Effects of $\mathrm{CP}$ violation on event rates in the direct detection of dark matter

A full analytic analysis of the effects of $\mathrm{CP}$ violating phases on the event rates in the direct detection of dark matter in the scattering of neutralinos from nuclear targets is given. The analysis includes $\mathrm{CP}$ violating phases in softly broken supersymmetry in the framework of the minimal supersymmetric standard model when generational mixings are ignored. A numerical analysis shows that large $\mathrm{CP}$ violating phases including the constraints from the experimental limits on the neutron and the electron electric dipole moment can produce substantial effects on the event rates in dark matter detectors.