Neutron and lepton electric dipole moments in the minimal supersymmetric standard model, large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violating phases, and the cancellation mechanism

Abstract

An analysis of the electric dipole moment (EDM) of the neutron and of the lepton in the minimal supersymmetric standard model (MSSM) with the most general allowed set of $\mathrm{CP}$ violating phases without generational mixing is given. The analysis includes the contributions from the gluino, the chargino and the neutralino exchanges to the electric dipole operator, the chromoelectric dipole operator, and the $\mathrm{CP}$ violating purely gluonic dimension six operator. It is found that the EDMs depend only on certain combinations of the $\mathrm{CP}$ phases. The independent set of such phases is classified. The analysis of the EDMs given here provides the framework for the exploration of the effects of large $\mathrm{CP}$ violating phases on low-energy phenomena such as the search for supersymmetry at colliders, and in the analyses of dark matter consistent with the experimental limits on EDMs via the mechanism of internal cancellations.