CP violation in the $\mu \to 3e$ process and supersymmetric grand unified theory

Abstract

A triple vector correlation in the ${\mu }^{+}\to e^{+}{e}^{+}{e}^{-}$ decay with polarized muons is investigated as a probe to CP violating coupling constants in supersymmetric models. A sizable triple correlation can be induced due to a complex phase in the supersymmetric soft-breaking terms in the SU(5) grand unified theory. Correlation with the electric dipole moments of electron and neutron are investigated and it is shown that these quantities give independent information on possible CP violating sources.

11 pages, 6 figures. Fig.2(a), fig.2(b) and fig.3 are changed due to an error of our numerical calculation but main conclusion unchanged. Also added some discussions and figures of the neutron EDM. Version to appear in Physical Review D, Rapid Communications

References in corpus (3)

• The Neutron and the Electron Electric Dipole Moment in N=1 Supergravity Unification
• The Chromoelectric and Purely Gluonic Operator Contributions to the Neutron Electric Dipole Moment in N=1 Supergravity
• Effect of SUSY phases on the $B_d^0-{\bar{B}}_d^0$ mixing in the minimal supergravity model

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