Theoretical constraints on the couplings of non-exotic minimal $Z'$ bosons

Details Theoretical constraints on the couplings of non-exotic minimal $Z'$ bosons Theoretical constraints on the couplings of non-exotic minimal $Z'$ bosons

2011-06-23

arxiv.org/abs/1106.4762v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 2 figures; bibliography updated, comments added on Section III

Scientific paper

10.1007/JHEP08(2011)122

We have combined perturbative unitarity and renormalisation group equation arguments in order to find a dynamical way to constrain the space of the gauge couplings ($g'_1$, $\widetilde{g}$) of the so-called "Minimal $Z'$ Models". We have analysed the role of the gauge couplings evolution in the perturbative stability of the two-to-two body scattering amplitudes of the vector and scalar sectors of these models and we have shown that perturbative unitarity imposes an upper bound that is generally stronger than the triviality constraint. We have also demonstrated how this method quantitatively refines the usual triviality bound in the case of benchmark scenarios such as the $U(1)_\chi$, the $U(1)_R$ or the "pure" $U(1)_{B-L}$ extension of the Standard Model. Finally, a description of the underlying model structure in Feynman gauge is provided.

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