The standard $\Lambda$ Cold Dark Matter cosmological model provides a wonderful fit to current cosmological data, but a few statistically significant tensions and anomalies were found in the latest data analyses. While these anomalies could be due to the presence of systematic errors in the experiments, they could also indicate the need for new physics beyond the standard model. In this Letter of Interest we focus on the tension between Planck data and weak lensing measurements and redshift surveys, in the value of the matter energy density ${\Omega }_m$ and the amplitude ${\sigma }_8$ (or the growth rate $f{\sigma }_8$) of cosmic structure. We list a few promising models for solving this tension, and discuss the importance of trying to fit multiple cosmological datasets with complete physical models, rather than fitting individual datasets with a few handpicked theoretical parameters.

标准 $\Lambda$Cold Dark Matter宇宙学模型非常适合当前的宇宙学数据，但是在最新的数据分析中发现了一些统计学上显着的张力和异常。尽管这些异常可能是由于实验中存在系统错误所致，但它们也可能表明需要标准模型以外的新物理学。在本《意向书》中，我们重点关注物质能量密度值中的普朗克数据与弱透镜测量和红移调查之间的张力。${\Omega }_{米}$ 和振幅 ${\sigma }_8$ （或增长率 $F{\sigma }_8$）的宇宙结构。我们列出了一些有希望的模型来解决这种张力，并讨论了尝试使用完整的物理模型拟合多个宇宙学数据集的重要性，而不是使用一些精心挑选的理论参数拟合单个数据集的重要性。