Towards a renormalizable standard model without fundamental Higgs scalar

Details Towards a renormalizable standard model without fundamental Higgs scalar Towards a renormalizable standard model without fundamental Higgs scalar

2003-12-02

arxiv.org/abs/hep-ph/0312034v1

Phys.Rev. D69 (2004) 105008

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 4 figures

Scientific paper

10.1103/PhysRevD.69.105008

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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