Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson

DOI10.1134/s0040577924090101zbMATH Open1548.81198MaRDI QIDQ6632286

Liqun Qi, Yisheng Song

Publication date: 4 November 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

positive definitenesshomogeneous polynomialboundedness from belowscalar potentialsanalytic expression4th-order tensors

Mathematics Subject Classification ID

Model quantum field theories (81T10) Matrix models and tensor models for quantum field theory (81T32)

Cites Work

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• Geometric minimization of highly symmetric potentials
• An unconstrained optimization approach for finding real eigenvalues of even order symmetric tensors
• Finding the maximum eigenvalue of essentially nonnegative symmetric tensors via sum of squares programming
• Symmetric nonnegative tensors and copositive tensors
• Constraining flavour symmetries at the EW scale. I: The \(A_{4}\) Higgs potential
• \(MB\)-tensors and \(MB_0\)-tensors
• Positivity of cubic polynomials on intervals and positive spline interpolation
• Tensor eigenvalues and their applications
• Real eigenvalues of nonsymmetric tensors
• Copositivity for 3rd-order symmetric tensors and applications
• Copositivity for a class of fourth-order symmetric tensors given by scalar dark matter
• Positive definiteness for 4th order symmetric tensors and applications
• An even order symmetric \(B\) tensor is positive definite
• Properties of some classes of structured tensors
• Infinite and finite dimensional Hilbert tensors
• Eigenvalues of a real supersymmetric tensor
• Computing Tensor Eigenvalues via Homotopy Methods
• The dominant eigenvalue of an essentially nonnegative tensor
• A sequential subspace projection method for extreme Z-eigenvalues of supersymmetric tensors
• Non-Abelian Discrete Symmetries in Particle Physics
• Finding the Largest Eigenvalue of a Nonnegative Tensor
• Positivity and nonnegativity conditions of a quartic equation and related problems
• Comments on "A procedure for the positive definiteness of forms of even order"
• A procedure for the positive definiteness of forms of even order
• An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form
• HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS
• Analytical expressions of copositivity for fourth-order symmetric tensors
• All Real Eigenvalues of Symmetric Tensors
• Comments on "Explicit criterion for the positive definiteness of a general quartic form"
• Tensor Analysis
• Copositivity of Three-Dimensional Symmetric Tensors
• New tools for dissecting the general 2HDM

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