On two-loop corrections to the Higgs trilinear coupling in models with extended scalar sectors
On two-loop corrections to the Higgs trilinear coupling in models with extended scalar sectors
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DOI：
10.1016/j.physletb.2019.07.021
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发表时间：
2019-03
影响因子：
4.4
通讯作者：
Johannes Braathen;S. Kanemura
中科院分区：
文献类型：
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作者：
Johannes Braathen;S. Kanemura
本文研究了两类具有扩展Higgs扇区的模型，即双Higgs双重模型（2 HDM）和惰性双重模型（IDM）中Higgs三线性耦合λ h h h的双圈辐射修正的可能大小.在有效势近似下，我们计算了这些理论中附加标量和顶夸克在两个环上的主要贡献。我们包括所有必要的转换位移，以获得表达式在MS和壳重正化计划，特别是，我们设计了一个一致的“壳”处方的软断裂质量的2 HDM在两个循环的水平。我们用简单对齐情形的数值研究来说明我们的分析结果，并表明对λ h h h的双圈修正仍然小于它们的单圈修正，典型的大小是单圈修正的10 - 20%，至少在满足微扰么正性条件时是这样。因此，希格斯三线性耦合与标准模型中的预测存在很大的偏差，这在文献中已经讨论过，在一个循环中，没有显着改变。
We investigate the possible size of two-loop radiative corrections to the Higgs trilinear coupling λ h h h in two types of models with extended Higgs sectors, namely in a Two-Higgs-Doublet Model (2HDM) and in the Inert Doublet Model (IDM). We calculate the leading contributions at two loops arising from the additional (heavy) scalars and the top quark of these theories in the effective-potential approximation. We include all necessary conversion shifts in order to obtain expressions both in the MS‾ and on-shell renormalisation schemes, and in particular, we devise a consistent “on-shell” prescription for the soft-breaking mass of the 2HDM at the two-loop level. We illustrate our analytical results with numerical studies of simple aligned scenarios and show that the two-loop corrections to λ h h h remain smaller than their one-loop counterparts, with a typical size being 10− 20% of the one-loop corrections, at least while perturbative unitarity conditions are fulfilled. As a consequence, the existence of a large deviation of the Higgs trilinear coupling from the prediction in the Standard Model, which has been discussed in the literature at one loop, is not altered significantly.