Abstract

We study the prospects and opportunities of a large muon electric dipole moment (EDM) of the order (10^{-24} - 10^{-22}) ecm. We investigate how natural such a value is within the general minimal supersymmetric extension of the Standard Model with CP violation from lepton flavor violation in view of the experimental constraints. In models with hybrid gauge-gravity mediated supersymmetry breaking a large muon EDM is indicative for the structure of flavor breaking at the Planck scale, and points towards a high messenger scale.

Highlights

  • CP violating phenomena receive strong and continuous interest because they provide a gateway to physics beyond the standard model (SM)

  • We ask here whether d can be large, i.e., not many orders of magnitude below its current bound and if d is large, what are the requirements and implications for flavor physics?. We address these questions within the minimal supersymmetric standard model (MSSM)

  • We measure its amount within the general MSSM considering scenarios where CP violation is genuinely linked to lepton flavor violation only

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Summary

INTRODUCTION

CP violating phenomena receive strong and continuous interest because they provide a gateway to physics beyond the standard model (SM). E branching ratio of order 10À13 in the few years [6]; The bounds on the radiative tau decays can be improved at a possible future super flavor factory up to 2 Â 10À9 [7] (with 75 abÀ1); there is a recent proposal to improve the current limit on d by 3 orders of magnitude, even as low as 5 Â 10À25 ecm [8]. We measure its amount within the general MSSM considering scenarios where CP violation is genuinely linked to lepton flavor violation only. In this framework, there is no modelindependent connection between hadronic and leptonic CP violation, and we do not impose the CP constraints from the hadron sector. A detailed numerical study in the general MSSM is presented in Sec. III, where we access the fine-tuning required for a large muon EDM.

THE MUON EDM WITH FLAVOR
Slepton flavor
Including Higgsinos
NUMERICAL ANALYSIS IN THE GENERAL MSSM
Input and constraints on susy parameters
Random walk analysis
Measures of fine-tuning
Discussion
A FLAVORED EDM IN HYBRID MODELS
Hybrid gauge gravity
A Flavor model and phenomenology
Including A terms
Mixing matrices
SUMMARY
Leptonic observables

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