Combined Analysis of Electric Dipole Moments and Lepton Flavor Violating Rare Decays

TL;DR

This paper explores how lepton flavor violation sources in the MSSM can influence the electron's electric dipole moment and how combining EDM measurements with tau decay data can infer CP-violating phases, offering an alternative to collider measurements.

Contribution

It introduces a method to extract the CP-violating phase of the stau trilinear A-term by combining EDM and LFV decay data within the MSSM framework.

Findings

Electron EDM can receive significant contributions from LFV sources.

Combining EDM and tau decay data can constrain CP-violating phases.

Potential to replace direct collider measurements of CP phases.

Abstract

In the context of general Minimal Supersymmetric Standard Model (MSSM), new sources for Lepton Flavor Violation (LFV) as well as CP-violation appear. We show that in the presence of LFV sources, the electric dipole moment of the electron ($d_e$) can receive new contributions. In particular, $d_e$ can receive a significant contribution at one loop level from the phase of the trilinear $A$-term of the staus, $\phi_{A_\tau}$. We discuss how we can derive information on $\phi_{A_\tau}$ by combining the information on $d_e$ with that on the LFV decay modes of the $\tau$ lepton. We then discuss if this approach can be considered as an alternative to the direct measurement of $\phi_{A_\tau}$ at ILC.