"Table Aux. Figure 24 2018 Low-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 low-mass analysis $m_{\tau\tau}$. Numerical values provided in this table correspond to Figure 24 of the auxilliary material of the publication, but restricted to 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.

低质量分析中用于统计推断的变量$m_{ au au}$的观测分布与预期分布。本表格中的数值对应于该出版物辅助材料中的图24，但仅限2018年数据采集年份的数据。所有分布均为使用仅背景模型对数据进行拟合后得到的结果，该模型包含$ ext{H}(125)$玻色子。关于分布使用方式的若干细节如下：

1) 所有给出的不确定度均对应于$pm1sigma$的系统偏差。
2) 上限值（yaml文件中的'plus'）对应参数的向上系统偏差（$+1sigma$）。
3) 下限值（yaml文件中的'minus'）对应参数的向下系统偏差（$-1sigma$）。
4) 这些偏差的取值可正可负，具体取决于所建模的效应。
5) 名称相同的不确定度应视为相关，且在上下偏差中保持一致。
6) 名称中包含'prop_'的系统不确定度用于处理直方图每个bin中有限的背景统计量，并采用'Barlow-Beeston-lite'方法。详情见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。此类不确定度对应的干扰参数（nuisance parameter）分别映射到不确定度的归一化分量和形状偏差分量。归一化采用对数映射（ln mapping），形状采用样条映射。详情见https://cms-analysis.github.io/HiggsAnalysis-CombinedLimit/part2/settinguptheanalysis/#binned-shape-analysis
8) 所有系统不确定度的干扰参数均采用高斯概率密度函数（Gaussian pdf）建模。
9) 胶子聚变（gluon fusion）的贡献均已缩放至1 pb。请使用‘标准模型胶子聚变分数表（Table SM Gluon Fusion Fractions）’中的缩放因子进行组合，或自行组合。