Yet another lesson on the stability conditions in multi-Higgs potentials

Journal of High Energy Physics

Igor P. Ivanov¹  Francisco Vazão¹ 

[1] Centro de Física Teórica de Particulas, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal;

关键词: Beyond Standard Model;    Higgs Physics;    Global Symmetries;   

DOI  :  10.1007/JHEP11(2020)104

来源: Springer

【 摘 要 】

We discuss a rather common but often unnoticed pitfall which arises when deriving the bounded-from-below (BFB) conditions in multi-Higgs models with softly broken global symmetries. Namely, necessary and sufficient BFB conditions derived for the case with an exact symmetry can be ruined by introducing soft symmetry breaking terms. Using S4 and A4-symmetric three-Higgs-doublet models as an example, we argue that all published necessary and sufficient BFB conditions, even those which are correct for the exactly symmetric case, are no longer sufficient if soft symmetry breaking is added. Using the geometric formalism, we derive the exact necessary and sufficient BFB conditions for the 3HDM with the symmetry group S4, either exact or softly broken, and review the situation for the A4-symmetric case.

【 授权许可】

CC BY