2015/12/31 by Swagata Ghosh, Anirban Kundu, Shamayita Ray
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge (firearms) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Maxima and minima #Parameter space #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scalar (mathematics) #Scalar potential #Singlet state #Standard Model (mathematical formulation) #Theoretical physics #hep-ph
paper · pdf · doi:10.1103/physrevd.93.115034
14 pages, 8 figures. v2: Some minor modifications in the presentation, all results unchanged. One figure added. Cosmetic change in the title to be in compliance with the APS style. Version to be published in PRD
arxiv created 2016/06/23 · openalex publication_date 2016/06/24 · arxiv updated 2016/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the parameter space of the Standard Model enhanced by a gauge singlet real scalar S. Taking into account all the theoretical and experimental constraints, we show the allowed parameter space for two different types of such singlet-enhanced Standard Model. For the first case, the scalar potential has an explicit Z2 symmetry and may lead to a dark matter candidate under certain conditions. For the second case, the scalar potential does not respect any Z2. This is again divided into two subcategories: one where the Standard Model vacuum is stable, and one where it is unstable and can decay into a deeper minimum. We show how the parameters in the scalar potential control the range of validity of all these models. Finally, we show the effect of one-loop correction on the positions and depths of the minima of the potential.