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arXiv · 1611.01021

One-loop pseudo-Goldstone masses in the minimal $SO(10)$ Higgs model

Lukáš Gráf·Michal Malinský·Timon Mede·Vasja Susič
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Abstract

We calculate the prominent perturbative contributions shaping the one-loop scalar spectrum of the minimal non-supersymmetric renormalizable $SO(10)$ Higgs model whose unified gauge symmetry is spontaneously broken by an adjoint scalar. Focusing on its potentially realistic $45\oplus 126$ variant in which the rank is reduced by a VEV of the 5-index self-dual antisymmetric tensor, we provide a thorough analysis of the corresponding one-loop Coleman-Weinberg potential, paying particular attention to the masses of the potentially tachyonic pseudo-Goldstone bosons (PGBs) transforming as $(8,1,0)$ and $(1,3,0)$ under the Standard Model gauge group. The results confirm the assumed existence of extended regions in the parameter space supporting a locally stable SM-like quantum vacuum inaccessible at the tree-level. The effective potential (EP) tedium is compared to that encountered in the previously studied $45\oplus 16$ $SO(10)$ Higgs model where the polynomial corrections to the relevant pseudo-Goldstone masses turn out to be easily calculable within a very simplified purely diagrammatic approach.

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Lukáš Gráf, Michal Malinský, Timon Mede, Vasja Susič. 2016-11-03. One-loop pseudo-Goldstone masses in the minimal $SO(10)$ Higgs model. https://doi.org/10.1103/physrevd.95.075007

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