"Table Aux. Figure 25 2016 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 25 of the auxilliary material of the publication, but restricted to 2016 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.

本数据集为高质量分析中用于统计推断的变量$m_{T}^{tot}$的观测分布与预期分布。本表给出的数值对应于论文辅助材料中的图25，但仅限定于2016年数据采集周期。所有分布均基于仅包含$ ext{H}(125)$玻色子的仅背景模型（background-only model）对数据进行拟合后得到。以下为该分布的使用说明：
1) 所有给出的不确定度均对应于$pm1sigma$的系统误差涨落。
2) 数值表中的上限值（yaml文件中标记为`plus`）对应参数的正向系统涨落（+$1sigma$）。
3) 下限值（yaml文件中标记为`minus`）对应参数的负向系统涨落（-$1sigma$）。
4) 依据所建模的物理效应，上述涨落可呈现正值或负值。
5) 同名不确定度在上下涨落中应视为完全相关。
6) 名称中带有`prop_`前缀的系统不确定度对应各直方图bin内有限的本底统计涨落，采用`Barlow-Beeston-lite`方法进行处理，详细说明参见https://arxiv.org/abs/1103.0354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。此类不确定度的冗余参数（nuisance parameter）会分别映射至不确定度的归一化分量与形状分量：归一化分量采用$ln$对数映射，形状分量采用样条映射。详细说明参见https://cms-analysis.github.io/HiggsAnalysis-CombinedLimit/part2/settinguptheanalysis/#binned-shape-analysis
8) 所有系统不确定度对应的冗余参数均采用高斯概率密度函数（Gaussian pdf）建模。
9) 胶子聚变（Gluon fusion）的贡献均已归一化至1 pb，请通过“标准模型胶子聚变分数表”（Table SM Gluon Fusion Fractions）中的刻度因子，或自行组合的方式对其进行合并。