Mixing the Strong and E-W Higgs Sectors

Details Mixing the Strong and E-W Higgs Sectors Mixing the Strong and E-W Higgs Sectors

2005-04-22

arxiv.org/abs/hep-ph/0504204v4

Phys.Lett. B619 (2005) 145-148

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2005.05.058

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.

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