Constraining CP-phases in SUSY: an interplay of muon/electron $g-2$ and electron EDM

Abstract

The minimal supersymmetric standard model (MSSM) with complex parameters can contribute sizably to muon/electron anomalous magnetic dipole momemnt ($g-2$) and electric dipole moment (EDM). The electron $g-2$ interplays with electron EDM; the muon $g-2$ can also interplay with electron EDM assuming the universality between smuon and selectron masses, either of which can constrain the relevant CP-phases in the MSSM. In this work, we first use such an interplay to derive an approximate analytical upper limit on the relevant CP-phase. Then we extensively scan the parameter space to obtain more accurate upper limits. We obtain the following observations: (i) The muon $g-2$ in the $2\sigma$ range combined with the electron EDM upper limit (assuming the universality between smuon and selectron masses) typically constrains the relevant CP-phase under $1.9\times 10^{-5}(\text{rad})$; (ii) The electron $g-2$ in the $2\sigma$ range (Berkeley) interplays with the electron EDM upper limit (without assuming the universality between smuon and selectron masses) constrains the relevant CP-phase under $3.9\times 10^{-6}(\text{rad})$ (also requiring muon $g-2$ in the allowed $2\sigma$ range). We also find some special cancellations in the parameter space which can relax the constraints by a couple of orders. Such stringent limits on CP-phases may pose a challenge for model building of SUSY, i.e., how to naturally suppress these phases.

arXiv comment13 pages, 4 figures

References in corpus (41)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• Measurement of the fine-structure constant as a test of the Standard Model
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Effective lagrangian for the tbH^+ interaction in the MSSM and charged Higgs phenomenology
• The More Minimal Supersymmetric Standard Model
• Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant
• Superweakly Interacting Massive Particles
• The Neutron and the Electron Electric Dipole Moment in N=1 Supergravity Unification
• Muon anomalous magnetic dipole moment in supersymmetric theories
• Electric Dipole Moments Do Not Require the CP-violating Phases of Supersymmetry To Be Small
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• The Neutron and the Lepton EDMs in MSSM, Large CP violating Phases, and the Cancellation Mechanism
• EDM Constraints in Supersymmetric Theories
• The Chromoelectric and Purely Gluonic Operator Contributions to the Neutron Electric Dipole Moment in N=1 Supergravity
• QED Logarithms in the Electroweak Corrections to the Muon Anomalous Magnetic Moment
• Electron and Neutron Electric Dipole Moments in the Constrained MSSM
• Constraints on Phases of Supersymmetric Flavour Conserving Couplings
• More on Electric Dipole Moment Constraints on Phases in the Constrained MSSM
• A Resolution to the Supersymmetric CP Problem with Large Soft Phases via D-branes
• Explaining electron and muon $g-2$ anomaly in SUSY without lepton-flavor mixings
• Electric Dipole Moment Constraints on Phases in the Constrained MSSM
• Tan(beta)-enhanced supersymmetric corrections to the anomalous magnetic moment of the muon
• Gluino-driven Radiative Breaking, Higgs Boson Mass, Muon $\mathbf{g}-2$, and the Higgs Diphoton Decay in SUGRA Unification
• Phases in the MSSM, Electric Dipole Moments and Cosmological Dark Matter
• Electron g-2 with flavor violation in MSSM
• Effect of supersymmetric phases on lepton dipole moments and rare lepton decays
• The SUSY CP Problem and the MFV Principle
• Muon $g-2$ and Dark Matter in the MSSM
• Pseudo-Goldstini in Field Theory
• Probing the MSSM explanation of the muon g-2 anomaly in dark matter experiments and at a 100 TeV $pp$ collider
• Connecting the Muon Anomalous Magnetic Moment and the Multi-lepton Anomalies at the LHC
• SUSY Phases, the Electron Electric Dipole Moment and the Muon Magnetic Moment
• Electron and muon $(g-2)$ in the B-LSSM
• Solving the muon g-2 anomaly in CMSSM extension with non-universal gaugino masses
• Solving the SUSY CP problem with flavor breaking F-terms
• Pseudo-goldstino and electroweakinos via VBF processes at LHC
• SUSY CP Problem in Gauge Mediation Model
• An explicit calculation of pseudo-goldstino mass at the leading three-loop level

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• $(g-2{)}_{\mu }$ and SUSY Dark Matter: Direct Detection and Collider Search Complementarity
• Interdependence of the new "MUON G-2" Result and the $W$-Boson Mass
• Studying the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies and $(g-2{)}_{\mu }$ in $R$-parity violating MSSM framework with the inverse seesaw mechanism
• Muon and Electron $(g-2)$ Anomalies with Non-Holomorphic Interactions in MSSM
• A smuon in the NMSSM confronted with the muon g-2 and SUSY searches
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation