  A popular framework for exploring Lorentz violation is the Standard Model
Extension. This extension contains a large number of parameters that can be
bounded in various experiments. Most studies, however, focus on the fermion or
photon sector. Here, we consider Lorentz violation in the weak vector boson
sector. The strongest bounds come from measurements of the asymmetry in Moller
scattering. We study the bounds that can be obtained from future measurements
of the parity violating asymmetry in deep inelastic electron-proton scattering
at the EIC, the LHeC and the FCC-eh. For the FCC-eh, the bounds could be
substantially improved over current bounds by including timing information.
