A supersymmetricSU(5)×T′unified model of flavor with largeθ13

Abstract

We present a SUSY SUð5Þ Â T 0 unified flavor model with type I seesaw mechanism of neutrino mass generation, which predicts the reactor neutrino angle to be 13 % 0:14 close to the recent results from the Daya Bay and RENO experiments. The model predicts also values of the solar and atmospheric neutrino mixing angles, which are compatible with the existing data. The T 0 breaking leads to tribimaximal mixing in the neutrino sector, which is perturbed by sizeable corrections from the charged lepton sector. The model exhibits geometrical CP violation, where all complex phases have their origin from the complex Clebsch-Gordan coefficients of T 0 . The values of the Dirac and Majorana CP violating phases are predicted. For the Dirac phase in the standard parametrization of the neutrino mixing matrix we get a value close to 90 : ffi =2 À 0:45 c ffi 84:3 , c being the Cabibbo angle. The neutrino mass spectrum can be with normal ordering (2 cases) or inverted ordering. In each case the values of the three light neutrino masses are predicted with relatively small uncertainties, which allows one to get also unambiguous predictions for the neutrinoless double beta decay effective Majorana mass.

Large θ 13 in a SUSY SU(5) × T′ model

“…The goal would then be to include a mechanism that raises the predicted value of θ 13 , which is the subject of this letter. Such efforts have been considered before; in a different SU (5) × T GUT model it has been demonstrated that one can preserve TBM in the neutrino sector by modifying the mixing in the charged lepton sector to generate an appropriate θ 13 [29]. In this letter, we take a different approach and introduce one more singlet scalar field coupling to the neutrino sector.…”

“…In light of the discovery of a large θ 13 , various models based on discrete family symmetries, such as A 4 [24][25][26][27], S 4 [28], T [29] and A 5 [30] have been revisited lately, and more examples can be found in the review [31]. It has been pointed out [32] [7].…”

Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting

“…Due to this, new Clebsch-Gordan (CG) factors appear as Yukawa coupling ratios, with interesting associated implications for the masses and mixing of the fermions, cf. [12,13] and [14][15][16][17]. The main goal of this paper is to show how GUT flavour models featuring these promising quark-lepton mass relations can be combined with a version of the DMPM for solving the DTS problem.…”

“…[15][16][17]. By introducing pairs of heavy messengers in the SU(5) representations R andR, the renormalizable couplings associated with the effective operators are specified and a unique contraction of SU (5) indices of the effective operator is obtained simply by integrating out the messenger fields.…”

Generalised CP and Δ(6n 2) family symmetry in semi-direct models of leptons

“…The interplay between flavor symmetries and CP symmetries has been generally discussed in [40,41]. In addition, there are other theoretical approaches involving both family symmetry and CP violation [42][43][44][45][46][47][48][49][50][51][52][53].…”