Abstract
The electric dipole moments (EDMs) of electron and nucleons are promising probes of the new physics. In generic high-scale supersymmetric (SUSY) scenarios such as models based on mixture of the anomaly and gauge mediations, gluino has an additional contribution to the nucleon EDMs. In this paper, we studied the effect of the $CP$-violating gluon Weinberg operator induced by the gluino chromoelectric dipole moment in the high-scale SUSY scenarios, and we evaluated the nucleon and electron EDMs in the scenarios. We found that in the generic high-scale SUSY models, the nucleon EDMs may receive the sizable contribution from the Weinberg operator. Thus, it is important to compare the nucleon EDMs with the electron one in order to discriminate among the high-scale SUSY models.
Highlights
(GUTs) based on the high-scale SUSY scenarios, the specific mass spectrum yields the several features: the gauge couplings unify at the GUT scale with higher accuracy [14], and the dangerous proton decay via color-triplet Higgs exchange is suppressed due to the heavy sfermions [12, 15]
Even if the gaugino masses induced by the anomaly mediation are real, the additional contributions to gaugino masses may give rise to the physical phases of gaugino masses
The gluino chromoelectric dipole moment (CEDM) is induced by the physical phase of the gluino mass mass and the CP -violating couplings of gluino, and it generates the CP -violating Weinberg operator
Summary
In the SUSY breaking sector, we assume that there is no singlet superfield Under this assumption, the soft parameters are given as follows: mass parameters of scalar components are induced by the Planck-suppressed higher-dimensional operators, and gaugino masses and scalar trilinear couplings are induced with one-loop suppression by the anomaly mediation [16, 17]. The mass terms of the messenger superfields arise from the Giudice-Masiero mechanism [20], if the Kahler potential is given as. The gaugino masses are induced by the anomaly and gauge mediation mechanisms at one-loop order. B3 = −3 + N5 + 3N10 is the coefficient for the one-loop beta function of the SU(3)C gauge coupling, where N5 and N10 denote the numbers of pairs of 5 + 5 and 10 + 10 representations, respectively. We show that the additional complex phase gives rise to the gluino CEDM, and the CP -violating Weinberg operator arises from the gluino CEDM operator below the gluino threshold scale
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