Threshold effects on prediction for proton decay in non-supersymmetric $E_6$ GUT with intermediate trinification symmetry

Abstract

We consider a non-supersymmetric $E_6$ Grand Unified Theory (GUT) with intermediate trinification symmetry $SU(3{)}_C\times SU(3{)}_L\times SU(3{)}_R\times D$ (D denoted as D-parity for discrete left-right symmetry) and study the effect of one-loop threshold corrections arising due to every class of superheavy particles (scalars, fermions and vectors). It is observed that, the intermediate mass scale $M_I$ and ${\sin }^2{\theta }_W$ remain unaffected by GUT threshold contributions. The threshold modified unification mass scale $M_U$ is in excellent agreement with the present experimental proton decay constraint. The novel feature of the model is that GUT threshold uncertainty of $M_U$ is found to be controlled by superheavy scalars only, leading to a very predictive scenario for proton decay, which can be verifiable within the foreseeable experiments.

arXiv comment9 pages, detailed derivation included for GUT Threshold effects

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• Trinification from ${\mathrm{E}}_6$ symmetry breaking
• Flavour anomalies and dark matter assisted unification in $SO(10)$ GUT
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