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 $U(1{)}_D$ 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.

26 pages, 6 figures, 4 tables, final version to be published in JHEP

References in corpus (7)

• Gauging U(1) symmetries and the number of right-handed neutrinos
• Vacuum Stability in U(1)-Prime Extensions of the Standard Model with TeV Scale Right Handed Neutrinos
• N-loop running should be combined with N-loop matching
• Asymmetric Self-interacting Dark Matter via Dirac Leptogenesis
• Vacuum Structure of Alternative Left-Right Model
• Vacuum Stability and Radiative Symmetry Breaking of the Scale-Invariant Singlet Extension of Type II Seesaw Model
• Investigating Boson Sector in an Extended Standard Model with $U(1{)}_D$ Symmetry