Higgs and neutrino sector, EDM and εK in a spontaneously CP and R-parity breaking supersymmetric model (original) (raw)

2007, The European Physical Journal C

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 K in the kaon system and show that we obtain results consistent with the experimental value. arXiv:0705.4160v1 [hep-ph] 29 May 2007 2 M. Frank, K. Huitu, T. Rüppell: Higgs and neutrino sector in a spontaneous CP and R breaking model Another problem of the Standard Model, which persists in the MSSM, is that the neutrino masses vanish. Yet the neutrino experiments have provided strong evidence for small nonvanishing neutrino masses . Perhaps the most popular mechanism to explain neutrino masses is the seesaw mechanism , which can generate small masses for neutrinos by allowing Majorana masses through the introduction of heavy right-handed neutrinos. Another popular way to explain the neutrino masses is through a small violation of R-parity [16], R p = (−1) 3B−L+2s , where B=baryon number, L=lepton number, and s=spin of the particle . Extensive phenomenological studies of R-parity violating effects exist; for a recent review see .