Flavour structure of supersymmetric SO(10) GUTs with extended matter sector

Abstract

We discuss in detail the flavour structure of the supersymmetric SO(10) grand unified models with the three traditional 16-dimensional matter spinors mixed with a set of extra 10-dimensional vector multiplets which can provide the desired sensitivity of the SM matter spectrum to the GUT symmetry breakdown at the renormalizable level. We put the qualitative argument that a successful fit of the quark and lepton data requires an active participation of more than a single vector matter multiplet on a firm, quantitative ground. We find that the strict no-go obtained for the fits of the charged sector observables in case of a single active matter 10 is relaxed if a second vector multiplet is added to the matter sector and excellent, though non-trivial, fits can be devised. Exploiting the unique calculable part of the neutrino mass matrix governed by the SU(2)_L triplet in the 54-dimensional Higgs multiplet, a pair of genuine predictions of the current setting is identified: a non-zero value of the leptonic 1-3 mixing close to the current 90% C.L. limit and a small leptonic Dirac CP phase are strongly preferred by all solutions with the global-fit chi^2-values below 50.

Version published in PRD; minor changes w.r.to v2, 16 pages, 5 figures

References in corpus (13)

• Updated Values of Running Quark and Lepton Masses
• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• Minimal SO(10) splits supersymmetry
• Predictions from type II see-saw mechanism in SU(5)
• Unification versus proton decay in SU(5)
• A new, direct link between the baryon asymmetry and neutrino masses
• Inverse see-saw, leptogenesis, observable proton decay and ${\Delta }_{\mathrm{R}}^{\pm \pm }$ in SUSY SO(10) with heavy W_R
• Proton Decay and Flavor Violating Thresholds in SO(10) Models
• Pinning down the New Minimal Supersymmetric GUT
• Quark and lepton masses and mixing in SO(10) with a GUT-scale vector matter
• Type II see-saw dominance in SO(10)
• Family Unification with SO(10)
• CP Violation and Neutrino Masses and Mixings from Quark Mass Hierarchies

Cited by in corpus (3)

• Different SO(10) Paths to Fermion Masses and Mixings
• Yukawa coupling unification in SO(10) with positive μ and a heavier gluino
• Flavor Symmetries in the Yukawa Sector of Non-Supersymmetric SO(10): Numerical Fits Using Renormalization Group Running