Tribimaximal mixing in the S U (5 )×T13 texture

We extend the recently proposed S U (5 )×T₁₃ model for the asymmetric texture to the up-type quark and seesaw sectors. The hierarchical up-type quark masses are generated from higher-dimensional operators involving family-singlet Higgses, gauge-singlet familons, and vectorlike messengers. The complex-tribimaximal seesaw mixing arises from the vacuum structure of a minimal number of familons, resulting in an alignment between the Yukawa and Majorana matrices of the seesaw formula. Introducing four right-handed neutrinos, normal ordering of the light neutrino masses is obtained, with m_ν1=27.6meV , m_{ν 2}=28.9 meV and m_{ν 3}=57.8 meV . Their sum almost saturates Planck's cosmological upper bound (120 meV). The right-handed neutrino masses are expressed in terms of two parameters for a particular choice of familon vacuum alignment. We predict the CP Jarlskog-Greenberg invariant to be |J |=0.028 , consistent with the current Particle Data Group (PDG) estimate, and Majorana invariants |I₁|=0.106 and |I₂|=0.011 . A sign ambiguity in the model parameters leads to two possibilities for the invariant mass parameter |m_{β β}|: 13.02 or 25.21 meV, both within an order of magnitude of the most rigorous experimental upper limit (61-165 meV).