Leptophobic Z' boson and parity-violating eD scattering

We study the impact of a leptophobic Z' gauge boson on the C-1q and C-2q parameters that describe the low-energy, parity-violating electron-quark neutral current interaction. We complement previous work by including the penguin-like vertex corrections, thereby completing the analysis of one-loop calculation up to (sic)(m(q')(2)/M-Z'(2)) terms. We analyze the sensitivity of these probes to the different couplings Z'(u) over barq (q u, c, t) and Z'(d) over barq (q = d, s, b) in a model- independent way that can be applied to any specific Z' scenario. We show that constraints from neutral kaon and heavy flavor studies preclude significant contributions from flavor nondiagonal couplings except for those involving top quarks. We apply our results to a light Z' with flavor diagonal couplings to up or down quarks, a scenario proposed in the literature to explain the CDF W plus dijet anomaly. We find that such a particle would not affect the C1q coefficients, but it would have a sizable impact on C-2q couplings that can be probed by future measurements of parity- violating deep inelastic scattering of polarized electrons off of deuterium.