  Precision measurements of nucleons provide constraints on the Standard Model
and can discern the signatures predicted for particles beyond the Standard
Model (BSM). Knowing the Standard Model inputs to nucleon matrix elements will
be necessary to constrain the couplings of dark matter candidates such as the
neutralino, to relate the neutron electric dipole moment to the CP-violating
theta parameter, or to search for new TeV-scale particles though non-$V-A$
interactions in neutron beta decay. However, these matrix elements derive from
the properties of quantum chromodynamics (QCD) at low energies, where
perturbative treatments fail. Using lattice gauge theory, we can
nonperturbatively calculate the QCD path integral on a supercomputer. In this
proceeding, I will discuss a few representative areas in which lattice QCD
(LQCD) can contribute to the search for BSM physics, emphasizing suppressed
operators in neutron decay, and outline prospects for future development.

High Energy Physics - Lattice;High Energy Physics - Phenomenology;Nuclear Theory