Abstract
The extension of the Standard Model to SU(3) L × SU(3) R × SU(3) C (the trinification group) augmented by the SO(3) G flavor group is considered. In our phenomenological treatment partly known and partly proposed vacuum expectation values of the scalar Higgs fields play a dominant role. All Higgs fields are taken to be flavor singlets, all flavon fields trinification singlets. We need two flavor (generation) matrices. One determines the mass hierarchy of all fermions, the second one is responsible for all mixings including the CP-violating phase in the CKM matrix. The mixing with higher states contained in the group representation provides for an understanding of the difference between the up quark and the down quark spectrum. There is a close connection between charged and neutral fermions. An inverted neutrino hierarchy is predicted. Examples for the tree-level potential of the Higgs fields are given. To obtain an acceptable spectrum of scalar states, the construction of the potential requires the combination of matrix fields that differ with respect to fermion couplings and flavor-changing properties. As a consequence bosons with fermiophobic components or, alternatively, flavor-changing components are predicted in this model. Nevertheless, the Higgs boson at 125 GeV is very little different from the Standard Model Higgs boson in its couplings to fermions but may have self-coupling constants larger by a factor 2.
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References
N. Craig, The State of Supersymmetry after Run I of the LHC, arXiv:1309.0528 [INSPIRE].
Y. Achiman and B. Stech, in Advanced Summer Institute on New Phenomena in Lepton and Hadron Physics, D.E.C. Fries and J. Wess eds.,Plenum, New York (1979).
S.L. Glashow, in Fifth Workshop on Grand Unification, K. Kang, H. Fried and P. Frampton eds., World Scientific, Singapore (1984).
K.S. Babu, X.-G. He and S. Pakvasa, Neutrino Masses and Proton Decay Modes in SU(3) × SU(3) × SU(3) Trinification, Phys. Rev. D 33 (1986) 763 [INSPIRE].
F. Gursey, P. Ramond and P. Sikivie, A Universal Gauge Theory Model Based on E6, Phys. Lett. B 60 (1976) 177 [INSPIRE].
Y. Achiman and B. Stech, Quark Lepton Symmetry and Mass Scales in an E6 Unified Gauge Model, Phys. Lett. B 77 (1978) 389 [INSPIRE].
Q. Shafi, E 6 as a Unifying Gauge Symmetry, Phys. Lett. B 79 (1978) 301 [INSPIRE].
R. Barbieri, D.V. Nanopoulos and A. Masiero, Hierarchical Fermion Masses in E6, Phys. Lett. B 104 (1981) 194 [INSPIRE].
B. Stech and Z. Tavartkiladze, Fermion masses and coupling unification in E 6 : Life in the desert, Phys. Rev. D 70 (2004) 035002 [hep-ph/0311161] [INSPIRE].
B. Stech and Z. Tavartkiladze, Generation symmetry and E6 unification, Phys. Rev. D 77 (2008) 076009 [arXiv:0802.0894] [INSPIRE].
B. Stech, Neutrino Properties from E 6 × SO(3) × Z(2), Fortsch. Phys. 58 (2010) 692 [arXiv:1003.0581] [INSPIRE].
B. Stech, Flavor Symmetry and Grand Unification, arXiv:1012.6028 [INSPIRE].
B. Stech, The mass of the Higgs boson in the trinification subgroup of E6, Phys. Rev. D 86 (2012) 055003 [arXiv:1206.4233] [INSPIRE].
B. Stech, Degenerate states in the scalar boson spectrum. Is the Higgs Boson a Twin ?, arXiv:1303.6931 [INSPIRE].
J. Elias-Miro, J.R. Espinosa, G.F. Giudice, G. Isidori, A. Riotto et al., Higgs mass implications on the stability of the electroweak vacuum, Phys. Lett. B 709 (2012) 222 [arXiv:1112.3022] [INSPIRE].
M. Jamin, private communication.
G.L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo et al., Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP-violation searches, Phys. Rev. D 86 (2012) 013012 [arXiv:1205.5254] [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
Y. Grossman, Z. Surujon and J. Zupan, How to test for mass degenerate Higgs resonances, JHEP 03 (2013) 176 [arXiv:1301.0328] [INSPIRE].
MEG collaboration, J. Adam et al., New limit on the lepton-flavour violating decay μ + → e + γ, Phys. Rev. Lett. 107 (2011) 171801 [arXiv:1107.5547] [INSPIRE].
R. Harnik, J. Kopp and J. Zupan, Flavor Violating Higgs Decays, JHEP 03 (2013) 026 [arXiv:1209.1397] [INSPIRE].
Particle Data Group collaboration, J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].
S. Aoki, Y. Aoki, C. Bernard, T. Blum, G. Colangelo et al., Review of lattice results concerning low energy particle physics, arXiv:1310.8555 [INSPIRE].
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Stech, B. Trinification phenomenology and the structure of Higgs bosons. J. High Energ. Phys. 2014, 139 (2014). https://doi.org/10.1007/JHEP08(2014)139
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DOI: https://doi.org/10.1007/JHEP08(2014)139