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High Energy Physics - Phenomenology

arXiv:1603.02680 (hep-ph)
[Submitted on 8 Mar 2016 (v1), last revised 12 Mar 2018 (this version, v3)]

Title:Vacuum Stability of a General Scalar Potential of a Few Fields

Authors:Kristjan Kannike
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Abstract:We find analytical vacuum stability or bounded below conditions for general scalar potentials of a few fields. After a brief review of copositivity we go beyond it. We discuss the vacuum stability conditions of the general potential of two real scalars, without and with the Higgs boson included in the potential. As further examples, we give explicit vacuum stability conditions for the two Higgs doublet model with no explicit CP breaking, and for the $\mathbb{Z}_{3}$ scalar dark matter with an inert doublet and a complex singlet. We give a short overview of positivity conditions for tensors of quartic couplings via tensor eigenvalues. A Mathematica notebook with the conditions is included with the source files.
Comments: 24 pages, 5 figures, Mathematica notebook included in the source, 2HDM conditions corrected, simple numerical code for tensor eigenvalues added
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1603.02680 [hep-ph]
  (or arXiv:1603.02680v3 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1603.02680
Journal reference: Eur.Phys.J. C76 (2016) 324
Related DOI: https://doi.org/10.1140/epjc/s10052-016-4160-3

Submission history

From: Kristjan Kannike [view email]
[v1] Tue, 8 Mar 2016 21:00:00 UTC (561 KB)
[v2] Wed, 29 Jun 2016 17:39:24 UTC (164 KB)
[v3] Mon, 12 Mar 2018 13:03:34 UTC (192 KB)
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