Apriadi Salim Adam, Yunita Kristanti Andriani, Bayu Dirgantara
In this research, we investigate the vacuum structure of an extended standard model with a U(1)D global symmetry. The scalar sector consists of two SU(2) doublets as well as one complex singlet and one real singlet, resulting in a more complicated vacuum structure compared to that of the Standard Model. We analyze various theoretical constraints, including the conditions for being bounded from below, the existence of a global minimum, and perturbativity up to the Planck scale. Additionally, we consider experimental constraints from the Higgs invisible decay. Through a detailed statistical analysis using numerical methods, we show that the extended scalar potential can accommodate a stable vacuum while satisfying both theoretical and experimental constraints for a small region of the parameter space. © The Author(s) 2026.
Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), South Tangerang, 15314, Indonesia; Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Malang, Jl. Semarang 5, Malang, 65145, Indonesia; Theoretical and Computational Physics Laboratory, Department of Physics, Hasanuddin University, South Sulawesi, Makassar, 90245, Indonesia; Department of Physics, The University of Osaka, Osaka, Toyonaka, 560-0043, Japan
