Fermion masses and neutrino mixing in an U(1)_H flavor symmetry model with hierarchical radiative generation for light charged fermion masses

Abstract

I report the analysis performed on fermion masses and mixing, including neutrino mixing, within the context of a model with hierarchical radiative mass generation mechanism for light charged fermions, mediated by exotic scalar particles at one and two loops, respectively, meanwhile the neutrinos get Majorana mass terms at tree level through the Yukawa couplings with two SU(2)_L Higgs triplets. All the resulting mass matrices in the model, for the u, d, and e fermion charged sectors, the neutrinos and the exotic scalar particles, are diagonalized in exact analytical form. Quantitative analysis shows that this model is successful to accommodate the hierarchical spectrum of masses and mixing in the quark sector as well as the charged lepton masses. The lepton mixing matrix, V_{PMNS}, is written completely in terms of the neutrino masses m_1, m_2, and m_3. Large lepton mixing for \theta_{12} and \theta_{23} is predicted in the range of values 0.7 \lesssim \sin^22\theta_{12}\lesssim 0.7772 and 0.87 \lesssim \sin^22\theta_{23} \lesssim 0.9023 by using 0.033 \lesssim s_{13}^2 \lesssim 0.04. These values for lepton mixing are consistent with 3 \sigma allowed ranges provided by recent global analysis of neutrino data oscillation. From \Delta m_{\text{sol}}^2 bounds, neutrino masses are predicted in the range of values m_1 \thickapprox (1.706 - 2.494) x 10^{- 3} eV, m_2 \thickapprox (6.675 - 12.56) x 10^{- 3} eV, and m_3 \thickapprox (1.215 - 2.188) x 10^{- 2} eV, respectively. The above allowed lepton mixing leads to the quak-lepton complementary relations \theta_{12}^{CKM} + \theta_{12}^{PMNS} \thickapprox 41.543^{\circ} - 44.066^{\circ} and \theta_{23}^{CKM}+\theta_{23}^{PMNS}\thickapprox 36.835^{\circ} - 38.295^{\circ}.