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

Abstract

We consider a minimal renormalizable non-supersymmetric E6 Grand Unified Theory using only fundamental representation 27 for fermions and scalars. The proposed model, guided by TeVscale 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.

Reflecting on chirality: CP-violating extensions of the single scalar-leptoquark solutions for the $(g-2)_{e,μ}$ puzzles and their implications for lepton EDMs

“…In the central plots, we illustrate regions that satisfy the electron MDM constraints for Cs and Rb, to within one-sigma. For the muon sector in Figures 5(c) and 6(c), we show contours representing the benchmark values of ξ 23 , consistent with the sign preference for each model -as per equations ( 46) and (47).…”

Flavour anomalies and dark matter assisted unification in SO(10) GUT

“…In the context of GUT, the popular models are SU(5) [41], SO (10) [18, [42][43][44][45][46][47][48][49][50][51][52]] and E 6 [53][54][55][56][57][58][59][60][61], where many of the unsolved issues of the SM can be addressed. In most of the literature, it is found that all GUTs without any intermediate symmetry breaking and in the absence of supersymmetry, fails to unify the gauge couplings corresponding to three fundamental forces as described by SM.…”