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

TL;DR

This paper develops a supersymmetric model where CP and R-parity are spontaneously broken, successfully explaining neutrino masses, mixings, and CP violation phenomena consistent with experimental bounds.

Contribution

It introduces a novel supersymmetric extension with spontaneous CP and R-parity breaking, addressing neutrino properties and CP violation within a unified framework.

Findings

Neutrino masses and mixings match experimental data

Model predicts CP violation in neutrino sector

Results are consistent with electric dipole moment constraints and epsilon_K measurements

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 epsilon_K in the kaon system and show that we obtain results consistent with the experimental value.