Analysis of the Higgs potentials for two doublets and a singlet

2012/09/27 by Guillaume Chalons, G. Chalons, Florian Domingo +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Electroweak interaction #Gauge (firearms) #Geometry #Higgs boson #Higgs field #Minimal Supersymmetric Standard Model #Neutralino #Parameter space #Particle physics #Particle physics theoretical and experimental studies #Physics #R-symmetry #Standard Model (mathematical formulation) #Supergravity #Supersymmetry #Symmetry breaking #hep-ph

paper · pdf · doi:10.1103/physrevd.86.115024

46 pages, 4 figures

arxiv created 2012/09/27 · openalex publication_date 2012/12/26 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the most general CP-conserving renormalizable effective scalar potential involving two doublets plus one singlet Higgs and satisfying the electroweak gauge symmetry. After deriving the electroweak symmetry breaking conditions, we focus on special cases, characterized by specific symmetry properties and/or relations to supersymmetry-inspired extensions of the Standard Model [e.g., nearly minimal supersymmetric StandardModel (nMSSM), next-to-minimal supersymmetric Standard Model (NMSSM), U(1)^\ensuremath' extended minimal supersymmetric Standard Model (UMSSM)]. We then investigate the question of the reconstruction of the potential parameters from the Higgs masses and mixing angles and show that in some specific cases, such as the one of an underlying NMSSM, an accuracy at the order of leading logarithms is achievable with minimal effort. We finally study a few phenomenological consequences for this latter model. More specifically, we consider how our parameter reconstruction modifies the outcome of two publicly available codes: micrOMEGAs and NMSSMTools. We observed noteworthy effects in regions of parameter space where Higgs-to-Higgs decays are relevant, impacting the collider searches for light Higgs states and the prediction of the dark matter relic density.

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