Tribimaximal mixing in the SU(5)×T13 texture

We extend the recently proposed $SU(5)\ifmmode\times\else\texttimes\fi{}{\mathcal{T}}_{13}$ 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 ${m}_{{\ensuremath{\nu}}_{1}}=27.6\text{ }\text{ }\mathrm{meV}$, ${m}_{{\ensuremath{\nu}}_{2}}=28.9\text{ }\text{ }\mathrm{meV}$ and ${m}_{{\ensuremath{\nu}}_{3}}=57.8\text{ }\text{ }\mathrm{meV}$. 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 $\overline{)CP}$ Jarlskog-Greenberg invariant to be $|\mathcal{J}|=0.028$, consistent with the current Particle Data Group (PDG) estimate, and Majorana invariants $|{\mathcal{I}}_{1}|=0.106$ and $|{\mathcal{I}}_{2}|=0.011$. A sign ambiguity in the model parameters leads to two possibilities for the invariant mass parameter $|{m}_{\ensuremath{\beta}\ensuremath{\beta}}|$: 13.02 or 25.21 meV, both within an order of magnitude of the most rigorous experimental upper limit (61--165 meV).