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Title: Neutrino masses and mixings in a minimal SO (10) model

Abstract

We consider a minimal formulation of SO(10) grand unified theory wherein all the fermion masses arise from Yukawa couplings involving one 126 and one 10 of Higgs multiplets. It has recently been recognized that such theories can explain, via the type-II seesaw mechanism, the large {nu}{sub {mu}}-{nu}{sub {tau}} mixing as a consequence of b-{tau} unification at the grand unified theory scale. In this picture, however, the Cabibbo-Kobayashi-Maskawa quark-mixing matrix phase {delta} lies preferentially in the second quadrant, in contradiction with experimental measurements. We revisit this minimal model and show that the conventional type-I seesaw mechanism generates phenomenologically viable neutrino masses and mixings, while being consistent with Cabibbo-Kobayashi-Maskawa quark-mixing matrix CP violation. We also present improved fits in the type-II seesaw scenario and suggest fully consistent fits in a mixed scenario.

Authors:
 [1];  [1];  [2]
  1. Department of Physics, Oklahoma Center for High Energy Physics, Oklahoma State University, Stillwater, Oklahoma 74078 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
20774457
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.72.115003; (c) 2005 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; CP INVARIANCE; GRAND UNIFIED THEORY; HIGGS BOSONS; HIGGS MODEL; KOBAYASHI-MASKAWA MATRIX; MUON NEUTRINOS; NEUTRINO OSCILLATION; PARTICLE MULTIPLETS; QUARKS; REST MASS; SO-10 GROUPS; TAU NEUTRINOS

