Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. II. Minima, symmetries, and topology
- 25 January 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 77 (1), 015017
- https://doi.org/10.1103/physrevd.77.015017
Abstract
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 -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.
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