We introduce a generalised form of an emergent dark energy model with one degree of freedom for the dark energy sector that has the flexibility to include both $\Lambda$CDM model as well as the Phenomenologically Emergent Dark Energy (PEDE) model proposed by Li & Shafieloo (2019) as two of its special limits. The free parameter for the dark energy sector, namely $\Delta$, has the value of $0$ for the case of the $\Lambda$ and $1$ for the case of PEDE. Fitting the introduced parametric form to Planck CMB data and most recent $H_0$ results from local observations of Cepheids and Supernovae, we show that the $\Delta=0$ associated with the $\Lambda$CDM model would fall out of 4$\sigma$ confidence limits of the derived posterior of the $\Delta$ parameter. Moreover, $H_0$ tensions will be alleviated with emergent dark energy model and this model can satisfy the combination of Planck CMB data and local $H_0$ observations with $\Delta{\rm{DIC}}\,=\,-2.88$ compared with $\LCDM$ model.

中文翻译：

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出现暗能量的证据

我们为暗能量部门引入了一种具有一个自由度的涌现暗能量模型的广义形式，该模型可以灵活地包括 $\Lambda$CDM 模型以及 Li & 提出的现象学涌现暗能量 (PEDE) 模型。 Shafieloo (2019) 作为它的两个特殊限制。暗能量扇区的自由参数，即 $\Delta$，对于 $\Lambda$ 的情况为 $0$，对于 PEDE 的情况为 $1$。将引入的参数形式拟合到普朗克 CMB 数据和来自造父变星和超新星的局部观测的最新 $H_0$ 结果，我们表明与 $\Lambda$CDM 模型相关的 $\Delta=0$ 将超出 4$\ $\Delta$ 参数的派生后验的 sigma$ 置信限。而且，