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

Hanqing Zheng
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Abstract

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 $σ$ 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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Hanqing Zheng. 1995-04-04. Spontaneous breaking of vector symmetries and the non-decoupling light Higgs particle. https://doi.org/10.1103/physrevd.52.6500

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