论文标题
关于多基格斯势稳定性条件的另一堂课
Yet another lesson on the stability conditions in multi-Higgs potentials
论文作者
论文摘要
我们讨论了一个相当普遍但通常没有注意到的陷阱，该陷阱是在具有柔软损坏的全局对称性的多higgs模型中得出有界的from-below（BFB）条件时会产生的。也就是说，通过引入软对称性破坏术语，可以破坏针对该案例的必要和足够的BFB条件。以$ s_4 $和$ a_4 $ -smmetric的三higgs-doublet模型为例，我们认为，如果添加了软对称破坏，则所有发布的所有已发布的必要和足够的BFB条件，即使是确切的对称情况的条件也不再足够。使用几何形式主义，我们通过对称组$ s_4 $（精确或轻轻损坏）得出了3HDM的确切和足够的BFB条件，并查看$ A_4 $ - 符合案例的情况。
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 $S_4$ and $A_4$-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 $S_4$, either exact or softly broken, and review the situation for the $A_4$-symmetric case.
