9,349 research outputs found
Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
We discussed the scenario that a discrete flavor group combined with CP
symmetry is broken to in both neutrino and charged lepton
sectors. All lepton mixing angles and CP violation phases are predicted to
depend on two free parameters and varying in the
range of . As an example, we comprehensively study the lepton mixing
patterns which can be derived from the flavor group and CP
symmetry. Three kinds of phenomenologically viable lepton mixing matrices are
obtained up to row and column permutations. We further extend this approach to
the quark sector. The precisely measured quark mixing angles and CP invariant
can be accommodated for certain values of the free parameters and
. A simultaneous description of quark and lepton flavor mixing
structures can be achieved from a common flavor group and CP,
and accordingly the smallest value of the group index is .Comment: 40 pages, 8 figure
Generalised CP and Trimaximal TM Lepton Mixing in Family Symmetry
We construct two flavor models based on family symmetry and generalised
CP symmetry. In both models, the family symmetry is broken down to the
subgroup in the neutrino sector, as a consequence, the trimaximal
lepton mixing is produced. Depending on the free parameters in
the flavon potential, the Dirac CP is predicted to be either conserved or
maximally broken, and the Majorana CP phases are trivial. The two models differ
in the neutrino sector. The flavon fields are involved in the Dirac mass terms
at leading order in the first model, and the neutrino mass matrix contains
three real parameters such that the absolute neutrino masses are fixed.
Nevertheless, the flavon fields enter into the Majorana mass terms at leading
order in the second model. The leading order lepton mixing is of the
tri-bimaximal form which is broken down to by the next to leading
order contributions.Comment: 28 page
Deviation from Bimaximal Mixing and Leptonic CP Phases in Family Symmetry and Generalized CP
The lepton flavor mixing matrix having one row or one column in common with
the bimaximal mixing up to permutations is still compatible with the present
neutrino oscillation data. We provide a thorough exploration of generating such
a mixing matrix from family symmetry and generalized CP symmetry
. Supposing that is broken down to
in the neutrino sector and
in the charged lepton sector, one column of
the PMNS matrix would be of the form up
to permutations, both Dirac CP phase and Majorana CP phases are trivial in
order to accommodate the observed lepton mixing angles. The phenomenological
implications of the remnant symmetry
in the neutrino sector and in the charged lepton
sector are studied. One row of PMNS matrix is determined to be , and all the three leptonic CP phases can only be trivial
to fit the measured values of the mixing angles. Two models based on
family symmetry and generalized CP are constructed to implement these model
independent predictions enforced by remnant symmetry. The correct mass
hierarchy among the charged leptons is achieved. The vacuum alignment and
higher order corrections are discussed.Comment: 44 pages, 7 figure
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