Bounds on the Neutrino Mixing Angles and CP Phase for an SO(10) Model with Lopsided Mass Matrices

Abstract

The bounds on the neutrino mixing angles and CP Dirac phase for an SO(10) model with lopsided mass matrices, arising from the presence of ${16}_H$ and ${\overline{16}}_H$ Higgs representations, are studied by variation of the one real and three unknown complex input parameters for the right-handed Majorana neutrino mass matrix. The scatter plots obtained favor nearly maximal atmospheric neutrino mixing, while the reactor neutrino mixing lies in the range $10^{-5} \lsim \sin^2 θ_{13} \lsim 1 \times 10^{-2}$ with values greater than $10^{-3}$ most densely populated. A rather compelling scenario within the model follows, if we restrict the three unknown complex parameters to their imaginary axes and set two of them equal. We then find the scatter plots are reduced to narrow bands, as the mixing angles and CP phase become highly correlated and predictive. The bounds on the mixing angles and phase then become $0.45 \lsim \sin^2 θ_{23} \lsim 0.55$, $0.38 \lsim \tan^2 θ_{12} \lsim 0.50$, $0.002 \lsim \sin^2 θ_{13} \lsim 0.003$, and $60^\circ \lsim \pm δ_{CP} \lsim 85^\circ$. Moreover, successful leptogenesis and subsequent baryogenesis are also obtained, with ${\eta }_B$ increasing from $(2.7to6.3)\times 10^{-10}$ as ${\sin }^2{\theta }_{23}$ increases from 0.45 to 0.55.

23 pages, 5 sets of scatterplots, successful leptogenesis with strongly correlated neutrino mixing parameters, published version with added references

References in corpus (12)

• Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
• Running Neutrino Mass Parameters in See-Saw Scenarios
• Update on the Direct Detection of Supersymmetric Dark Matter
• Massive Neutrinos and Flavour Violation
• Indirect Sensitivities to the Scale of Supersymmetry
• Neutrino Masses and Mixings in a Predictive SO(10) Model with CKM CP Violation
• Flavor Symmetry L_e - L_mu - L_tau, Atmospheric Neutrino Mixing and CP Violation in the Lepton Sector
• Softly broken lepton number L_e - L_μ- L_τwith non-maximal solar neutrino mixing
• Lepton Flavor Violating Decays, Soft Leptogenesis and SUSY SO(10)
• Normal vs. Inverted Hierarchy in Type I Seesaw Models
• Physics of Neutrino Mass
• On Power and Complementarity of the Experimental Constraints on Seesaw Models

Cited by in corpus (12)

• The See-Saw Mechanism, Neutrino Yukawa Couplings, LFV Decays l_i to l_j + gamma and Leptogenesis
• Model Predictions for Neutrino Oscillation Parameters
• An SO(10) GUT Model With Lopsided Mass Matrix and Neutrino Mixing Angle theta_13
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Leptogenesis in Realistic SO(10) Models
• Lepton Flavor Violation in Predictive Supersymmetric GUT Models
• A Comment on the Measurement of Neutrino Masses in Beta-Decay Experiments
• alpha ~ pi/2 from supersymmetric spontaneous flavor breaking
• Higher-dimensional operators in SUSY SO(10) GUT models
• Inverted neutrino mass hierarchies from U(1) symmetries
• Atmospheric Neutrino Mixing and b-s Transitions: Testing Lopsided SO(10) Flavor Structure in B physics