS) has been proposed as an important new tool to extract the flavor and isospin dependence of parton distributions in the nucleon. We discuss finite-$Q^2$ effects in PVDIS asymmetries arising from subleading kinematical corrections and longitudinal contributions to the $\gamma Z$ interference. For the proton, these need to be accounted for when extracting the $d/u$ ratio at large $x$. For the deuteron, the finite-$Q^2$ corrections can distort the effects of charge symmetry violation in parton distributions, or signals for physics beyond the standard model. We further explore the dependence of PVDIS asymmetries for polarized targets on the $u$ and $d$ helicity distributions at large $x$.