A Parameter Space Exploration of the Minimal SU(5) Unification

Abstract

We present phenomenological study of the most minimal realistic $SU(5)$ model that owns its predictivity solely to the gauge symmetry and the representational content. The model is built entirely out of the fields residing in the first five lowest dimensional representations that transform non-trivially under the $SU(5)$ gauge group. It has eighteen real parameters and fourteen phases, all in all, to address experimental observables of the Standard Model fermions and accomplishes that via simultaneous use of three different mass generation mechanisms. Furthermore, it inextricably links the origin of the neutrino mass to the experimentally observed difference between the down-type quark and charged lepton masses. The main predictions of the model are that $(i)$ the neutrinos are Majorana particles, $(ii)$ one neutrino is massless, $(iii)$ the neutrinos have normal mass ordering, and $(iv)$ there are four new scalar multiplets at or below a $120$ TeV mass scale. A one-loop analysis demonstrates that an improvement of the current $p\to {\pi }^0{e}^{+}$ partial lifetime limit by a factor of $2$, $15$, and $96$ would require these four scalar multiplets to reside at or below the $100$ TeV, $10$ TeV, and $1$ TeV mass scales, respectively.

arXiv comment20 pages + references, 3 figures; accepted in Physical Review D (PRD); version to appear in PRD

References in corpus (16)

• Big-Bang Nucleosynthesis
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Hyper-Kamiokande Design Report
• Proton stability in grand unified theories, in strings, and in branes
• Running quark and lepton parameters at various scales
• Improved lattice computation of proton decay matrix elements
• New Mechanism for Neutrino Mass Generation and Triply Charged Higgs Bosons at the LHC
• Search for proton decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ with an enlarged fiducial volume in Super-Kamiokande I-IV
• General parametrization of Majorana neutrino mass models
• The Two Loop Long Range Effect on the Proton Decay Effective Lagrangian
• Generation of Neutrino mass from new physics at TeV scale and Multi-lepton Signatures at the LHC
• Master Majorana neutrino mass parametrization
• Master Majorana neutrino mass parametrization
• Scalar leptoquark in SU(5)
• Towards Minimal SU(5)
• Realistic model for SU(5) grand unification

Cited by in corpus (6)

• Viable quark-lepton Yukawa ratios and nucleon decay predictions in $SU(5)$ GUTs with type-II seesaw
• Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw
• Proton decay
• Fully Testable Axion Dark Matter within a Minimal $SU(5)$ GUT
• Neutrino masses from new seesaw models: Low-scale variants and phenomenological implications
• Neutrino Mass Induced $n$-$\overline{n}$ Oscillation