Radiative corrections to theta term in the left-right supersymmetric models

Abstract

We calculate the radiative correction to the theta term in the generic left-right supersymmetric model due to the Kobayashi-Maskawa source of CP-violation. We found that the value of $\bar{\theta }$ is very sensitive to the relations between vacuum expectation values of bidoublet scalars $<{\Phi }_1>=diag({\kappa }_1,{\kappa }_1^{\prime })$ and $<{\Phi }_2>=diag({\kappa }_2^{\prime },{\kappa }_2)$. The minimal value of $\bar{\theta }$ in the model is found to be of order $10^{-9}$ for ${\kappa }_1/{\kappa }_2\sim 1$, ${\kappa }_1^{\prime }={\kappa }_2^{\prime }=0$ in agreement with the experimental constraint without an axion mechanism or fine tuning. In other regions of the parameter space, the radiatively induced $\bar{\theta }$ gives unacceptably large contributions to the electric dipole moment of the neutron.

6 pages, latex, no figures

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• Violations of lepton flavour and CP in supersymmetric unified theories
• Simple supersymmetric solution to the strong CP problem
• Solution to the Strong CP Problem: Supersymmetry with Parity
• Hadronic Flavor and CP Violating Signals of Superunification
• Electric dipole moments as a test of supersymmetric unification

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