Citation Formats

Babu, K.S., Macesanu, C., and Department of Physics, Syracuse University, Syracuse, New York 13244-1130. Neutrino masses and mixings in a minimal SO (10) model. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.115003.
Babu, K.S., Macesanu, C., & Department of Physics, Syracuse University, Syracuse, New York 13244-1130. Neutrino masses and mixings in a minimal SO (10) model. United States. doi:10.1103/PhysRevD.72.115003.
Babu, K.S., Macesanu, C., and Department of Physics, Syracuse University, Syracuse, New York 13244-1130. Thu . "Neutrino masses and mixings in a minimal SO (10) model". United States. doi:10.1103/PhysRevD.72.115003.
@article{osti_20774457,
title = {Neutrino masses and mixings in a minimal SO (10) model},
author = {Babu, K.S. and Macesanu, C. and Department of Physics, Syracuse University, Syracuse, New York 13244-1130},
abstractNote = {We consider a minimal formulation of SO(10) grand unified theory wherein all the fermion masses arise from Yukawa couplings involving one 126 and one 10 of Higgs multiplets. It has recently been recognized that such theories can explain, via the type-II seesaw mechanism, the large {nu}{sub {mu}}-{nu}{sub {tau}} mixing as a consequence of b-{tau} unification at the grand unified theory scale. In this picture, however, the Cabibbo-Kobayashi-Maskawa quark-mixing matrix phase {delta} lies preferentially in the second quadrant, in contradiction with experimental measurements. We revisit this minimal model and show that the conventional type-I seesaw mechanism generates phenomenologically viable neutrino masses and mixings, while being consistent with Cabibbo-Kobayashi-Maskawa quark-mixing matrix CP violation. We also present improved fits in the type-II seesaw scenario and suggest fully consistent fits in a mixed scenario.},
doi = {10.1103/PhysRevD.72.115003},
journal = {Physical Review. D, Particles Fields},
number = 11,
volume = 72,
place = {United States},
year = {Thu Dec 01 00:00:00 EST 2005},
month = {Thu Dec 01 00:00:00 EST 2005}
}
  • A supersymmetric SO(10)xA{sub 4} grand unified theory model is constructed for fermion masses and mixing by introducing a minimal set of low dimensional Higgs representations needed to break the gauge symmetry down to SU(3){sub c}xU(1){sub em}. The hierarchy of fermion masses can be understood in the framework of A{sub 4} symmetry. From the A{sub 4}-invariant superpotential, the 'double lopsided' mass matrices for the charged leptons and the down quarks are obtained. It is shown that this structure simultaneously leads to bi-large neutrino mixings and small Cabibbo-Kobayashi-Maskawa mixing angles. An excellent fit to the masses and mixings of the quarks andmore » leptons as well as to the CP violation parameter is obtained. Moreover, the model predicts the neutrino mixing angle sin{theta}{sub 13}{approx_equal}0.15.« less
  • The mass matrices of the charged leptons and neutrinos, that had been derived in the framework of a Minimal S3-invariant Extension of the Standard Model, are here reparametrized in terms of their eigenvalues. The neutrino mixing matrix, VPMNS, is then computed and exact, explicit analytical expressions for the neutrino mixing angles as functions of the masses of the neutrinos and charged leptons are obtained. The reactor, {theta}13, and the atmosferic, {theta}23, mixing angles are found to be functions only of the masses of the charged leptons. The numerical values of {theta}{sub 13}{sup th} and {theta}{sub 23}{sup th} computed from ourmore » theoretical expressions are found to be in excellent agreement with the latest experimental determinations. The solar mixing angle, {theta}{sub 12}{sup th}, is found to be a function of both, the charged lepton and neutrino masses, as well as of a Majorana phase {phi}{nu}. A comparison of our theoretical expression for the solar angle {theta}{sub 12}{sup th} with the latest experimental value {theta}{sub 13}{sup exp} {approx_equal} 34 deg. allowed us to fix the scale and origin of the neutrino mass spectrum and obtain the mass values |m{nu}2| = 0.0507eV, |m{nu}1| = 0.0499eV and |m{nu}3| = 0.0193eV, in very good agreement with the observations of neutrino oscillations, the bounds extracted from neutrinoless double beta decay and the precision cosmological measurements of the CMB.« less
  • We present a detailed study of the quark and lepton mass spectra in a SO(10) framework with one 10{sub H} and one 126{sub H} Higgs representations in the Yukawa sector. We consider in full generality the interplay between type I and type II seesaw for neutrino masses. We first perform a {chi}{sup 2} fit of fermion masses independent on the structure of the GUT Higgs potential and determine the regions of the parameter space that are preferred by the fermion mass sum rules. We then apply our study to the case of the minimal renormalizable SUSY SO(10) GUT with onemore » 10{sub H}, one 126{sub H}, one 126{sub H}, and one 210{sub H} Higgs representations. By requiring that proton decay bounds are fulfilled we identify a very limited area in the parameter space where all fermion data are consistently reproduced. We find that in all cases gauge coupling unification in the supersymmetric scenario turns out to be severely affected by the presence of lighter than GUT (albeit B-L conserving) states. We then conclusively show that the minimal supersymmetric SO(10) scenario here considered is not consistent with data. The fit of neutrino masses with type I and type II seesaws within a renormalizable SO(10) framework strongly suggests a non-SUSY scenario for gauge unification.« less
  • Fermion masses and mixing angles are studied in an SUSY SO(10){times}{Delta}(48){times}U(1) model with small tan{beta}. Thirteen parameters involving masses and mixing angles in the quark and charged lepton sector are successfully predicted by a single Yukawa coupling and three ratios of VEV{close_quote}s caused by necessary symmetry breaking. Ten relations among the low energy parameters have been found with four of them free from renormalization modifications. They could be tested directly by low energy experiments. {copyright} {ital 1996 The American Physical Society.}
  • We propose an SO(10) × SO(10)' model to simultaneously realize a seesaw for Dirac neutrino masses and a leptogenesis for ordinary and dark matter-antimatter asymmetries. A (16 × 1-bar 6-bar '){sub H} scalar crossing the SO(10) and SO(10)' sectors plays an essential role in this seesaw-leptogenesis scenario. As a result of lepton number conservation, the lightest dark nucleon as the dark matter particle should have a determined mass around 15 GeV to explain the comparable fractions of ordinary and dark matter in the present universe. The (16 × 1-bar 6-bar '){sub H} scalar also mediates a U(1){sub em} × U(1)'{submore » em} kinetic mixing after the ordinary and dark left-right symmetry breaking so that we can expect a dark nucleon scattering in direct detection experiments and/or a dark nucleon decay in indirect detection experiments. Furthermore, we can impose a softly broken mirror symmetry to simplify the parameter choice.« less