  Extensions of the Standard Model that contain leptophobic Z' gauge bosons are
theoretically interesting but difficult to probe directly in high-energy hadron
colliders. However, precision measurements of Standard Model neutral current
processes can provide powerful indirect tests. We demonstrate that
parity-violating deep inelastic scattering of polarized electrons off of
deuterium offer a unique probe leptophobic Z' bosons with axial quark couplings
and masses above 100 GeV. In addition to covering a wide range of previously
uncharted parameter space, planned measurements of the deep inelastic
parity-violating eD asymmetry would be capable of testing leptophobic Z'
scenarios proposed to explain the CDF W plus di-jet anomaly.
