  Perturbative estimates of operator coefficients for improved lattice actions
are becoming increasingly important for precision simulations of many hadronic
observables. Following previous work by Dimm, Lepage, and Mackenzie, we
consider the feasibility of computing operator coefficients from numerical
simulations deep in the perturbative region of lattice theories. Here we
introduce a background field technique that may allow for the computation of
the coefficients of clover-field operators in a variety of theories. This
method is tested by calculations of the renormalized quark mass in lattice
NRQCD, and of the $O(\alpha_s)$ clover coefficient for Sheikholeslami-Wohlert
fermions. First results for the coefficient of the magnetic moment operator in
NRQCD are also presented.
