Vacuum Stability Conditions From Copositivity Criteria
read the original abstract
A scalar potential of the form $\lambda_{ab} \phi_a^2 \phi_b^2$ is bounded from below if its matrix of quartic couplings $\lambda_{ab}$ is copositive -- positive on non-negative vectors. Scalar potentials of this form occur naturally for scalar dark matter stabilised by a $\mathbb{Z}_2$ symmetry. Copositivity criteria allow to derive analytic necessary and sufficient vacuum stability conditions for the matrix $\lambda_{ab}$. We review the basic properties of copositive matrices and analytic criteria for copositivity. To illustrate these, we re-derive the vacuum stability conditions for the inert doublet model in a simple way, and derive the vacuum stability conditions for the $\mathbb{Z}_2$ complex singlet dark matter, and for the model with both a complex singlet and an inert doublet invariant under a global U(1) symmetry.
This paper has not been read by Pith yet.
Forward citations
Cited by 7 Pith papers
-
Imprint of domain wall annihilation on induced gravitational waves
Domain wall annihilation imprints a two-peaked spectrum on induced gravitational waves via an early matter-dominated phase and entropy dilution.
-
On the addition of an $SU(2)$ quadruplet of scalars to the Standard Model
The authors derive exact analytical boundaries for the phase spaces of gauge-invariant terms in the scalar potentials of two SU(2) quadruplet extensions of the Standard Model and provide efficient line-scanning proced...
-
Vacuum structure of the Babu-Nandi-Tavartkiladze model of neutrino mass generation
In the BNT neutrino mass model the electroweak vacuum is not generically the global minimum, with stability reducible to two mass inequalities when the quadruplet vev vanishes.
-
Radiative neutrino mass generation and dark matter through vectorlike leptons
A three-loop radiative neutrino mass model with vectorlike leptons and scalar dark matter that fits oscillation data, dark matter constraints, and lepton flavor violation bounds while predicting testable signals.
-
Machine Learning in the 2HDM2S model for Dark Matter
A 2HDM extended by two real scalar singlets is scanned with evolutionary strategies to locate regions satisfying vacuum, unitarity, oblique-parameter, collider and dark-matter constraints.
-
The Alternative Left-Right Scenario: Unitarity, Vacuum Stability and RG Evolution
Renormalization group evolution in the Alternative Left-Right Model restricts the allowed quartic couplings and yields upper bounds on extended Higgs scalar masses for theoretical consistency up to 10^16 GeV.
-
Search for Dark Matter in 2HDMS at LHC and future Lepton Colliders
Benchmarks in the 2HDMS model with light to heavy dark matter masses are identified under all constraints and shown to have better discovery prospects at future lepton colliders than at the HL-LHC via cut-and-count analyses.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.