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arXiv · 1602.04271

Perturbative unification of gauge couplings in supersymmetric $E_6$ models

Gi-Chol Cho·Nobuhito Maru·Kaho Yotsutani
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Abstract

We study gauge coupling unification in supersymmetric $E_6$ models where an additional $\mathrm{U}(1)'$ gauge symmetry is broken near the TeV scale and a number of exotic matter fields from the $\bm{27}$ representations have $O(\mathrm{TeV})$ mass. Solving the 2-loop renormalization group equations of gauge couplings and a kinetic mixing coupling between the $\mathrm{U}(1)'$ and $\mathrm{U}(1)_Y$ gauge fields, we find that the gauge couplings fall into the non-perturbative regime below the GUT scale. We examine threshold corrections on the running of gauge couplings from both light and heavy ($\sim$ GUT scale) particles and show constraints on the size of corrections to achieve the perturbative unification of gauge couplings.

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Gi-Chol Cho, Nobuhito Maru, Kaho Yotsutani. 2016-05-24. Perturbative unification of gauge couplings in supersymmetric $E_6$ models. https://doi.org/10.1142/s0217732316501303

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