A Minimal Non-Supersymmetric $SO(10)$ Model: Gauge Coupling Unification, Proton Decay and Fermion masses

Abstract

We present a minimal renormalizable non-supersymmetric SO(10) grand unified model with a symmetry breaking sector consisting of Higgs fields in the 54_H + 126_H + 10_H representations. This model admits a single intermediate scale associated with Pati-Salam symmetry along with a discrete parity. Spontaneous symmetry breaking, the unification of gauge couplings and proton lifetime estimates are studied in detail in this framework. Including threshold corrections self-consistently, obtained from a full analysis of the Higgs potential, we show that the model is compatible with the current experimental bound on proton lifetime. The model generally predicts an upper bound of few times 10^{35} yrs for proton lifetime, which is not too far from the present Super-Kamiokande limit of τ_p \gtrsim 1.29 \times 10^{34} yrs. With the help of a Pecci-Quinn symmetry and the resulting axion, the model provides a suitable dark matter candidate while also solving the strong CP problem. The intermediate scale, M_I \approx (10^{13}-10^{14}) GeV which is also the B-L scale, is of the right order for the right-handed neutrino mass which enables a successful description of light neutrino masses and oscillations. The Yukawa sector of the model consists of only two matrices in family space and leads to a predictive scenario for quark and lepton masses and mixings. The branching ratios for proton decay are calculable with the leading modes being p \rightarrow e^+ π^0 and p \rightarrow \overlineν π^+. Even though the model predicts no new physics within the reach of LHC, the next generation proton decay detectors and axion search experiments have the capability to pass verdict on this minimal scenario.

49 pages, 10 figures, Reference list has been updated

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Cited by in corpus (50)

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• Addressing the ${\mathbf{R}}_{D^{(\ast )}}$ anomalies with an ${\mathbf{S}}_1$ leptoquark from $\mathbf{SO}(10)$ grand unification
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• Monopoles, Strings and Gravitational Waves in Non-minimal Inflation
• Pseudo-Nambu-Goldstone Dark Matter Model Inspired by Grand Unification
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• Running of Fermion Observables in Non-Supersymmetric SO(10) Models
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• New Class of SO(10) Models for Flavor
• Left-right model with TeV fermionic dark matter and unification
• Phenomenology of GUT-inspired gauge-Higgs unification
• Heavier $W$ boson, dark matter and gravitational waves from strings in an $SO(10)$ axion model
• A Predictive $SO(10)$ Model
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• Several Problems in Particle Physics and Cosmology Solved in One SMASH
• Weakly-Interacting Massive Particles in Non-supersymmetric SO(10) Grand Unified Models
• Threshold effects in SO(10) models with one intermediate breaking scale
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• The Weinberg Angle and 5D RGE effects in a SO(11) GUT theory
• The ATLAS Diboson Resonance in Non-Supersymmetric SO(10)
• Realizing unification in two different SO(10) models with one intermediate breaking scale
• Axion model with the $\mathrm{SU}(6)$ unification
• Leptonic $CP$ Violation and Proton Decay in SUSY SO(10)
• Flavour Structure of GUTs and Uncertainties in Proton Lifetime Estimates
• Spontaneous proton decay and the origin of Peccei-Quinn symmetry
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Axions, WIMPs, proton decay and observable $r$ in $SO(10)$
• Pati-Salam Axion
• Threshold effects on prediction for proton decay in non-supersymmetric $E_6$ GUT with intermediate trinification symmetry
• Proton Lifetime Upper Bound in Non-SUSY SU(5) GUT
• Statistical significances and projections for proton decay experiments
• Unification of the four forces in the Spin(11,1) geometric algebra
• Toward Realistic Gauge-Higgs Grand Unification
• Theorem on vanishing contributions to ${\sin }^2{\theta }_W$ and intermediate mass scale in Grand Unified Theories with trinification symmetry
• Flavor Symmetries in the Yukawa Sector of Non-Supersymmetric SO(10): Numerical Fits Using Renormalization Group Running
• Flavour anomalies and dark matter assisted unification in $SO(10)$ GUT
• The E6 route to multicomponent dark matter
• SOSpin, a C++ library for Yukawa decomposition in SO(2N) models
• Inflation, Proton Decay, and Higgs-Portal Dark Matter in $SO(10)\times U(1{)}_{\psi }$
• LHC and dark matter implications of t-b-τ Yukawa unification in split SUSY GUTs
• Family Unification in $SO(16)$ Grand Unification
• Probing quark-lepton correlation in GUTs with high-precision neutrino measurements