317 research outputs found
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
Nucleon-antinucleon Interaction from the Modified Skyrme Model
We calculate the static nucleon-antinucleon interaction potential from the
modified Skyrme model with additional term using the product
ansatz. The static properties of single baryon are improved in the modified
Skyrme model. State mixing is taken into account by perturbation theory, which
substantially increases the strength of the central attraction. We obtain a
long and mid range potential which is in qualitative agreement with some
phenomenological potentials.Comment: 21 pages, 7 figur
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
Generalised CP and Family Symmetry
We perform a comprehensive study of the family symmetry
combined with the generalised CP symmetry . We investigate the
lepton mixing parameters which can be obtained from the original symmetry
breaking to different remnant symmetries in
the neutrino and charged lepton sectors, namely and subgroups
in the neutrino and the charged lepton sector respectively, and the remnant CP
symmetries from the breaking of are and
, respectively, where all cases correspond to a preserved
symmetry smaller than the full Klein symmetry, as in the semi-direct approach,
leading to predictions which depend on a single undetermined real parameter,
which may be fitted to the reactor angle for example. We discuss 26 possible
cases, including a global determination of the best fit parameters and
the correlations between mixing parameters, in each case.Comment: 71 pages, 10 figure
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