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Fermion Mass and Mixing in a Simple Extension of the Standard Model Based on T7 Flavor Symmetry

  • Elementary Particles and Fields
  • Theory
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Abstract

We build a simple Standard Model extension based on T7 flavor symmetry which accommodates lepton mass, mixing with non-zero θ13, and CP violation phase. The lepton mixing matrix is obtained from three triplets and one singlet under T7 symmetry, and the charged-lepton mass is derived through the spontaneous symmetry breaking by just one T7 triplet (φ), while neutrinos get small masses from one SU(2) L doublet and two SU(2)L singlets in which one is in 1 and the two others are in 3 and 3* under T7, respectively. There exist viable parameters of the model that predict the effective Majorana neutrino mass with values mβ ≃ 10−2 eV and 4.95 × 10−2 eV as well as a lightest neutrino mass mlight ≃ 4.97 × 10−3 eV and 1.61 × 10−3 eV for the normal and inverted neutrino mass hierarchies, respectively. The model also gives a remarkable prediction of Dirac CP violation δCP ≃ 303.3° in the normal hierarchy and δCP ≃ 56.69° in the inverted hierarchy which is still missing in the neutrino mixing matrix. The quark mixing angles of the model are closed to the experimental data, whereas the obtained values for the quark masses are consistent with with the experimental data at the tree level.

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Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant no. 103.01-2017.341.

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Authors and Affiliations

  1. Theoretical Particle Physics and Cosmology Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    V. V. Vien

  2. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    V. V. Vien

  3. Institute of Physics, Vietnam Academy of Science and Technology, Ba Dinh, Hanoi, Vietnam

    H. N. Long

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  1. V. V. Vien
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Correspondence to V. V. Vien.

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Vien, V.V., Long, H.N. Fermion Mass and Mixing in a Simple Extension of the Standard Model Based on T7 Flavor Symmetry. Phys. Atom. Nuclei 82, 168–182 (2019). https://doi.org/10.1134/S1063778819020133

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