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We explore CP-violating (CPV) effects of heavy New Physics inflavour-changing quark dipole transitions, within the framework of StandardModel Effective Field Theory (SMEFT). First, we establish the relevantdimension six operators and consider the Renormalisation Group (RG) evolutionof the appropriate Wilson coefficients. We investigate RG-induced correlationsbetween different flavour-violating processes and electric dipole moments(EDMs) within the Minimal Flavour Violating and $U(2)^3$ quark flavour models.At low energies, we set bounds on the Wilson coefficients of the dipoleoperators using CPV induced contributions to observables in non-leptonic andradiative $B$, $D$ and $K$ decays as well as the neutron and electron EDMs.This enables us to connect observable CPV effects at low energies and generalNP appearing at high scales. We present bounds on the Wilson coefficients ofthe relevant SMEFT operators at the high scale $\Lambda = 5~{\rm TeV}$, anddiscuss most sensitive CPV observables for future experimental searches.

New Physics in CP Violating and Flavour Changing Quark Dipole Transitions