Probe of New Physics using Precision Measurement of the Electron Magnetic Moment

Abstract

The anomalous magnetic moment of the electron is determined experimentally with an accuracy of $2.8\times 10^{-13}$ and the uncertainty may decrease by an order of magnitude in the future. While the current data is in excellent agreement with the standard model, the possible future improvement in the error in $\Delta a_e=a_e^{\text{exp}}-a_e^{\text{theory}}$ has recently drawn interest in the electron anomalous magnetic moment as a possible probe of new physics beyond the standard model. In this work we give an analysis of such physics in an extension of the minimal supersymmetric standard model with a vector multiplet. In the extended model the electroweak contribution to the anomalous magnetic moment of the electron include loop diagrams involving in addition to the exchange of W and Z, the exchange of charginos, sneutrinos and mirror sneutrinos, and the exchange of neutralinos, sleptons and mirror sleptons. The analysis shows that a contribution to the electron magnetic moment much larger than expected by $m_e^2/m_{\mu }^2$ scaling of the deviation of the muon anomalous magnetic moment over the standard model prediction, i.e., $\Delta a_{\mu }=3\times 10^{-9}$ as given by the Brookhaven experiment, can be gotten within the MSSM extension. Effects of CP violating phases in the extended MSSM model on the corrections to the supersymmetric electroweak contributions to $a_e$ are also investigated. The analysis points to the possibility of detection of new physics effects with modest improvement on the error in $\Delta a_e=a_e^{\text{exp}}-a_e^{\text{theory}}$.

28 pages, 8 figures. Accepted for publication in Physical Review D. arXiv admin note: text overlap with arXiv:1312.2505

References in corpus (17)

• New determination of the fine structure constant and test of the quantum electrodynamics
• Physics at Super B Factory
• Combination of Bloch oscillations with a Ramsey-Bordé interferometer : new determination of the fine structure constant
• Higgs Boson Mass, Sparticle Spectrum and Little Hierarchy Problem in Extended MSSM
• Revised value of the eighth-order electron g-2
• Revised value of the eighth-order QED contribution to the anomalous magnetic moment of the electron
• Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
• Tau anomalous magnetic moment form factor at Super B/Flavor factories
• The Chromoelectric Dipole Moment of the Top Quark in Models with Vector Like Multiplets
• An MSSM Extension with a Mirror Fourth Generation, Neutrino Magnetic Moments and LHC Signatures
• Eighth-Order Vacuum-Polarization Function Formed by Two Light-by-Light-Scattering Diagrams and its Contribution to the Tenth-Order Electron g-2
• Tenth-Order Lepton Anomalous Magnetic Moment -- Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other
• Tau spin correlations and the anomalous magnetic moment
• Tenth-order lepton g-2: Contribution of some fourth-order radiative corrections to the sixth-order g-2 containing light-by-light-scattering subdiagrams
• Automated Calculation Scheme for alpha^n Contributions of QED to Lepton g-2: New Treatment of Infrared Divergence for Diagrams without Lepton Loops
• Phases and CP Violation in SUSY
• The tau lepton anomalous magnetic moment

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• The Neutron Electric Dipole Moment and Probe of PeV Scale Physics