Theorem on vanishing contributions to ${\sin }^2{\theta }_W$ and intermediate mass scale in Grand Unified Theories with trinification symmetry

Abstract

We prove that the values of the electroweak mixing angle ${\sin }^2{\theta }_W$ and intermediate mass scale $M_I$ have vanishing contributions due to one-loop, two-loop and gravitational corrections in Grand Unified Theories which accommodate an intermediate trinification symmetry ($G_{333D}$) invoked with spontaneous D-parity mechanism operative at mass scale greater than $M_I$. The proof of theorem is robust and we verify the results numerically using supersymmetric as well as non-supersymmetric version of $E_6$-GUT.

arXiv commentMatches with the published version in Phys Rev D

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Cited by in corpus (2)

• Threshold effects on prediction for proton decay in non-supersymmetric $E_6$ GUT with intermediate trinification symmetry
• Flavour anomalies and dark matter assisted unification in $SO(10)$ GUT