Tribimaximal mixing in the SU (5) × T13 texture

We extend the recently proposed SU (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 comple...

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Veröffentlicht in:Physical review. D 2020-04, Vol.101 (7), p.1
Hauptverfasser: Pérez, M Jay, Rahat, Moinul Hossain, Ramond, Pierre, Stuart, Alexander J, Xu, Bin
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Sprache:eng
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Zusammenfassung:We extend the recently proposed SU (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 ν 1 = 27.6 meV , mν2 = 28.9 meV and mν3 = 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 | mββ| : 13.02 or 25.21 meV, both within an order of magnitude of the most rigorous experimental upper limit (61–165 meV).
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.075018