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arXiv · hep-ph/0312034

Towards a renormalizable standard model without fundamental Higgs scalar

Holger Gies·Joerg Jaeckel·Christof Wetterich
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Abstract

We investigate the possibility of constructing a renormalizable standard model with purely fermionic matter content. The Higgs scalar is replaced by point-like fermionic self-interactions with couplings growing large at the Fermi scale. An analysis of the UV behavior in the point-like approximation reveals a variety of non-Gaussian fixed points for the fermion couplings. If real, such fixed points would imply nonperturbative renormalizability and evade triviality of the Higgs sector. For point-like fermionic self-interactions and weak gauge couplings, one encounters a hierarchy problem similar to the one for a fundamental Higgs scalar.

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Holger Gies, Joerg Jaeckel, Christof Wetterich. 2003-12-02. Towards a renormalizable standard model without fundamental Higgs scalar. https://doi.org/10.1103/physrevd.69.105008

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