Dimension-5 CP-odd operators: QCD mixing and renormalization

We study the off-shell mixing and renormalization of flavor-diagonal dimension-five T- and P-odd operators involving quarks, gluons, and photons, including quark electric dipole and chromoelectric dipole operators. We present the renormalization matrix to one loop in the (MS) over bar scheme. We also provide a definition of the quark chromoelectric dipole operator in a regularization-independent momentum-subtraction scheme suitable for nonperturbative lattice calculations and present the matching coefficients with the (MS) over tilde scheme to one loop in perturbation theory, using both the naive dimensional regularization and 't Hooft-Veltman prescriptions for gamma(5).