English

Mixing the Strong and E-W Higgs Sectors

High Energy Physics - Phenomenology 2009-11-11 v4 Nuclear Theory

Abstract

After noting the well known similarity of the minimal electro-weak Higgs sector with the linear sigma model for the pion and the sigma, it is found that a small mixing term between the two models generates a pion mass. Although the custodial SU(2)L x SU(2)R, and the gauged SU(2)L x U(1) symmetry for the whole model remains intact, the mixing breaks the relative chiral symmetry between the two sectors. The mixing should be calculable from light quark masses as a quantum correction. This simple mechanism of "relative symmetry breaking" is believed to have applications for other forms of symmetry breaking.

Keywords

Cite

@article{arxiv.hep-ph/0504204,
  title  = {Mixing the Strong and E-W Higgs Sectors},
  author = {Nils A. Tornqvist},
  journal= {arXiv preprint arXiv:hep-ph/0504204},
  year   = {2009}
}

Comments

Version to appear in PLB. Referencess added. Acknowledgement support corrected. Minor improvements in text

R2 v1 2026-07-22T14:01:33.998Z