Seesaw inverso e implementação no modelo 331𝑣R.

Abstract

Inverse Seesaw and implementation in the 331𝑣R model In this work we study the Inverse Seesaw Mechanism through the introduction of six new fields: three right-handed neutrinos and three neutral fermions, singlets by the standard model particle physics group SU (3)c × SU (2)L × U (1)Y . We show that the 3-3-1 model with right-handed neutrinos (extension of the symmetry group of the standard model SU (3)c ×SU (2)L ×U (1)Y to SU (3)c ×SU (3)L ×U (1)N) has the appropriate structure to implement the Inverse Seesaw Mechanism. We exhibit the neutral currents that can be derived in the 3-3-1 model and the way that the nine fields of the inverse seesaw mechanism (three active neutrinos, three right-handed neutrinos and three neutral fermions) enter in the currents in the mixed form. To know the numerical form of the mixing matrix, is necessary to solve a nonlinear system of equations without exact solution that is generated from the products of Yukawa matrices in our model. To solve the problem, we generated more than one million Yukawa matrices and, from a numerical method developed for this work, we found the best approximation. Finally, knowing the numerical form of the Yukawa matrices, we calculate the six masses of the new neutrinos and neutral fermions, and the mixing matrix that relates the nine flavour eigenstates with the nine mass eigenstates.