Low scale trinification symmetry through effects of dimension-5 operators in $E_6$ grand unified theory with and without supersymmetry

Chandini Dash; Snigdha Mishra

paper

Low scale trinification symmetry through effects of dimension-5 operators in $E_{6}$ grand unified theory with and without supersymmetry

arXiv:2108.05564

Abstract

We examine $E_{6}$ GUT models (both SUSY and non-SUSY) with D-parity violating intermediate trinification symmetry $(S U (3)_{C} \otimes S U (3)_{L} \otimes S U (3)_{R}) (g_{3 L} \neq = g_{3 R})$ where the D-parity breaking is achieved by quantum gravity effect through dimension-5 operators. Inclusion of the gravitational effect significantly lowers the intermediate scale, being as low as $10$ TeV. However with a given choice of the intermediate mass $M_{I}$ , the gauge unification mass $M_{U}$ as well as the GUT coupling constant are unaffected by the effects. The predicted value of $M_{U}$ is shown to be compatible with the accessible limit of the proton lifetime in presence of additional particles i.e. color octet scalars like $(8, 2, \frac{1}{2})$ or $(8, 1, 0)$ and electroweak triplet fermion $(1, 3, 0)$ at the lower scales. The presence of color octet scalar with mass of the order of TeV may suppress the production of the Higgs boson through gluon fusion. The $S U (2)_{L}$ triplet fermion may behave like a stable dark matter. With reference to cosmological issue, it is expected that no strings or walls bounded by strings associated with D are generated, since the discrete D-parity is broken at the GUT scale.

arXiv comment11 pages

Low scale trinification symmetry through effects of dimension-5 operators in E6​ grand unified theory with and without supersymmetry

Abstract

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Low scale trinification symmetry through effects of dimension-5 operators in $E_{6}$ grand unified theory with and without supersymmetry