SO(10) GUT in Four and Five Dimensions: A Review

Abstract

We review SO(10) grand unified theories (GUTs) in four and five dimensions (4D and 5D). The renormalizable minimal SO(10) SUSY GUT is the central theme of this review. It is very predictive and makes it possible to construct all mass matrices including those of the Dirac and heavy right-handed Majorana neutrinos. So it is not only able to reproduce all the low energy data, except for too larger ${\theta }_{13}$ in the lepton mixing angles (which can be evaded without spoiling the basic ingredients), but also predicts almost all new physics beyond the standard model (SM) like neutrinoless double beta decay, the electric and magnetic dipole moments of the quark-lepton, lepton flavour violation, leptogenesis etc. To be very predictive, on the other hand, implies that predictions are unambiguous and they are always exposed to severe compatibilities with observations as well as to a conceptual consistency check. The explicit construction of the Higgs superpotential and the explicit display of a symmetry breaking pattern from GUT to the SM show that the naive desert from the SM to GUT in the minimal supersymmetric standard model (MSSM) is a too simplified concept and we have many definitely determined intermediate energy scales in general. (The details should be referred to pdf.)

106pp

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• Solving problems of 4D minimal SO(10) model in a warped extra dimension
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• Natural Realizations of Seesaw in Mini-Warped Minimal SO(10)
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Cited by in corpus (19)

• Pseudo-Nambu-Goldstone Dark Matter Model Inspired by Grand Unification
• Twin Pati-Salam theory of flavour with a TeV scale vector leptoquark
• Gravitational waves from breaking of an extra $U(1)$ in $SO(10)$ grand unification
• Order and Anarchy hand in hand in 5D SO(10)
• The ATLAS Diboson Resonance in Non-Supersymmetric SO(10)
• Neutrino masses, the $\mu$-term and ${\mathcal{P}\mathcal{SL}}_2(7)$
• Bosonic structure of realistic SO(10) SUSY cosmic strings
• Confronting Four Zero Neutrino Yukawa Textures with $N_2^{}$-dominated Leptogenesis
• String-Inspired Special Grand Unification
• Simple mass matrices of neutrinos and quarks consistent with observed mixings and masses
• Alternative Renormalizable Minimal SO(10) GUTs and Data Fitting
• Neutrinoless Double Beta Decay and $<\eta >$ Mechanism in the Left-Right Symmetric Model
• A Stronger Case for Superunification Post Higgs Boson Discovery
• Flavour anomalies and dark matter assisted unification in $SO(10)$ GUT
• $USp(32)$ Special Grand Unification
• Filling the gaps between model predictions and their prerequisites in electric dipole moments
• Multimagnetic Monopoles
• A realistic pattern of fermion masses from a five-dimensional SO(10) model
• Tagging ultra-boosted jets at FCC-hh using machine learning techniques