Impact of parity-violating deep-inelastic scattering on the weak mixing angle and high- x parton distributions

We discuss the impact of neutral current parity-violating deep-inelastic scattering (PVDIS) of electrons from protons and deuterons on the determination of the weak mixing angle, sin²θW, and parton distribution functions (PDFs) at large parton momentum fractions x. Using the JAM global QCD analysis framework, we study the effect of incorporating pseudodata simulated for 11 GeV and 22 GeV Jefferson Lab kinematics, accounting for radiative corrections in a factorized QED+QCD approach and uncertainties from higher twist corrections in $γZ$ exchange. We find that including future PVDIS pseudodata could yield important constraints on the value of sin²θW at low Q² and on the high-x behavior of the strange quark and $d/u$ PDF ratio. The strong correlation between sin²θW and the x dependence of the PDFs demonstrates the necessity for simultaneous analysis of QCD and electroweak quantities to ensure an unbiased determination of the weak mixing angle from PVDIS data.