In the minimal 3-3-1 model charged leptons come in a non-diagonal basis. Moreover the Yukawa interactions of the model lead to a non-hermitian charged lepton mass matrix. In other words, the minimal 3-3-1 model presents a very complex lepton mixing.
In view of this we check rigorously if the possible textures of the lepton mass matrices allowed by the minimal 3-3-1 model can lead or not to the neutrino mixing required by the recent experiments in neutrino oscillation.
We show that the mixing effect of the neutral gauge bosons in the 3-3-1-1 model comes from two sources. The first one is due to the 3-3-1-1 gauge symmetry breaking as usual, whereas the second one results from the kinetic mixing between the gauge bos
ons of U(1)_X and U(1)_N groups, which are used to determine the electric charge and baryon minus lepton numbers, respectively. Such mixings modify the rho-parameter and the known couplings of Z with fermions. The constraints that arise from flavor-changing neutral currents due to the gauge boson mixings and non-universal fermion generations are also given.
We use lattice QCD to calculate the B-mixing hadronic matrix elements for a basis of effective four-quark operators that spans the space of all possible contributions in, and beyond, the Standard Model. We present results for the SU(3)-breaking ratio
and discuss our ongoing calculation of the mixing matrix elements, including the first calculation of the beyond the Standard Model matrix elements from unquenched lattice QCD.
We present a systematic analysis of perturbative Hexagonal(HG) mixing for describing recent global fit neutrino mixing data with normal and inverted hierarchy. The corrections to unperturbed mixing are parameterized in terms of small orthogonal rotat
ions (R) with modified PMNS matrix of the forms big($R_{alphabeta}^lcdot V_{HG},~V_{HG}cdot R_{alphabeta}^r,~V_{HG}cdot R_{alphabeta}^r cdot R_{gammadelta}^r,~R_{alphabeta}^l cdot R_{gammadelta}^l cdot V_{HG}$,~$R_{alphabeta}^lcdot V_{HG}cdot R_{gammadelta}^r$big ). Here $R_{alphabeta}^{l, r}$ is rotation in ij sector and $V_{HG}$ is unperturbed Hexagonal mixing matrix. The detailed numerical investigation of all possible cases is performed with scanning of parameter space using $chi^2$ approach. We found that the perturbative schemes governed by single rotation are unable to fit the mixing angle data even at $3sigma$ level. The mixing schemes which involves two rotation matrices, only big($R_{12}^l cdot R_{13}^l cdot V_{HG}$, ~$R_{13}^l cdot R_{12}^l cdot V_{HG}$,~$R_{13}^l cdot V_{HG} cdot R_{12}^r$,~$R_{12}^l cdot V_{HG} cdot R_{12}^r$, ~$R_{13}^l cdot V_{HG} cdot R_{13}^r$big ) are successful in fitting all neutrino mixing angles within $1sigma$ range for normal hierarchy(NH). However for inverted hierarchy(IH), only $R_{13}^l cdot V_{HG} cdot R_{13}^r$ is most preferable as it can fit all mixing angles at $1sigma$ level. The remaining perturbative cases are either excluded at 3$sigma$ level or successful in producing mixing angles only at $2-3sigma$ level. To study the impact of phase parameter, we also looked into CP violating effects for single rotation case. The predicted value of $delta_{CP}$ lies in the range $39.0^circ(40.4^circ) le |delta_{CP}| le 78.7^circ(79.2^circ)$ for $U_{12}^lcdot V_{HM}$ and $U_{13}^lcdot V_{HM}$ case with Normal(Inverted) Hierarchy.
We investigate the J^p=1/2^- baryons in the octets based on flavor SU(3) symmetry. Since baryons with same quantum numbers can mix with each other, we consider the mixing between two octets before their mixing with the singlet. Most predicted decay w
idths are consistent with the experimental data, and meanwhile we predict two possible $Xi$ mass ranges of the two octets.