A model of strongly coupled heavy vector resonances for fermion masses and mixings. A. E. C´ arcamo Hern´ andez, ∗ Jonatan Vignatti, † and Alfonso Zerwekh ‡ a Universidad T´ ecnica Federico Santa Mar´ ıa and Centro Cient´ ıfico-Tecnol´ ogico de Valpara´ ıso Casilla 110-V, Valpara´ ıso, Chile, (Dated: July 17, 2018) We build a viable and predictive extension of the SM with a heavy vector in the fundamental SU (2) L representation and nine SM singlet scalar fields, consistent with the current pattern of SM fermion masses and mixings. The masses of the light active neutrinos are generated from radiative seesaw mechanism at one loop level mediated by the neutral components of the heavy vector as well as by the left handed Majorana neutrinos. We carry out an analysis of the predictions in the lepton sector, where the model is only viable for inverted neutrino mass hierarchy. I. INTRODUCTION Despite its great consistency with the experimental data, the Standard Model (SM) is unable to explain several issues such as, for example, the number of fermion generations, the observed pattern of fermion masses and mixings, etc. Whereas in the quark sector, the mixing angles are small, in the lepton sector two of the mixing angles are large, and one mixing angle is small. Neutrino experiments have brought clear evidence of neutrino oscillations from the measured neutrino mass squared splittings. The three neutrino flavors mix and at least two of the neutrinos have non vanishing masses, which according to neutrino oscillation experimental data must be smaller than the SM charged fermion masses by many orders of magnitude. That SM “flavor puzzle” motivates to build models with additional scalars and fermions in their particle spectrum and with an extended gauge group, supplemented by discrete flavour symmetries, which are usually spontaneously broken, in order to generate the observed pattern of SM fermion masses and mixing angles. Recent reviews of discrete flavor groups can be found in Refs. [1–5]. Several discrete groups such as S 3 [6–31], A 4 [32–72], S 4 [73–90] , D 4 [91–99], Q 6 [100–110], T 7 [111–120], T 13 [121–124], T ′ [125–132], Δ(27) [133–154], Δ(54) [155], Δ(96) [156–158], Δ(6N 2 ) [159–161] and A 5 [162–173] have been implemented in extensions of the SM, to provide a nice description of the observed pattern of fermion masses and mixing angles. On the other hand, given the current lack of experimental evidence in favor of the traditional big paradigms of Physics beyond the Standard Model, it seems prudent to explore more exotic paths. In recent years, for instance, some groups have pay attention to spin-1 fields transforming in the fundamental representation of SU (2) L [174]. This kind of field may naturally appears, for instance, in models such as: Higgs-Gauge Unification[175] and Composite Higgs[176]. In this work we build an extension of the Standard Model (SM) where the SM gauge symmetry is supplemented by the S 3 × Z 2 × Z 6 × Z 8 × Z 12 discrete group and the particle content is extended to include nine SM scalars singlets, two left handed neutrinos N nL (n =1, 2), singlets under the SM gauge group and a SU (2) L doublet of heavy vectors. Our model is consistent with the SM fermion masses and mixings. The effective neutrino mass matrix arises through radiative seesaw and the physical observables of the lepton sector agree with their experimental values only for the scenario of inverted neutrino mass hierarchy. The paper is organized as follows. In section II we explain our model. In Sec. III we focus on the discussion of quark masses and mixing and give our corresponding results. In Sec. IV we discuss the implications of our model on lepton masses and mixings. We conclude in section V. Appendix A provides a concise description of the S 3 discrete group. ∗ Electronic address: antonio.carcamo@usm.cl † Electronic address: jonatan.vignatti@sansano.usm.cl ‡ Electronic address: alfonso.zerwekh@usm.cl arXiv:1807.05321v1 [hep-ph] 14 Jul 2018