Theorem on vanishing contributions to sin⁡2θW\sin^2θ_W and intermediate mass scale in Grand Unified Theories with trinification symmetry

preprint2020arXivOpen access

Abstract

We prove that the values of the electroweak mixing angle sin⁡2θW\sin^2θ_W and intermediate mass scale MIM_I have vanishing contributions due to one-loop, two-loop and gravitational corrections in Grand Unified Theories which accommodate an intermediate trinification symmetry (G333DG_{333D}) invoked with spontaneous D-parity mechanism operative at mass scale greater than MIM_I. The proof of theorem is robust and we verify the results numerically using supersymmetric as well as non-supersymmetric version of E6E_6-GUT.

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