TORRES, Y. M. O.; http://lattes.cnpq.br/9522490065037187; TORRES, Yohan Mauricio Oviedo.
Resumo:
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.