Tribimaximal mixing and Cabibbo angle inS4flavor model with supersymmetry

Abstract

We present a flavor model of quarks and leptons with the non-Abelian discrete symmetry S 4 in the framework of the SU (5) SUSY GUT. Three generations of 5-plets in SU (5) are assigned to 3 of S 4 while the first and second generations of 10-plets in SU (5) are assigned to 2 of S 4 , and the third generation of 10-plet is assigned to 1 of S 4 . Righthanded neutrinos are also assigned to 2 for the first and second generations and 1 ′ for the third generation. We predict the Cabibbo angle as well as the tri-bimaximal mixing of neutrino flavors. We also predict the non-vanishing U e3 of the neutrino flavor mixing due to higher dimensional mass operators. Our predicted CKM mixing angles and the CP violation are consistent with experimental values. We also study SUSY breaking terms in the slepton sector. Our model leads to smaller values of flavor changing neutral currents than the present experimental bounds. *

Different SO(10) paths to fermion masses and mixings

“…The leading approximation in these models is particularly constrained and the neutrino mixing angles are fixed in this limit. There are a number of GUT models of this type based on SU(5) (see, for example, [17,[19][20][21][22]), but, as mentioned, the SO(10) case is more difficult and the existing attempts, in our opinion, are still not satisfactory in all respects.…”

Testing the minimal S 4 model of neutrinos with the Dirac and Majorana phases

“…The advantage of the S 4 group includes both the doublet and the triplets as the fundamental representations. Therefore, the S 4 flavor symmetry was easily extended to the quark sector [107,108]. We obtain two models with the inverted neutrino mass hierarchy, which give two cases of the lightest neutrino mass m 3 = 0 and m 3 = 0, respectively.…”

“…These assignments are similar to the model in refs. [107,108] except for flavon fields. Under the S 4 group, the left-handed lepton doubletL = (L e ,L µ ,L τ ) are assumed to transform as the triplet, while the right-handed charged lepton are assigned to the doublet R = (e R , µ R ) and the singlet τ R .…”

An S 4 model inspired from self-complementary neutrino mixing

“…Also with this combination, the overall phases disappear. 6 We will see in the following the expressions with real components of each flavons. 5 The quartic term (φ a † φ b ) 3 (φ a † φ c ) 3 only has a non-zero value for the case a = b = c. 6 The magnitudes and phases of flavons are discussed in Appendix A.…”

“…S 4 is one of the popular groups that are adopted as symmetries of the flavour sector in the literature. It has been used to reproduce the tribimaximal (TB) mixing [3,4,5,6,7], bimaximal (BM) mixing [8,9,10] and trimaximal (TM) mixing [11,12,13,14], and is combined with CP symmetry to give realistic mixing predictions [15,16,17]. Among many discrete groups used for model building, S 4 exceeds in being small and having three-dimensional irreducible representations.…”