A minimal non-supersymmetric $E_6$ Grand Unified Theory without intermediate symmetry

We consider a minimal renormalizable non-supersymmetric $E_6$ Grand Unified Theory using only fundamental representation $27$ for fermions and scalars. The proposed model, guided by TeV-scale vector-like fermions and scalars offer successful gauge unification even in the absence of any intermediate symmetry. Embedded with threshold corrections, it is shown to be compatible with the present experimental limit on proton decay lifetime. The unique feature of the model shows that, the GUT threshold corrections to the unification mass, is controlled by superheavy gauge bosons only, thereby minimising the uncertainty of the GUT predictions. The scalar and fermion leptoquarks residing in $27$ representation can explain flavor physics anomalies like $R(K^*)$ and $R(D^*)$ as reported by the LHCb collaboration and the muon anomalous magnetic moment reported by the recent Muon $g-2$ experiment at Fermilab. The model can also predict a sub-eV scale neutrino at one-loop level via exchange of $W$ and $Z$ gauge bosons via MRIS mechanism.
5 pages, 4 tables, 2 figures