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Title: Neutrino mixing matrix in the 3-3-1 model with heavy leptons and A{sub 4} symmetry

Abstract

We study the lepton sector in the model based on the local gauge group SU(3){sub c}xSU(3){sub L}xU(1){sub X}, which does not contain particles with exotic electric charges. The seesaw mechanism and discrete A{sub 4} symmetry are introduced into the model to help us understand why neutrinos are especially light and have the observed pattern of neutrino mixing. The model provides a method for obtaining the tribimaximal mixing matrix in the leading order. A nonzero mixing angle V{sub e3} is presented in the modified mixing matrix.

Authors:
 [1]
  1. Institute of Theoretical Physics, Chinese Academy of Science, Post Office Box 2735, Beijing 100080 (China)
Publication Date:
OSTI Identifier:
21020247
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.073010; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRIC CHARGES; HEAVY LEPTONS; MATRICES; NEUTRINO OSCILLATION; NEUTRINOS; SU-3 GROUPS; SYMMETRY; U-1 GROUPS; WEINBERG ANGLE

Citation Formats

Yin Furong. Neutrino mixing matrix in the 3-3-1 model with heavy leptons and A{sub 4} symmetry. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.073010.
Yin Furong. Neutrino mixing matrix in the 3-3-1 model with heavy leptons and A{sub 4} symmetry. United States. doi:10.1103/PHYSREVD.75.073010.
Yin Furong. Sun . "Neutrino mixing matrix in the 3-3-1 model with heavy leptons and A{sub 4} symmetry". United States. doi:10.1103/PHYSREVD.75.073010.
@article{osti_21020247,
title = {Neutrino mixing matrix in the 3-3-1 model with heavy leptons and A{sub 4} symmetry},
author = {Yin Furong},
abstractNote = {We study the lepton sector in the model based on the local gauge group SU(3){sub c}xSU(3){sub L}xU(1){sub X}, which does not contain particles with exotic electric charges. The seesaw mechanism and discrete A{sub 4} symmetry are introduced into the model to help us understand why neutrinos are especially light and have the observed pattern of neutrino mixing. The model provides a method for obtaining the tribimaximal mixing matrix in the leading order. A nonzero mixing angle V{sub e3} is presented in the modified mixing matrix.},
doi = {10.1103/PHYSREVD.75.073010},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}
  • In this study, I propose a model of radiative charged-lepton and neutrino masses with A 4 symmetry. The soft breaking of A 4 to Z 3 lepton triality is accomplished by dimension-three terms. The breaking of Z 3 by dimension-two terms allows cobimaximal neutrino mixing (θ 13 ≠ 0, θ 23 = π/4, δ cp=π/2) to be realized with only very small finite calculable deviations from the residual Z 3 lepton triality. This construction solves a long-standing technical problem inherent in renormalizable A 4 models since their inception.
  • In the S/sub 4/ model, we work out the simplest possible scheme for neutrino masses. We find that ..nu../sub e/ and ..nu../sub ..mu../ have dominant massless components but not ..nu../sub tau/. The mixing matrix is completely determined and ..nu../sub e/-..nu../sub tau/ and ..nu../sub ..mu../-..nu../sub tau/ oscillations are possible with known mixing angles and only one deltam/sup 2/.
  • In the supersymmetric seesaw model of neutrino masses, augmented by the non-Abelian discrete tetrahedral symmetry A{sub 4}, a specific pattern of neutrino mixing is automatically generated if one of the three heavy singlet neutrino superfields acquires a nonzero vacuum expectation value. This pattern turns out to be exactly that of tribimaximal mixing, i.e. sin{sup 2}{theta}{sub 23}=1/2, sin{sup 2}{theta}{sub 12}=1/3, and sin{sup 2}{theta}{sub 13}=0, in good agreement with data.
  • We analyze all possible extensions of the recently proposed minimal renormalizable SUSY SU(5) grand unified model with the inclusion of an additional A{sub 4} flavor symmetry. We find that there are five possible cases but only one of them is phenomenologically interesting. We develop in detail such case and we show how the fermion masses and mixing angles come out. As a prediction we obtain the neutrino masses of order of 0.1 eV with an inverted hierarchy.
  • 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){sub 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 accommodatemore » the hierarchical spectrum of masses and mixing in the quark sector as well as the charged lepton masses. The lepton mixing matrix, V{sub PMNS}, is written completely in terms of the neutrino masses m{sub 1}, m{sub 2}, and m{sub 3}. Large lepton mixing for {theta}{sub 12} and {theta}{sub 23} is predicted in the range of values 0.7 < or approx. sin{sup 2}2{theta}{sub 12} < or approx. 0.7772 and 0.87 < or approx. sin{sup 2}2{theta}{sub 23} < or approx. 0.9023 by using 0.033 < or approx. s{sub 13}{sup 2} < or approx. 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{sub sol}{sup 2} bounds, neutrino masses are predicted in the range of values m{sub 1}{approx_equal}(1.706-2.494)x10{sup -3} eV, m{sub 2}{approx_equal}(6.675-12.56)x10{sup -3} eV, and m{sub 3}{approx_equal}(1.215-2.188)x10{sup -2} eV, respectively. The above allowed lepton mixing leads to the quark-lepton complementary relations {theta}{sub 12}{sup CKM}+{theta}{sub 12}{sup PMNS}{approx_equal}41.543 deg. -44.066 deg. and {theta}{sub 23}{sup CKM}+{theta}{sub 23}{sup PMNS}{approx_equal}36.835 deg. -38.295 deg. The new exotic scalar particles induce flavor changing neutral currents and contribute to lepton flavor violating processes such as E{yields}e{sub 1}e{sub 2}e{sub 3}, to radiative rare decays, {tau}{yields}{mu}{gamma}, {tau}{yields}e{gamma}, {mu}{yields}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.« less