$\tilde{\nu}$ contributions to electron and muon EDM in an Inverse Seesaw Mechanism

TL;DR

This paper investigates how an extended supersymmetric model with an inverse seesaw mechanism contributes to electron and muon electric dipole moments, highlighting the role of CP violation and loop-level effects.

Contribution

It introduces a non-universal $U(1)_X$ extension with multiple scalars and neutrinos, analyzing EDM contributions at one and two-loop levels with novel constraints.

Findings

One-loop EDM contributions relate chargino and sneutrino masses.

Two-loop contributions are significant but sometimes diverge, imposing mass restrictions.

Constraints include non-degenerate sneutrino masses and heavier sneutrinos than charginos.

Abstract

A non-universal anomaly free $U(1)_{X}$ extension to the Minimal Supersymmetric Standard Model, consisting of four scalar doublets, four scalar singlets and additional quark and lepton singlets including right-handed and Majorana neutrinos, is used to determine the contributions to the electron and muon Electric Dipole Moment. The additional CP violation sources come from the lepton sector, where neutrino masses are explained by an Inverse Seesaw Mechanism and the CP violating phase of the PMNS matrix generates complex interactions that involves exotic neutrino and sneutrino mass eigenstates. Such contributions are studied at one and two-loop level by considering the associated Barr-Zee diagrams and their supersymmetric counterpart. At one-loop level, it is found that the Electric Dipole Moment fixes a relationship between chargino and sneutrino masses depending on which particles have a mass bellow $10^{6}$ GeV. At two loop level, contributions are comparable to the one-loop contributions but the integrals diverge in some cases, yielding additional restrictions such as no degenerate sneutrino masses and they should be heavier than chargino masses.