Reference : Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. II. ...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/66955
Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. II. Minima, symmetries, and topology
English
Ivanov, Igor mailto [Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique >]
2008
Physical Review. D, Particles and Fields
American Physical Society
77
015017 1-16
Yes
International
0556-2821
College Park
MD
[en] We continue to explore the consequences of the recently discovered Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. Here, we focus on the vacuum properties. The search for extrema of the Higgs potential is reformulated in terms of 3-quadrics in the 3+1-dimensional Minkowski space. We prove that 2HDM cannot have more than two local minima in the orbit space and that a twice-degenerate minimum can arise only via spontaneous violation of a discrete symmetry of the Higgs potential. Investigating topology of the 3-quadrics, we give concise criteria for existence of noncontractible paths in the Higgs orbit space. We also study explicit symmetries of the Higgs potential/Lagrangian and their spontaneous violation from a wider perspective than usual.
http://hdl.handle.net/2268/66955
10.1103/PhysRevD.77.015017
http://prd.aps.org/abstract/PRD/v77/i1/e015017

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