  In the context of the Standard Model effective field theory we derive direct
and indirect bounds on chromodipole operators involving the bottom and charm
quark. We find that the experimental upper limit on the neutron electric dipole
moment puts severe constraints on the imaginary parts of the Wilson
coefficients of both chromodipole operators. The magnitudes of the Wilson
coefficients are instead only weakly constrained by dijet searches and Z-boson
production in association with bottom-quark jets. Flavour physics does not
provide meaningful bounds.
