Structure of potentials with $N$ Higgs doublets

Details Structure of potentials with $N$ Higgs doublets Structure of potentials with $N$ Higgs doublets

2007-06-19

arxiv.org/abs/0706.2685v2

Phys.Rev.D76:055013,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages. Revtex4. Typos corrected. Few comments added

Scientific paper

10.1103/PhysRevD.76.055013

Extensions of the Standard Model with $N$ Higgs doublets are simple extensions presenting a rich mathematical structure. An underlying Minkowski structure emerges from the study of both variable space and parameter space. The former can be completely parametrized in terms of two future lightlike Minkowski vectors with spatial parts forming an angle whose cosine is $-(N-1)^{-1}$. For the parameter space, the Minkowski parametrization enables one to impose sufficient conditions for bounded below potentials, characterize certain classes of local minima and distinguish charge breaking vacua from neutral vacua. A particular class of neutral minima presents a degenerate mass spectrum for the physical charged Higgs bosons.

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