  We use gradient flow to compute the static force based on a Wilson loop with
a chromoelectric field insertion. The result can be compared on one hand to the
static force from the numerical derivative of the lattice static energy, and on
the other hand to the perturbative calculation, allowing a precise extraction
of the $\Lambda_0$ parameter. This study may open the way to gradient flow
calculations of correlators of chromoelectric and chromomagnetic fields, which
typically arise in the nonrelativistic effective field theory factorization.
