Spontaneous CP violation in the 3-3-1 model with right-handed neutrinos

We implement the mechanism of spontaneous CP violation in the 3-3-1 model with right-handed neutrinos and recognize their sources of CP violation. Our main result is that the mechanism works already in the minimal version of the model and new sources of CP violation emerges as an effect of new physics at energies higher than the electroweak scale.Comment: Major changes in the quark sector, electronic dipole moment of the neutron was evaluated, accepted for publication in the physical review

Estaquia em espécies cítricas monoembriônicas autoincompatíveis: uma alternativa para a caracterização citogenética de variedades do Banco Ativo de Germoplasma (BAG) de Citros.

O gênero Citrus L. (família Rutaceae) é formado tipicamente por espécies poliembriônicas, cujas sementes apresentam um embrião zigótico (híbrido) e um ou vários nucelares (apomíticos). Entretanto, alguns representantes deste grupo são monoembriônicos e autoincompatíveis, fato que leva à formação de seedlings exclusivamente de origem híbrida

Neutrino Mixing and the Minimal 3-3-1 Model

In the minimal 3-3-1 model charged leptons come in a non-diagonal basis. Moreover the Yukawa interactions of the model lead to a non-hermitian charged lepton mass matrix. In other words, the minimal 3-3-1 model presents a very complex lepton mixing. In view of this we check rigorously if the possible textures of the lepton mass matrices allowed by the minimal 3-3-1 model can lead or not to the neutrino mixing required by the recent experiments in neutrino oscillation.Comment: two references add, minor chages, accepted for publication in MPL

Some remarks on the attractor behaviour in ELKO cosmology

Recent results on the dynamical stability of a system involving the interaction of the ELKO spinor field with standard matter in the universe have been reanalysed, and the conclusion is that such system does not exhibit isolated stable points that could alleviate the cosmic coincidence problem. When a constant parameter $\delta$ related to the potential of the ELKO field is introduced in the system however, stable fixed points are found for some specific types of interaction between the ELKO field and matter. Although the parameter $\delta$ is related to an unknown potential, in order to satisfy the stability conditions and also that the fixed points are real, the range of the constant parameter $\delta$ can be constrained for the present time and the coincidence problem can be alleviated for some specific interactions. Such restriction on the ELKO potential opens possibility to apply the ELKO field as a candidate to dark energy in the universe, and so explain the present phase of acceleration of the universe through the decay of the ELKO field into matter.Comment: 17 pages, section III with minor changes and section IV rewritten with a new analysi