162 research outputs found
The Gell-Mann-Okubo and Colemann-Glashow relations for octet and decuplet baryons in the quantum algebra
The q-deformed Clebsch-Gordan coefficients corresponding to the
\lrpy{3}\times\lrpy{21} reduction of the quantum algebra are
computed. From these results and using the quantum Clebsch-Gordan coefficients
for the \lrpy{21}\times\lrpy{21} reduction found by Zhong Qi Ma, the
q-deformed Gell-Mann-Okubo mass relations for octet and decuplet baryons are
determined by generalizing the procedure used for the SU(3) algebra. We also
determine the Coleman-Glashow relations for octet and decuplet baryons in the
algebra. Finally, by using the experimental particle masses of the
octet and decuplet baryons, two values of the -parameter are found and
adjusted for the predicted masses expressions (one for the Gell-Mann-Okubo mass
relations and the other for the Coleman-Glashow relations) and a possible
physical interpretation is given.Comment: 19 pages, 4 figures. Corrected typo
A 3-3-1 model with right-handed neutrinos based on the family symmetry
We present the first multiscalar singlet extension of the 3-3-1 model with
right-handed neutrinos, based on the family
symmetry, supplemented by the flavor group,
consistent with current low energy fermion flavor data. In the model under
consideration, the light active neutrino masses are generated from a double
seesaw mechanism and the observed pattern of charged fermion masses and quark
mixing angles is caused by the breaking of the discrete group at very high energy. Our model
has only 14 effective free parameters, which are fitted to reproduce the
experimental values of the 18 physical observables in the quark and lepton
sectors. The obtained physical observables for the quark sector agree with
their experimental values, whereas those ones for the lepton sector also do,
only for the inverted neutrino mass hierarchy. The normal neutrino mass
hierarchy scenario of the model is disfavored by the neutrino oscillation
experimental data. We find an effective Majorana neutrino mass parameter of
neutrinoless double beta decay of 22 meV, a leptonic Dirac
CP violating phase of and a Jarlskog invariant of about
for the inverted neutrino mass spectrum.Comment: 22 pages. Final version published in European Physical Journal C.
arXiv admin note: text overlap with arXiv:1601.03300, arXiv:1309.656
A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
We propose an extension of the 3-3-1 model with an additional symmetry group
and an extended scalar sector. To our
best knowledge this is the first example of a renormalizable 3-3-1 model, which
allows explanation of the SM fermion mass hierarchy by a sequential loop
suppression: tree-level top and exotic fermion masses, 1-loop bottom, charm,
tau and muon masses; 2-loop masses for the light up, down, strange quarks as
well as for the electron. The light active neutrino masses are generated from a
combination of linear and inverse seesaw mechanisms at two loop level. The
model also has viable fermionic and scalar dark matter candidates.Comment: 35 pages, 4 figures. Version accepted for publication in JHE
The first flavor 3-3-1 model with low scale seesaw mechanism
We propose a viable model based on the
gauge group, augmented by the global lepton number symmetry and
the discrete group, capable of explaining
the Standard Model (SM) fermion masses and mixings, and having a low scale
seesaw mechanism which can be tested at the LHC. In addition the model provides
an explanation for the SM fermion masses and mixings. In the proposed model,
small masses for the light active neutrinos are generated by an inverse seesaw
mechanism caused by non renormalizable Yukawa operators and mediated by three
very light Majorana neutrinos and the observed hierarchy of the SM fermion
masses and mixing angles is produced by the spontaneous breaking of the
symmetry at very large energy scale.
This neutrino mass generation mechanism is not presented in our previous 3-3-1
models with group (Nucl.Phys. B913 (2016) 792-814 and Eur.Phys.J.
C76 (2016) no.5, 242), where the masses of the light active neutrinos arise
from a combination of type I and type II seesaw mechanisms (Nucl.Phys. B913
(2016) 792-814) as well as from a double seesaw mechanism (Eur.Phys.J. C76
(2016) no.5, 242). Thus, this work corresponds to the first implementation of
the symmetry in a 3-3-1 model with low scale seesaw mechanism.Comment: 13 pages, 4 figures. Final version published in European Physical
Journal
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