Fermion masses and mixing in SU(5)×D4×U(1) model Ahl Laamara, R.; Loualidi, M.A.; Miskaoui, M. ...
Nuclear physics. B,
March 2017, 2017-03-00, 2017-03-01, Volume:
916, Issue:
C
Journal Article
Peer reviewed
Open access
We propose a supersymmetric SU(5)×Gf GUT model with flavor symmetry Gf=D4×U(1) providing a good description of fermion masses and mixing. The model has twenty eight free parameters, eighteen are ...fixed to produce approximative experimental values of the physical parameters in the quark and charged lepton sectors. In the neutrino sector, the TBM matrix is generated at leading order through type I seesaw mechanism, and the deviation from TBM studied to reconcile with the phenomenological values of the mixing angles. Other features in the charged sector such as Georgi–Jarlskog relations and CKM mixing matrix are also studied.
A pseudo su(1,1)-algebra is formulated as a possible deformation of the Cooper pair in the su(2)-algebraic many-fermion system. With the aid of this algebra, it is possible to describe the behavior ...of individual fermions which are generated as the result of interaction with the external environment. The form presented in this paper is a generalization of a certain simple case developed recently by the authors. The basic idea follows the su(1,1) algebra in the Schwinger boson representation for treating energy transfer between the harmonic oscillator and the external environment. The Hamiltonian is given following the idea of phase space doubling in the thermo-field dynamics formalism, and the time-dependent variational method is applied to this Hamiltonian. Its trial state is constructed in the frame deformed from the BCS-Bogoliubov approach to superconductivity. Several numerical results are shown.
We study the quantum dynamics of the opened three-level su(1, 1) bosonic model. The effective non-Hermitian Hamiltonians describing the system of the Lindblad equation in the short time limit are ...constructed. The obtained non-Hermitian Hamiltonians are exactly solvable by the Algebraic Bethe Ansatz. This approach allows representing biorthogonal and nonorthogonal bases of the system. We analyze the biorthogonal expectation values of a number of particles in the zero mode and represent it in the determinantal form. The time-dependent density matrix satisfying the Lindblad master equation is found in terms of the nonorthogonal basis.
A realisation of coordinates and momenta in the
algebraic space to describe vibrational excitations of ν-equivalent oscillators is obtained. The connection between algebraic and configuration spaces ...is carried out using the approach recently proposed Mol. Phys. (2017), doi:
10.1080/00268976.2017.1358829
. The realisation consists in an expansion in terms of the dynamical algebra generators with coefficients determined through a minimisation procedure and given in terms of matrix elements defined in configuration space. Two realisations are presented: one through an isomorphism with a harmonic oscillators basis and the second one using a mapping to Morse oscillators. In the case of the harmonic oscillator mapping, two chains associated with coordinate and momentum representation have been identified. Our approach allows us to establish the algebraic representation of any interaction and, consequently, of the Hamiltonian associated with ν-interacting oscillators, providing a formal approach to estimate the potential energy surface.
The wind speed response to mesoscale SST variability is investigated over the Agulhas Return Current region of the Southern Ocean using the Weather Research and Forecasting (WRF) Model and the U.S. ...Navy Coupled Ocean-Atmosphere Mesoscale Prediction System (COAMPS) atmospheric model. The SST-induced wind response is assessed from eight simulations with different subgrid-scale vertical mixing parameterizations, validated using Quick Scatterometer (QuikSCAT) winds and satellite-based sea surface temperature (SST) observations on 0.25 degree grids. The satellite data produce a coupling coefficient of s sub(U) = 0.42 m s super(-1) degree C super(-1) for wind to mesoscale SST perturbations. The eight model configurations produce coupling coefficients varying from 0.31 to 0.56 m s super(-1) degree C super(-1). Most closely matching QuikSCAT are a WRF simulation with the Grenier-Bretherton-McCaa (GBM) boundary layer mixing scheme (s sub(U) = 0.40 m s super(-1) degree C super(-1)), and a COAMPS simulation with a form of Mellor-Yamada parameterization (s sub(U) = 0.38 m s super(-1) degree C super(-1)). Model rankings based on coupling coefficients for wind stress, or for curl and divergence of vector winds and wind stress, are similar to that based on s sub(U). In all simulations, the atmospheric potential temperature response to local SST variations decreases gradually with height throughout the boundary layer (0-1.5 km). In contrast, the wind speed response to local SST perturbations decreases rapidly with height to near zero at 150-300 m. The simulated wind speed coupling coefficient is found to correlate well with the height-averaged turbulent eddy viscosity coefficient. The details of the vertical structure of the eddy viscosity depend on both the absolute magnitude of local SST perturbations, and the orientation of the surface wind to the SST gradient.
The general
SU
(
N
)
form factor formula is constructed. Exact form factors for the field, the energy–momentum and the current operators are derived and compared with the
1
/
N
-expansion of the ...chiral Gross–Neveu model and full agreement is found. As an application of the form factor approach the equal time commutation rules of arbitrary local fields are derived and in general anyonic behavior is found.
The R-symmetry formalism is applied for the supersymmetric economical SU(3)_C X SU(3)_L X U(1)_X (3-3-1) model. The generalization of the minimal supersymmetric standard model relation among ...R-parity, spin and matter parity is derived, and discrete symmetries for the proton stability in this model are imposed. We show that in such a case it is able to give leptons masses at just the tree level. A simple mechanism for the mass generation of the neutrinos is explored. With the new R-parity, the neutral fermions get mass matrix with two distinct sectors: one light which is identified with neutrino mass matrix, another heavy one which is identified with neutralinos one. The similar situation exists in the charged fermion sector. Some phenomenological consequences such as proton stability, neutrinoless double beta decays are discussed.
There are different models which are based on the gauge symmetry SU(3)C⊗SU(3)L⊗U(1)X (331), and some of them include exotic particles, and others are constructed without any exotic charges assigned ...to the fermionic spectrum. Each model build-up on 331 symmetry has its own interesting properties according to the representations of the gauge group used for the fermionic spectrum, that is, the main reason to explore and identify the possible sources of flavor changing neutral currents and lepton flavor violation at tree level.
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