The Z2 Two Higgs Doublet Model and the hierarchy problem

Details The Z2 Two Higgs Doublet Model and the hierarchy problem The Z2 Two Higgs Doublet Model and the hierarchy problem

2011-09-02

arxiv.org/abs/1109.0409v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages

Scientific paper

The hierarchy problem is investigated in the $\mathbb{Z}_2$ Two Higgs Doublet extension of the Standard Model. From the quadratic divergences of the Higgs field propagators fine-tuning constraints are extracted and solved. This leads to the mass relation $m_{h^0}^2 < 2 m_t^2 < m_{H^0}^2$, where $h^0$ is the analogue of the SM Higgs boson and $H^0$ a heavier neutral scalar. The constraint leads to an admissible condition on the Higgs boson mass, in contrast to a similar treatment for the Standard Model. Based on this analysis it is argued that there may not be a little hierarchy problem for the $\mathbb{Z}_2$ model, as it is the low energy counterpart of the MSSM.

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