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 $J\sim 2.95\times 10^{-5}-10^{-3}$.

Minor clarification and few references added to match the published version

References in corpus (18)

• A model for fermion masses and lepton mixing in SO(10) x A4
• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Grand unification of $\mu -\tau$ Symmetry
• Fermion masses and mixings in a renormalizable SO(10) x Z_2 GUT
• Higgs Masses in the Minimal SUSY SO(10) GUT
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Mapping out SU(5) GUTs with non-Abelian discrete flavor symmetries
• Neutrino Mixings and Leptonic CP Violation from CKM Matrix and Majorana Phases
• Low Intermediate Scales for Leptogenesis in Supersymmetric SO(10) Grand Unified Theories
• Pinning down the New Minimal Supersymmetric GUT
• Proton Decay and Flavor Violating Thresholds in SO(10) Models
• Leptogenesis in Realistic SO(10) Models
• Family Unification with SO(10)
• Natural Realizations of Seesaw in Mini-Warped Minimal SO(10)
• 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

Cited by in corpus (3)

• The Unique Horizontal Symmetry of Leptons
• Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry