4.7 Article

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

Journal

PHYSICAL REVIEW D
Volume 76, Issue 9, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.76.093006

Keywords

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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 less than or similar to sin(2)2 theta(12)less than or similar to 0.7772 and 0.87 less than or similar to sin(2)2 theta(23)less than or similar to 0.9023 by using 0.033 less than or similar to s(13)(2)less than or similar to 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(sol)(2) bounds, neutrino masses are predicted in the range of values m(1)approximate to(1.706-2.494)x10(-3) eV, m(2)approximate to(6.675-12.56)x10(-3) eV, and m(3)approximate to(1.215-2.188)x10(-2) eV, respectively. The above allowed lepton mixing leads to the quark-lepton complementary relations theta(CKM)(12)+theta(PMNS)(12)approximate to 41.543 degrees-44.066 degrees and theta(CKM)(23)+theta(PMNS)(23)approximate to 36.835 degrees-38.295 degrees. The new exotic scalar particles induce flavor changing neutral currents and contribute to lepton flavor violating processes such as E -> e(1)e(2)e(3), to radiative rare decays, tau ->mu gamma, tau -> e gamma, mu -> e gamma, as well as to the anomalous magnetic moments of fermions. I give general analytical expressions for the branching ratios of these rare decays and for the anomalous magnetic moments for charged leptons.

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