Vacuum Structure of an Extended Standard Model with $U(1)_D$ Symmetry

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Main Authors: Adam, Apriadi Salim, Andriani, Yunita Kristanti, Dirgantara, Bayu
Format: Preprint
Published: 2025
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author Adam, Apriadi Salim
Andriani, Yunita Kristanti
Dirgantara, Bayu
author_facet Adam, Apriadi Salim
Andriani, Yunita Kristanti
Dirgantara, Bayu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05534
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Vacuum Structure of an Extended Standard Model with $U(1)_D$ Symmetry
Adam, Apriadi Salim
Andriani, Yunita Kristanti
Dirgantara, Bayu
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
title Vacuum Structure of an Extended Standard Model with $U(1)_D$ Symmetry
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2509.05534