CP-Violating Phases in SUSY, Electric Dipole Moments, and Linear Colliders

Abstract

We reexamine large CP-violating phases in the general Minimal Supersymmetric Standard Model, as well as more restricted models. We perform a detailed scan over parameter space to find solutions which satisfy the current experimental limits on the electric dipole moments of the electron, neutron and ${}^{199}$Hg atom, exploring the allowed configurations of phases and masses, and we attempt to quantify the level of tuning of the parameters necessary to populate the regions of cancellations. We then consider the measurement of CP-violating phases at a future linear collider. We find that measurements of chargino and neutralino masses and production cross-sections allow for a determination of ${\varphi }_1$(the phase of $M_1$) to a precision of $\pi /30$, while the EDM constraints require that ${\theta }_{\mu }$ be too small to be measured. Using the EDM constraints we find that the CP-even model parameters and the phase ${\varphi }_1$ can be determined at a Linear Collider with $400 \gev$ c.m. energy. As long as some information on the size of $|\mu |$ is included in the observables, a measurement of ${\varphi }_1$ is guaranteed for ${\varphi }_1>\pi /10$. To unambiguously identify CP violation, we construct CP-odd kinematical variables at a linear collider. However, the CP asymmetries are rather small, typically about $0.1-1.5$, and it will be challenging to experimentally observe the predicted asymmetries.

29 pages, version accepted by PRD, Figure 8 changed, minor changes in wording

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• The Neutron and the Electron Electric Dipole Moment in N=1 Supergravity Unification
• A new limit on the permanent electric dipole moment of ^{199}Hg
• Physics with e^+e^- Linear Colliders
• Electric Dipole Moments Do Not Require the CP-violating Phases of Supersymmetry To Be Small
• The Neutron and the Lepton EDMs in MSSM, Large CP violating Phases, and the Cancellation Mechanism
• The Chromoelectric and Purely Gluonic Operator Contributions to the Neutron Electric Dipole Moment in N=1 Supergravity
• QCD Corrections to the Masses of the neutral CP-even Higgs Bosons in the MSSM
• The Supersymmetric Flavor Problem
• MSSM Predictions for the Electric Dipole Moment of the ${}^{199}$Hg Atom
• Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
• Neutron EDM from Electric and Chromoelectric Dipole Moments of Quarks
• Two-Loop Effective Potential Calculation of the Lightest CP-Even Higgs-Boson Mass in the MSSM
• Reconstructing the Chargino System at $e^{+}{e}^{-}$ Linear Colliders
• Higgs-Boson Two-Loop Contributions to Electric Dipole Moments in the MSSM
• 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
• Theta Vacua, QCD Sum Rules, and the Neutron Electric Dipole Moment
• Large CP Phases and the Cancellation Mechanism in EDMs in SUSY, String and Brane Models
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• Phases in the MSSM, Electric Dipole Moments and Cosmological Dark Matter
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• CP Phases in Correlated Production and Decay of Neutralinos in the Minimal Supersymmetric Standard Model
• CP-odd interaction of axion with matter
• Measuring CP Violating Phases at a Future Linear Collider
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• The Electric Dipole Moment and CP Violation in $B\to X_s{l}^{+}{l}^{-}$ in SUGRA Models with Nonuniversal Gaugino Masses
• Determining $tan\beta$ from the SUSY Higgs Sector at Future e^+e^- Colliders
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