Vacuum Stability Conditions for New $SU(2)$ Multiplets

Abstract

We consider the addition to the Standard Model of a scalar $SU(2)$ multiplet ${\Delta }_n$ with dimension $n$ going from $1$ to $6$. The multiplet ${\Delta }_n$ is assumed to have null vacuum expectation value and an arbitrary (free) hypercharge. We determine the shape of the phase space for the new terms that appear in the scalar potential (SP); we observe in particular that, in the case of a 6-plet, the phase space is slightly concave along one of its boundaries. We determine the bounded-from-below and vacuum stability conditions on the SP for each value of $n$.

33 pages, 2 figures; v2: added references and footnotes, corrected the Acknowledgments

References in corpus (33)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Theory and phenomenology of two-Higgs-doublet models
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• Complex Singlet Extension of the Standard Model
• Vacuum Stability Conditions From Copositivity Criteria
• Minkowski space structure of the Higgs potential in 2HDM
• The Higgs Potential in the Type II Seesaw Model
• Stability and Symmetry Breaking in the General Two-Higgs-Doublet Model
• Metastability bounds on the two Higgs doublet model
• Vacuum Stability of a General Scalar Potential of a Few Fields
• Evolution of Universe to the present inert phase
• Tree-level metastability bounds for the most general two Higgs doublet model
• Consistency of the triplet seesaw model revisited
• Properties of the general NHDM. I. The orbit space
• Geometric minimization of highly symmetric potentials
• Boundedness from below in the $U(1)\times U(1)$ three-Higgs-Doublet model
• Properties of the general NHDM. II. Higgs potential and its symmetries
• Constraining the Inert Doublet Model using Vector Boson Fusion
• Algorithmic Boundedness-From-Below Conditions for Generic Scalar Potentials
• Vacuum Stability Conditions for Higgs Potentials with $SU(2{)}_L$ Triplets
• Yet another lesson on the stability conditions in multi-Higgs potentials
• Theoretical constraints on the Higgs potential of the general $331$ model
• BFB conditions on a class of symmetry constrained 3HDM
• Stability of neutral minima against charge breaking in the Higgs triplet model
• Bounded-from-below conditions for $A_4$-symmetric 3HDM
• Vacuum Stability and Perturbativity of SU(3) Scalars
• Neutrino masses from new seesaw models: Low-scale variants and phenomenological implications
• Conditions for global minimum in the A4 symmetric 3HDM
• Neutrino masses from new Weinberg-like operators: Phenomenology of TeV scalar multiplets
• Constraining the Higgs Trilinear Coupling from an $SU(2)$ Quadruplet with Bounded-from-Below Conditions
• On the addition of a large scalar multiplet to the Standard Model
• Vacuum Stability and Radiative Symmetry Breaking of the Scale-Invariant Singlet Extension of Type II Seesaw Model