A Supersymmetric Solution to CP Problems

Abstract

We analyze the minimal supersymmetric left-right model with non-re\-nor\-malizable interactions induced by higher scale physics and study its {\it CP} violating properties. We show that it: (i) solves the strong {\it CP} problem; (ii) predicts the neutron electric dipole moment well within experimental limits (thus solving the usual SUSY {\it CP} problem). In addition, it automatically conserves {\it R}-parity. The key points are that the parity symmetry forces the Yukawa couplings to be hermitean, while supersymmetry ensures that the scalar potential has a minimum with real higgs doublet vacuum expectation values. Gluino and B-L gaugino masses are automatically real. The observed {\it CP} violation in the kaon system comes, as in the Standard Model, from the Kobayashi-Maskawa-type phases. These solutions are valid for any value of the right-handed breaking scale $M_R$, as long as the effective theory below $M_R$ has only two Higgs doublets that couple fully to fermions. ({\it i.e.} the theory below $M_R$ is MSSM-like.) The potentially dangerous $SU(2{)}_L$ gaugino one-loop contributions to $\bar{\Theta }$ below $M_R$ can be avoided if the left-right symmetry originates from a unified theory in which the $SU(2{)}_{L,R}$ gaugino masses are real. As an example, we show how the left-right symmetry can be embedded in an SO(10) theory.

23 pages, plain Latex. A discussion of one-loop contributions to the gluino mass phase and some references added; misprints and a minor error in Appendix C corrected; notation improved

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• Simple supersymmetric solution to the strong CP problem
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• Upper bound on the $W_R$ mass in automatically R-conserving SUSY models
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• The Light Higgsino-Gaugino Window
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Cited by in corpus (77)

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• Factoring the Strong CP Problem
• The Physics Programme Of The MoEDAL Experiment At The LHC
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• Hadronic EDMs, the Weinberg Operator, and Light Gluinos
• Supersymmetry and Large Scale Left-Right Symmetry
• Left-Right Symmetric Heterotic-String Derived Models
• Neutrino Masses and Mixings in a Predictive SO(10) Model with CKM CP Violation
• P, C and Strong CP in Left-Right Supersymmetric Models
• Minimal Supersymmetric Left-Right Model with Automatic R Parity
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• A Flavorful Factoring of the Strong CP Problem
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• t->cg, cγ, cZ in the Left-Right Supersymmetric Model
• New Messenger Sector for Gauge Mediated Supersymmetry Breaking
• Flavour-Dependent CP Violation and Natural Suppression of the Electric Dipole Moments
• Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle
• On sgoldstino interpretation of HyperCP events
• On the EDM Cancellations in D-brane models
• Some consequences of a Higgs triplet
• Signals of Doubly-Charged Higgsinos at the CERN Large Hadron Collider
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• Sparticle Spectroscopy and Phenomenology in a New Class of Gauge Mediated Supersymmetry Breaking Models
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• Cascading to the MSSM
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• U-boson and the HyperCP exotic events
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• Higgs Parity Grand Unification
• Naturally Flavorful Supersymmetry at the LHC
• Higgs Boson Spectra in Supersymmetric Left-Right Models
• Diphotons, New Vacuum Angles, and Strong CP
• Chargino and neutralino production at the Large Hadron Collider in left-right supersymmetric models
• Single Production of Doubly Charged Higgsinos at linear e-e- colliders
• Neutrino Masses in the Effective Rank-5 Subgroups of E_6 II: Supersymmetric Case
• b -> s gamma in the left-right supersymmetric model
• Flavors and Phases in Unparticle Physics
• The Theta Term in QCD Sum Rules and the Electric Dipole Moment of the Vector Meson
• Solving the strong CP problem with non-conventional CP
• Smooth Hybrid Inflation and Non-Thermal Type II Leptogenesis
• Resonant slepton production and right sneutrino dark matter in left-right supersymmetry
• The supersymmetric spectrum in SO(10) GUTs with gauge-mediated supersymmetry breaking
• Left-right supersymmetry after the Higgs boson discovery
• Higgs Bosons in a minimal R-parity conserving left-right supersymmetric model
• Classification of SU(4) X SU(2) X U(1) Heterotic-String Models
• Leptonic $CP$ Violation and Proton Decay in SUSY SO(10)
• SO(10) GUTs with gauge mediated supersymmetry breaking
• Multileptonic signals of co-annihilating left-right supersymmetric dark matter
• Constraining Right-Handed Scale Through Kaon Mixing in SUSY Left-Right Model
• Rare kaon decays in SUSY with non-universal A terms
• CP violation in supersymmetric models with Hermitian Yukawa couplings and A-terms
• Doubly Charged Higgsinos at Tevatron
• Exploring the supersymmetric U(1)${}_{B-L}\times$ U(1)${}_R$ model with dark matter, muon $g-2$ and $Z^{\prime }$ mass limits
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• The left-right supersymmetric option at a high-energy upgrade of the LHC
• Doubly charged Higgsino contribution to the decays mu-->e photon and mu-->3e and to the anomalous magnetic moment of the muon within the left-right supersymmetric model
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• Absence of Spontaneous CP violation in Multi-Higgs Doublet Extension of MSSM
• Higgs sector and R-parity breaking couplings in models with broken U(1)_B-L gauge symmetry
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• Spontaneous Parity Violation in SUSY Strong Gauge Theory
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• Top-down and bottom-up excursions beyond the Standard Model: The example of left-right symmetries in supersymmetry