Eur. Phys. J. C (2007) 52: 413-423
https://doi.org/10.1140/epjc/s10052-007-0370-z

Regular Article - Theoretical Physics

Higgs and neutrino sector, EDM and ε_K in a spontaneously CP and R-parity breaking supersymmetric model

¹ Department of Physics, Concordia University, 7141 Sherbrooke St. West, Montreal, Quebec, H4B 1R6, Canada
² High Energy Physics Division, Department of Physical Sciences, University of Helsinki, Helsinki, Finland
³ Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014, Helsinki, Finland

^* e-mail: timo.ruppell@helsinki.fi

Received: 25 May 2007
Published online: 7 August 2007

Abstract

We construct an extension of the supersymmetric standard model where both CP symmetry and R-parity are spontaneously broken. We study the electroweak symmetry breaking sector of the model and find minima consistent with the experimental bounds on Higgs boson masses. Neutrino masses and mixing angles are generated through both seesaw and bilinear R-parity violation. We show that the hierarchical mass pattern is obtained, and mixings are consistent with measured values. Due to the spontaneous CP and R-parity violation, the neutrino sector is CP violating, and we calculate the corresponding phase. We further restrict the parameter space to agree with the limits on the electric dipole moment of the neutron. Finally, we study the CP violation parameter ε_K in the kaon system and show that we obtain results consistent with the experimental value.