"Table Figure 8c $\mu\tau_{h}$ 2017 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 8c of the publication, but restricted to $\mu\tau_{h}$ final state and 2017 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.

本数据集对应高质量分析中选取用于统计推断的变量$m_ ext{T}^ ext{tot}$的观测分布与预期分布。本表给出的数值对应论文中图8c的内容，但限定于$mu au_ ext{h}$末态与2017年数据获取周期。所有分布均基于仅背景模型对数据开展拟合后得到，该模型包含希格斯玻色子$ 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$pm1sigma$的系统涨落。
2) YAML文件中的"plus"（上侧）值对应参数的正向系统涨落（$+1sigma$）。
3) YAML文件中的"minus"（下侧）值对应参数的负向系统涨落（$-1sigma$）。
4) 根据建模的物理效应，上述涨落的取值可正可负。
5) 同名不确定度应视为相关，在上下侧涨落处理中需保持一致性。
6) 名称带有"prop_"前缀的系统不确定度用于处理每个直方图箱元内有限的背景统计量，采用"Barlow-Beeston-lite"方法进行处理，详细说明见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（$ln$）映射，形状分量采用样条插值。详细说明见https://cms-analysis.github.io/HiggsAnalysis-CombinedLimit/part2/settinguptheanalysis/#binned-shape-analysis
8) 所有系统不确定度对应的讨厌参数均采用高斯概率密度函数（Gaussian pdf）建模。
9) 胶子聚变（Gluon fusion）的贡献均已按1 pb进行标度，请使用"标准模型胶子聚变分数表"中的标度因子或自行组合方式对其进行合并。