论文标题

cp违反$ hw^+w^ - 标准模型及以后的$耦合

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

论文作者

Huang, Da, Morais, António P., Santos, Rui

论文摘要

受到最新发展的启发,我们在确定观察到的希格斯玻色子的属性时,我们探索$ cp $ - 抗化(cpv)$ - c _ {\ rm cpv} h w^{+\,μν} \ tilde {w} $ w^{\ pm \,μν} $和$ \ tilde {w}^{\ pm \,μν} $表示$ w $ -boson场的强度及其双重。首先,我们表明,对此CPV顶点的前阶SM贡献出现在双环级别。通过分析两个环的积分中的夸克风味指数求和,我们可以估计相应的威尔逊系数的顺序为$ c^{\ rm sm} _ {\ rm cpv} \ sim {\ sim {\ sim {\ cal o}(10^{ - 23})$,显然太小了,即proged coll coll coll and lhc and lhc and lhc。然后,我们研究了两个在两个标准模型基准模型之外的CPV $ HW^+ W^ - $相互作用:左右模型和复杂的2-HIGGS Doublet模型(C2HDM)。与SM发生的情况不同,两种模型中的主要贡献都在单环级别出现,相应的Wilson系数可以大于$ {\ cal o}(10^{ - 9})$,以前模型和$ {\ cal o}(10^{ - 3})$的$。鉴于$ HW^+W^ - $耦合中的CPV效应如此大,我们还为领先的一环贡献提供了对C2HDM中相关CPV $ HZZ $有效操作员的公式。 C2HDM中Wilson系数的数量级可能在高肌性LHC或计划的未来围墙的范围内。

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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