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arXiv 2009.09228hep-phhep-ex
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CP违反标准模型及其他模型中的$hW^+W^-$耦合

CP Violating $hW^+W^-$ Coupling in the Standard Model and Beyond

Da Huang, António P. Morais, Rui Santos

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19 pages, 4 figures
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摘要：

受Higgs玻色子性质研究的启发，我们研究了标准模型及更高模型下的$CP$ -破坏（CPV）$- c_{\rm CPV} h W^{+\, μν}\tilde{W}^{-}_{μν}/v$耦合，其中$W^{\pm \, μν}$和$\tilde{W}^{\pm\,μν}$表示$W$ -玻色子场强度及其对偶.首先，我们表明，该CPV顶点的前导顺序SM的贡献出现在两个循环的水平。通过对两个圈积分中的夸克味指数进行解析求和，我们可以估计相应的威尔逊系数的阶数为$c^{\rm SM}_{\rm CPV} \sim {\cal O}(10^{-23})$，这显然太小了，无法在大型强子对撞机和计划中的未来对撞机上进行探测。然后，我们在两个超越标准模型的基准模型：左右模型和复杂的2-Higgs双重态模型（C2 HDM）中研究了CPV $hW^+ W^-$相互作用。与SM不同的是，两种模型中的主要贡献都出现在单回路水平，相应的威尔逊系数可以与前一种模型中的${\cal O}(10^{-9})$和后一种模型中的${\cal O}(10^{-3})$一样大。考虑到$hW^+W^-$耦合中的CPV效应，我们还给出了C_2HDM中的主单圈对CPV $hZZ$有效算符的贡献公式。C2 HDM中威尔逊系数的数量级可能在高亮度LHC或计划中的未来对撞机的范围内。

英文摘要：

Inspired by the recent development in determining the property of the observed Higgs boson, we explore the $CP$-violating (CPV) $- c_{\rm CPV} h W^{+\, μν}\tilde{W}^{-}_{μν}/v$ coupling in the Standard Model (SM) and beyond, where $W^{\pm \, μν}$ and $\tilde{W}^{\pm\,μν}$ denote the $W$-boson field strength and its dual. To begin with, we show that the leading-order SM contribution to this CPV vertex appears at two-loop level. By summing over the quark flavor indices in the two loop integrals analytically, we can estimate the order of the corresponding Wilson coefficient to be $c^{\rm SM}_{\rm CPV} \sim {\cal O}(10^{-23})$, which is obviously too small to be probed at the LHC and planned future colliders. Then we investigate this CPV $hW^+ W^-$ interaction in two Beyond the Standard Model benchmark models: the left-right model and the complex 2-Higgs doublet model (C2HDM). Unlike what happens for the SM, the dominant contributions in both models arise at the one-loop level, and the corresponding Wilson coefficient can be as large as of ${\cal O}(10^{-9})$ in the former model and of ${\cal O}(10^{-3})$ for the latter. In light of such a large CPV effect in the $hW^+W^-$ coupling, we also give the formulae for the leading one-loop contribution to the related CPV $hZZ$ effective operator in the C2HDM. The order of magnitude of the Wilson coefficients in the C2HDM may be within reach of the high-luminosity LHC or planned future colliders.

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