Prospects for New Physics from gauge Left-Right-Colour-Family Grand Unification hypothesis

Abstract

Given the tremendous phenomenological success of the Standard Model (SM) framework, it becomes increasingly important to understand to what extent its specific structure dynamically emerges from unification principles. In this study, we present a novel anomaly-free supersymmetric (SUSY) Grand Unification model based upon gauge trinification $[\mathrm{SU}(3){]}^3$ symmetry and a local $\mathrm{SU}(2{)}_{\mathrm{F}}\times \mathrm{U}(1{)}_{\mathrm{F}}$ family symmetry, with particle spectra and gauge symmetries inspired by a possible reduction pattern ${\mathrm{E}}_8\to {\mathrm{E}}_6\times \mathrm{SU}(2{)}_{\mathrm{F}}\times \mathrm{U}(1{)}_{\mathrm{F}}$, with subsequent ${\mathrm{E}}_6\to [\mathrm{SU}(3){]}^3$ symmetry breaking step. In this framework, higher-dimensional operators of ${\mathrm{E}}_6$ induce the threshold corrections in the gauge and Yukawa interactions leading, in particular, to only two distinct Yukawa couplings in the fundamental sector of the resulting $[\mathrm{SU}(3){]}^3\times \mathrm{SU}(2{)}_{\mathrm{F}}\times \mathrm{U}(1{)}_{\mathrm{F}}$ Lagrangian. Among the appealing features emergent in this framework are the Higgs-matter unification and a unique minimal three Higgs doublet scalar sector at the electroweak scale as well as tree-level hierarchies in the light fermion spectra consistent with those observed in nature. In addition, our framework reveals a variety of prospects for New Physics searches at the LHC and future colliders such as vector-like fermions, as well as rich scalar, gauge and neutrino sectors.

50 pages, 10 figures, 17 tables; discussion somewhat extended; published version

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Cited by in corpus (10)

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• Phenomenology at the Large Hadron Collider with Deep Learning: the case of vector-like quarks decaying to light jets
• Sculpting the Standard Model from low-scale Gauge-Higgs-Matter $E_8$ Grand Unification in ten dimensions
• SO(10) unification with horizontal symmetry
• Grand Unified origin of gauge interactions and families replication in the Standard Model
• Deep Learning Searches for Vector-Like Leptons at the LHC and Electron/Muon Colliders
• Exploring mixed lepton-quark interactions in non-resonant leptoquark production at the LHC
• Machine learning study on single production of a singlet vectorlike lepton at the Large Hadron Collider