Predictions of neutrino mixing angles in a T′ model

Fermion masses and flavor mixings in a model with flavor symmetry

“…The possible ways of resolving this issue are to consider new sources of symmetry breaking or enlarge the symmetry group. Two discrete groups T ′ [19][20][21][22][23][24][25][26] and S 4 [27][28][29][30][31][32] are found to be promising, both groups have two dimensional irreducible representation, which is very useful to describing the quark sector. The S 4 symmetry is particularly interesting, S 4 as a horizontal symmetry group has been proposed long ago [33], and some models with different purposes have been built [34].…”

Residual Symmetries for Neutrino Mixing with a Largeθ13and Nearly MaximalδD

“…Discrete groups such as S 3 [4], A 4 [5,6], S 4 [6][7][8], and the binary tetrahedral group T ′ [9] have been quite popular while new possibilities are explored in [10]. Other efforts concentrate on perturbations from some featured zeroth-order mixing such as democratic [11,12], bimaximal [8,12,13], tribimaximal [6,13,14], and tetra-maximal [15] patterns.…”

Quartification withT′flavor

“…The flavor symmetry may treat the fermion families differently so that the simplest approaches to gauge unification are inapplicable. The present article will show how to combine the flavor group (T ′ ), which has been studied previously [1][2][3][4][5][6][7][8], with a quiver unified quartification SU(3) 4 gauge group [9], while successfully keeping results previously obtained without unification, such as the Cabibbo angle [6], as well as tribimaximal mixing for neutrinos [10][11][12][13][14][15]. The quiver unification has the advantage of implying further relationships between the gauge couplings.…”

“…[6] and elaborated on in Refs. [2,15]. In the most general potential involving all the scalar fields, there is such a surfeit of parameters that stationarization of such a potential can, in general, always allow a stable global minimum corresponding to the VEVs assumed in Eqs.…”