Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$

Abstract

If left-right gauge theory occurs as an intermediate symmetry in a GUT then, apart from other advantages, it is possible to obtain the see-saw scale necessary to understand small neutrino masses with Majorana coupling of order unity. Barring threshold or non-renormalizable gravitational effects, or assumed presence of additional light scalar particles of unprescribed origin, all other attempts to achieve manifest one-loop gauge coupling unification in SUSY SO(10) with left-right intermediate symmetry have not been successful so far. Attributing this failure to lack of flavor symmetry in the GUT, we show how the spontaneous symmetry breaking of $SO(10)\times S_4$ leads to such intermediate scale extending over a wide range, $M_R\simeq 5\times 10^9$ GeV to $10^{15}$ GeV. All the charged fermion masses are fitted at the see-saw scale, $M_N\simeq M_R\simeq 4\times 10^{13}$ GeV which is obtained with Majorana coupling $f_0\simeq 1$. Using a constrained parametrization in which CP-violation originates only from quark sector, besides other predictions made in the neutrino sector, the reactor mixing angle is found to be ${\theta }_{13}\simeq 3^{\circ }-5^{\circ }$ which is in the range accessible to ongoing and planned experiments. The leptonic Dirac phase turns out to be $\delta \sim 2.9-3.1$ radians with Jarlskog invariant $J\sim 2.95\times 10^{-5}-10^{-3}$.

arXiv commentMinor clarification and few references added to match the published version

References in corpus (86)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Status of global fits to neutrino oscillations
• Final Results from phase II of the Mainz Neutrino Mass Search in Tritium $\beta$ Decay
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Theory of Neutrinos: A White Paper
• Predictive Neutrino Spectrum in Minimal $SO(10)$ Grand Unification
• Proton stability in grand unified theories, in strings, and in branes
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• The Igex 76ge Neutrinoless Double-Beta Decay Experiment: Prospects for Next Generation Experiments
• Uncertainties in Coupling Constant Unification
• Fermion masses, neutrino oscillations, and proton decay in the light of SuperKamiokande
• b-tau unification and large atmospheric mixing: a case for non-canonical see-saw
• The minimal supersymmetric grand unified theory
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• Minimal SUSY SO(10), b-$\tau$ unification and large neutrino mixings
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• Minimal SUSY SO(10) model and predictions for neutrino mixings and leptonic CP violation
• A different see-saw formula for neutrino masses
• The minimal supersymmetric grand unified theory: I. symmetry breaking and the particle spectrum
• A model for fermion masses and lepton mixing in SO(10) x A4
• Neutrino Masses and Mixings in a Minimal SO(10) Model
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• SO(10) Group Theory for the Unified Model Building
• Fermion masses in SUSY SO(10) with type II seesaw: a non-minimal predictive scenario
• High scale mixing unification and large neutrino mixing angles
• New Formulas and Predictions for Running Fermion Masses at Higher Scales in SM, 2HDM, and MSSM
• Quark Masses and Mixing with A4 Family Symmetry
• An SO(10)XS-4 Scenario for Naturally Degenerate Neutrinos
• Leptogenesis, $\mu -\tau$ Symmetry and ${\theta }_{13}$
• Suppressing Proton Decay in the Minimal SO(10) Model
• Leptogenesis and $\mu -\tau$ symmetry
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Neutrino Mixing Predictions of a Minimal SO(10) Model with Suppressed Proton Decay
• Neutrino Masses and Mixings in a Predictive SO(10) Model with CKM CP Violation
• SO(10) a la Pati-Salam
• General Formulation for Proton Decay Rate in Minimal Supersymmetric SO(10) GUT
• Generation of large flavor mixing from radiative corrections
• On CP Violation in Minimal Renormalizable SUSY SO(10) and Beyond
• CKM CP Violation in a Minimal SO(10) Model for Neutrinos and Its Implications
• SO(10) Symmetry Breaking and Type II Seesaw
• Proton Decay in a Minimal SUSY SO(10) Model for Neutrino Mixings
• Grand unification of $\mu -\tau$ Symmetry
• Predictions for Proton Lifetime in Minimal Non-Supersymmetric SO(10) Models: An Update
• Fermion masses and mixings in a renormalizable SO(10) x Z_2 GUT
• Radiative magnification of neutrino mixings and a natural explanation of the neutrino anomalies
• Fermion Mass Generation in SO(10) with a Unified Higgs Sector
• SO(10) Grand Unification with a Low-Energy $M_R$
• Higgs Masses in the Minimal SUSY SO(10) GUT
• From Double Chooz to Triple Chooz - Neutrino Physics at the Chooz Reactor Complex
• Detailed Analysis of Proton Decay Rate in the Minimal Supersymmetric SO(10) Model
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Leptogenesis and Neutrino Oscillations Within A Predictive G(224)/SO(10)-Framework
• Mapping out SU(5) GUTs with non-Abelian discrete flavor symmetries
• A Prediction from the Type III See-saw Mechanism
• Neutrino Mixings and Leptonic CP Violation from CKM Matrix and Majorana Phases
• Low Intermediate Scales for Leptogenesis in Supersymmetric SO(10) Grand Unified Theories
• Threshold Effects on Quasi-degenerate Neutrinos with High-scale Mixing Unification
• An SO(10) GUT Model With Lopsided Mass Matrix and Neutrino Mixing Angle theta_13
• Family Unification, Exotic States and Light Magnetic Monopoles
• Broken Flavor 2 <-> 3 Symmetry and phenomenological approach for universal quark and lepton mass matrices
• Proton Decay and Flavor Violating Thresholds in SO(10) Models
• Physics of Neutrino Mass
• Neutrino mass bounds from cosmology
• Pinning down the New Minimal Supersymmetric GUT
• Intermediate Scales in SUSY SO(10), b-τunification and Hot Dark Matter Neutrinos
• Leptogenesis in Realistic SO(10) Models
• Radiative Magnification of Neutrino Mixings in Split Supersymmetry
• Possible Candidates for SUSY SO(10) Model with an Intermediate Scale
• Vanishing corrections on the intermediate scale and implications for unification of forces
• Family Unification with SO(10)
• Left-Right Symmetry and Supersymmetric Unification
• Tying in CP and Flavor Violations with Fermion Masses and Neutrino Oscillations
• Natural Realizations of Seesaw in Mini-Warped Minimal SO(10)
• Quark masses and mixings in E6 x S3 : a montecarlo approach
• Unifiable Supersymmetric Left-Right Model with E_6 Particle Content
• High scale perturbative gauge coupling in R-parity conserving SUSY SO(10) with longer proton lifetime
• Flavor Physics in SO(10) GUTs with Suppressed Proton decay Due to Gauged Discrete Symmetry
• SU(4)_C X SU(2)_L X SU(2)_R Models With C-parity
• Lepton family symmetries for neutrino masses and mixing

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• Symmetryless Dark Matter
• Testing Flavor Symmetries by B-Factory
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• LHC probes of TeV-scale scalars in $\mathrm{SO}(10)$ grand unification
• Unification Predictions With or Without Supersymmetry
• Singlet Fermion Assisted Dominant Seesaw with Lepton Flavor and Number Violations and Leptogenesis
• Neutrino mass and grand unification of flavor
• SU(5) unification of two triplet seesaw and leptogenesis with dark matter and vacuum stability
• Goldstone Modes in Renormalizable Supersymmetric SO(10) Model