Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology

dc.creatorIvanov, I. P.
dc.date2007-10-18
dc.date.accessioned2026-07-07T11:38:13Z
dc.date.available2026-07-07T11:38:13Z
dc.descriptionWe 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 non-contractible 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.
dc.description27 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0710.3490
dc.identifierhttp://arxiv.org/abs/0710.3490
dc.identifierPhys.Rev.D77:015017,2008
dc.identifierdoi:10.1103/PhysRevD.77.015017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199480
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleMinkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
dc.typetext

Files

Collections