Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 81, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-021-09746-w
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Funding
- Estonian Research Council [PRG434]
- European Regional Development Fund
- programme Mobilitas Pluss grant MOBTT5
- EU through the European Regional Development Fund [CoE program TK133]
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The orbit space of a scalar field in a complex square matrix representation acquires a Minkowski space structure from the Cauchy-Schwarz inequality, which can be utilized to determine vacuum stability conditions and minima of the scalar potential. This method is applicable to fields such as bidoublets, SU(2) triplets, or SU(3) octets. By applying the formalism, the vacuum stability conditions for the left-right symmetric potential of a bidoublet and left and right Higgs doublets can be determined.
The orbit space for a scalar field in a complex square matrix representation obtains a Minkowski space structure from the Cauchy-Schwarz inequality. It can be used to find vacuum stability conditions and minima of the scalar potential. The method is suitable for fields such as a bidoublet, an SU(2) triplet or SU(3) octet. We use the formalism to find the vacuum stability conditions for the left-right symmetric potential of a bidoublet and left and right Higgs doublets.
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