"Table Figure 8a 2018 High-mass" of "Searches for additional Higgs bosons and for vector leptoquarks in $\tau\tau$ final states in proton-proton collisions at $\sqrt{s}$ = 13 TeV"

Observed and expected distributions of the variable chosen for statistical inference in the high-mass analysis $m_{T}^{tot}$. Numerical values provided in this table correspond to Figure 8a of the publication, but restricted to and 2018 data-taking year. All distributions are considered after a fit to data is performed using a background-only model, which includes the $\text{H}(125)$ boson. Some details on how the distributions should be used:

1) All given uncertainties correspond to systematic variations of $\pm1\sigma$.
2) Upper values ('plus' in the yaml file) correspond to an upward systematic variation of the parameter ($+1\sigma$).
3) Lower values ('minus' in the yaml file) correspond to a downward systematic variation of the parameter ($-1\sigma$).
4) These variations can have both positive and negative values, depending on the modelled effect.
5) Uncertainties with the same name should be treated as correlated, consistently across the upper and lower variations.
6) Systematic uncertainties with 'prop_' in the name treat limited background statistics per histogram bin, and are deployed with 'Barlow-Beeston-lite' approach. Details in https://arxiv.org/abs/1103.0354 section 5
7) Remaining systematic uncertainties alter the normalization, the shape, or both for a distribution. The nuisance parameter for such an uncertainty is mapped separately on the normalization and the shape variation components of the uncertainty. For normalization, $\ln$ mapping is used, for shape a spline. Details in https://cms-analysis.github.io/HiggsAnalysis-CombinedLimit/part2/settinguptheanalysis/#binned-shape-analysis
8) All nuisance parameters for the systematic uncertainties are modelled with a Gaussian pdf.
9) Gluon fusion contributions are all scaled to 1 pb. Please combine them using either the scale factors from 'Table SM Gluon Fusion Fractions', or using your own composition.

本数据集针对高不变质量分析（high-mass analysis）中选取用于统计推断的变量，给出其观测分布与预期分布，对应变量为总横向质量$m_{T}^{ ext{tot}}$。本表提供的数值对应论文中的图8a，但仅限定于2018年数据采集年份。所有分布均基于仅背景模型对数据进行拟合后得到，该模型包含希格斯(125)玻色子（$ ext{H}(125)$）。以下为该分布的使用说明：
1) 所有给出的不确定度均对应$pm1sigma$的系统误差变化。
2) YAML格式文件中的"plus"（上值）对应参数的正向系统偏移（$+1sigma$）。
3) YAML格式文件中的"minus"（下值）对应参数的负向系统偏移（$-1sigma$）。
4) 根据所建模的物理效应不同，这些偏移可正可负。
5) 名称相同的不确定度应视为相关联的，在上下偏移中需保持一致的处理方式。
6) 名称中带有"prop_"的系统不确定度用于处理每个直方图分箱的有限背景统计量，采用"Barlow-Beeston-lite（巴洛-比斯顿轻量法）"方法实现，详细说明参见https://arxiv.org/abs/1103.0354的第5节。
7) 其余系统不确定度会改变分布的归一化、形状，或同时改变两者。此类不确定度的讨厌参数（nuisance parameter）会分别映射至不确定度的归一化分量与形状变化分量：归一化分量采用对数映射，形状分量采用样条插值。详细说明参见https://cms-analysis.github.io/HiggsAnalysis-CombinedLimit/part2/settinguptheanalysis/#binned-shape-analysis。
8) 所有对应系统不确定度的讨厌参数均采用高斯概率密度函数（Gaussian pdf）建模。
9) 所有胶子聚变（Gluon fusion）贡献均被缩放至1 pb，请通过"标准模型胶子聚变分数表"（Table SM Gluon Fusion Fractions）中的标度因子，或自行选取的组合方式对其进行合并。