Vacuum Structure of an Extended Standard Model with $U(1)_D$ Symmetry
Abstract
In this research, we investigate the vacuum structure of an extended standard model with a global symmetry. The scalar sector consists of two 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.
Keywords
Cite
@article{arxiv.2509.05534,
title = {Vacuum Structure of an Extended Standard Model with $U(1)_D$ Symmetry},
author = {Apriadi Salim Adam and Yunita Kristanti Andriani and Bayu Dirgantara},
journal= {arXiv preprint arXiv:2509.05534},
year = {2026}
}
Comments
26 pages, 6 figures, 4 tables, final version to be published in JHEP