Model for fermion masses and lepton mixing in S O ( 10 ) × A 4

In the light of recent experimental results on θ pmns 13, we re-investigate the complementarity between the quark and lepton mixing matrices and obtain predictions for most unsettled neutrino mixing parameters like θ pmns 23 and CP violating phase invariants J, S 1 and S 2 . This paper is motivated by our previous work where in a QLC model we predicted the value for θ pmns 13 = (9 +1 −2 ) • , which was found to be in strong agreement with the experimental results. In the QLC model the non-trivial correlation between CKM and PMNS mixing matrices is given by a correlation matrix (V c ). We do numerical simulation and estimate the texture of the V c and in our findings we get a small deviation from the Tri-Bi-Maximal (TBM) texture and a large from the Bi-Maximal one, which is consistent with the work already reported in literature. In the further investigation we obtain quite constrained limits for sin 2 θ pmns 23 = 0.4235 +0.0032 −0.0043 that is narrower to the existing ones. We also obtain the constrained limits for the three CP violating phase invariants J, S 1 and S 2 : as J < 0.0315, S 1 < 0.12 and S 2 < 0.08, respectively.

Section: Jhep07(2016)075mentioning

confidence: 99%

Quark-lepton complementarity predictions for θ 23 pmns and CP violation

Sharma

Chauhan

2016

“…Concerning the case of the flavour GUT models [129][130][131][132][133][134][135] that predicts the TB mixing in the lepton sector, the combinations of the constraints arising by the flavour symmetry and by the GUT group lead to wrong predictions for the fermion masses and mixings. The problem is usually avoided by recurring to non-minimal Higgs or flavon field content and by assuming peculiar symmetry breaking patterns of the GUT gauge symmetry and ascribing quite often at type-II See-Saw as the origin of the neutrino masses.…”

Section: Jhep08(2010)001mentioning

confidence: 99%

The interplay between GUT and flavour symmetries in a Pati-Salam × S4 model

Toorop

Bazzocchi

Merlo

2010

Both Grand Unified symmetries and discrete flavour symmetries are appealing ways to describe apparent structures in the gauge and flavour sectors of the Standard Model. Both symmetries put constraints on the high energy behaviour of the theory. This can give rise to unexpected interplay when building models that possess both symmetries. We investigate on the possibility to combine a Pati-Salam model with the discrete flavour symmetry S 4 that gives rise to quark-lepton complementarity. Under appropriate assumptions at the GUT scale, the model reproduces fermion masses and mixings both in the quark and in the lepton sectors. We show that in particular the Higgs sector and the running Yukawa couplings are strongly affected by the combined constraints of the Grand Unified and family symmetries. This in turn reduces the phenomenologically viable parameter space, with high energy mass scales confined to a small region and some parameters in the neutrino sector slightly unnatural. In the allowed regions, we can reproduce the quark masses and the CKM matrix. In the lepton sector, we reproduce the charged lepton masses, including bottom-tau unification and the Georgi-Jarlskog relation as well as the two known angles of the PMNS matrix. The neutrino mass spectrum can present a normal or an inverse hierarchy, and only allowing the neutrino parameters to spread into a range of values between λ −2 and λ 2 , with λ ≃ 0.2. Finally, our model suggests that the reactor mixing angle is close to its current experimental bound.

“…[165] we have studied the 3-3-1 model with neutral fermions based on S 4 group, in which most of the Higgs multiplets are in triplets under S 4 except χ lying in JHEP04(2014)133 a singlet, 1 and the exact tribimaximal form [3][4][5][6] is obtained, where θ 13 = 0. As we know, the recent considerations have implied θ 13 = 0 [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], but small as given in (1.2). This problem has been improved in this type of the model in ref.…”

Section: Jhep04(2014)133mentioning

confidence: 99%

“…This has stimulated work on flavor symmetries and non-Abelian discrete symmetries are considered to be the most attractive candidate to formulate dynamical principles that can lead to the flavor mixing patterns for quarks and lepton. There are many recent models based on the nonAbelian discrete symmetries, such as A 4 [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]34], A 5 [35][36][37][38][39][40][41][42][43][44][45][46][47], S 3 , S 4 , D 4 [117][118][119][120][121][122][123][124][125][126][127][128], D 5 [129,130], T ′ [131][132]...…”

Section: Jhep04(2014)133mentioning

confidence: 99%

The T 7 flavor symmetry in 3-3-1 model with neutral leptons

Vien

Long²

2014

We construct a 3-3-1 model based on non-Abelian discrete symmetry T 7 responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets 3 and 3 * under T 7 . The flavor mixing patterns and mass splitting are obtained without perturbation. The tribimaximal form obtained with the breaking T 7 → Z 3 in charged lepton sector and both T 7 → Z 3 and Z 3 → {Identity} must be taken place in neutrino sector but only apart in breakings Z 3 → {Identity} (without contribution of σ ′ ), and the upper bound on neutrino mass 3 i=1 m i at the level is presented. The Dirac CP violation phase δ is predicted to either π 2 or 3π 2 which is maximal CP violation. From the Dirac CP violation phase we obtain the relation between Euler's angles which is consistent with the experimental in PDG 2012. On the other hand, the realistic lepton mixing can be obtained if both the direction for breakings T 7 → Z 3 and Z 3 → {Identity} are taken place in neutrino sectors. The CKM matrix is the identity matrix at the tree-level.