A Predictive and Testable Unified Theory of Fermion Masses, Mixing and Leptogenesis

Abstract

We consider a minimal non-supersymmetric $SO(10)$ Grand Unified Theory (GUT) model that can reproduce the observed fermionic masses and mixing parameters of the Standard Model. We calculate the scales of spontaneous symmetry breaking from the GUT to the Standard Model gauge group using two-loop renormalisation group equations. This procedure determines the proton decay rate and the scale of $U(1{)}_{B-L}$ breaking, which generates cosmic strings and the right-handed neutrino mass scales. Consequently, the regions of parameter space where thermal leptogenesis is viable are identified and correlated with the fermion masses and mixing, the neutrinoless double beta decay rate, the proton decay rate, and the gravitational wave signal resulting from the network of cosmic strings. We demonstrate that this framework, which can explain the Standard Model fermion masses and mixing and the observed baryon asymmetry, will be highly constrained by the next generation of gravitational wave detectors and neutrino oscillation experiments which will also constrain the proton lifetime.

38 pages, 10 figures, published version, preprint number corrected

References in corpus (21)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Updated Values of Running Quark and Lepton Masses
• The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background
• On the evidence for a common-spectrum process in the search for the nanohertz gravitational-wave background with the Parkes Pulsar Timing Array
• Cosmic String Interpretation of NANOGrav Pulsar Timing Data
• Common-red-signal analysis with 24-yr high-precision timing of the European Pulsar Timing Array: Inferences in the stochastic gravitational-wave background search
• Stochastic gravitational wave background from smoothed cosmic string loops
• Fermion Masses in SO(10) Models
• Gravitational waves and proton decay: complementary windows into GUTs
• Yukawa Sector of Minimal SO(10) Unification
• Different SO(10) Paths to Fermion Masses and Mixings
• Successful type I Leptogenesis with SO(10)-inspired mass relations
• Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
• Search for the Gravitational-wave Background from Cosmic Strings with the Parkes Pulsar Timing Array Second Data Release
• Fermion masses and mixings in a renormalizable SO(10) x Z_2 GUT
• ULYSSES: Universal LeptogeneSiS Equation Solver
• A renormalizable SO(10) GUT scenario with spontaneous CP violation
• Cosmic Strings, Inflation, and Gravity Waves
• Leptogenesis and fermion mass fit in a renormalizable $SO(10)$ model
• Leptogenesis in SO(10)
• Gravitational Waves from Quasi-stable Strings

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• Probing Minimal Grand Unification through Gravitational Waves, Proton Decay, and Fermion Masses
• Flipped SU(5): unification, proton decay, fermion masses and gravitational waves
• Cosmic string gravitational waves from global $U(1{)}_{B-L}$ symmetry breaking as a probe of the type I seesaw scale
• Minimal spontaneous CP-violating GUT and predictions for leptonic CP phases
• Gravitational waves from cosmic superstrings and gauge strings
• Unification of the four forces in the Spin(11,1) geometric algebra
• Non-Abelian Domain Walls and Gravitational Waves
• Asymptotic grand unification in SO(10) with one extra dimension
• Probing quark-lepton correlation in GUTs with high-precision neutrino measurements
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture