pISSN 0374-4914 eISSN 2289-0041

Research Paper

New Phys.: Sae Mulli 2020; 70: 571-574

Published online July 31, 2020 https://doi.org/10.3938/NPSM.70.571

Vacuum Structure in the Standard Model with a Complex Scalar Singlet

Jae Sik LEE1,2, Jubin PARK1,2*

1Department of Physics, Chonnam National University, Gwangju 61186, Korea
2IUEP, Chonnam National University, Gwangju 61186, Korea

Correspondence to:honolov77@gmail.com

Received: May 7, 2020; Revised: June 16, 2020; Accepted: June 16, 2020

Abstract

We analyze the vacuum structure in an extension of the Standard Model with a complex singlet scalar field. Beyond the Standard Model, this model shows a much richer vacuum structure and a variety of interesting mass spectra. In this paper, we first show that the Higgs mass matrix can be simplified using the proper basis, and it can comprehensively reflect the change in the tadpole conditions due to the soft symmetry-breaking terms. Thus, this framework makes it easy to obtain a mass matrix through the corresponding tadpole conditions when considering new symmetry such as $\mathbb{Z}^\prime_2$. Finally, we introduce the Higgs potential for the trilinear and quartic Higgs self couplings, and summarize the vacuum structure taking into account all possible cases with a corresponding set of inputs and miscellaneous relations.

Keywords: Standard Model, Complex singlet scalar, Vacuum structure