  The best way to search for new physics is by using a diverse set of probes -
not just experiments at the energy and the cosmic frontiers, but also the
low-energy measurements relying on high precision and high luminosity. One
example of such ultra-precision experiments is the MOLLER experiment planned at
JLab, which will measure the parity-violating electron-electron scattering
asymmetry and allow a determination of the weak mixing angle with a factor of
five improvement in precision over its predecessor, E-158. At this precision,
any inconsistency with the Standard Model should signal new physics. The paper
will explore how new physics particles enter at the next-to-leading order
one-loop level. For MOLLER we analyze the effects of dark Z'-boson on the total
calculated asymmetry, and show how this new physics interaction carriers may
influence the analysis of the future experimental results.
