Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. II. Minima, symmetries, and topology

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 Min...

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Veröffentlicht in:	Physical review. D, Particles and fields Particles and fields, 2008-01, Vol.77 (1), Article 015017
1. Verfasser:	Ivanov, I. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	HIGGS BOSONS HIGGS MODEL LAGRANGIAN FUNCTION MINKOWSKI SPACE Physical, chemical, mathematical & earth Sciences Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Physique Physique, chimie, mathématiques & sciences de la terre POTENTIALS QUANTUM FIELD THEORY SYMMETRY TOPOLOGY VACUUM STATES
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container_title	Physical review. D, Particles and fields
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creator	Ivanov, I. P.
description	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.
doi_str_mv	10.1103/PhysRevD.77.015017
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subjects	HIGGS BOSONS HIGGS MODEL LAGRANGIAN FUNCTION MINKOWSKI SPACE Physical, chemical, mathematical & earth Sciences Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Physique Physique, chimie, mathématiques & sciences de la terre POTENTIALS QUANTUM FIELD THEORY SYMMETRY TOPOLOGY VACUUM STATES
title	Minkowski space structure of the Higgs potential in the two-Higgs-doublet model. II. Minima, symmetries, and topology
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