Spontaneous breaking of vector symmetries and the non-decoupling light Higgs particle

Details Spontaneous breaking of vector symmetries and the non-decoupling light Higgs particle Spontaneous breaking of vector symmetries and the non-decoupling light Higgs particle

1995-04-04

arxiv.org/abs/hep-ph/9504213v1

Phys.Rev. D52 (1995) 6500-6504

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, Latex.

Scientific paper

10.1103/PhysRevD.52.6500

Using a four fermion interaction Lagrangian, we demonstrate that the spontaneous breaking of vector symmetries requires the existence of a light (comparing with the heavy fermion mass) scalar particle and the low energy effective theory (the $\sigma$ model) obtained after integrating out heavy fermion degrees of freedom is asymptotically a renormalizable one. When applying the idea to the electroweak symmetry breaking sector of the standard model, the Higgs particle's mass is of the order of the electroweak scale: $185 GeV /\sqrt{N_c} < m_H < 720 GeV /\sqrt{N_c}$ where $N_c$ is the color degrees of freedom of the heavy fermion fields.

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