  The quark chromoelectric dipole (qCEDM) operator is a CP-violating operator
describing, at hadronic energies, beyond-the-standard-model contributions to
the electric dipole moment of particles with nonzero spin. In this paper we
define renormalized dipole operators in a regularization-independent scheme
using the gradient flow, and we perform the matching at one loop in
perturbation theory to renormalized operators of the same and lower dimension
in the more familiar MS scheme. We also determine the matching coefficients for
the quark chromomagnetic dipole operator (qCMDM), which contributes, for
example, to matrix elements relevant to CP-violating and CP-conserving kaon
decays. The calculation provides a basis for future lattice QCD computations of
hadronic matrix elements of the qCEDM and qCMDM operators.
