"Table Aux. Figure 19 $\mu\tau_{h}$ 2016 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 19 of the auxilliary material of the publication, but restricted to $\mu\tau_{h}$ final state and 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.

针对低质量分析中用于统计推断的变量$m_{ au au}$，给出其观测分布与预期分布。本表所载数值对应发表文章辅助材料中的图19，但仅限定于$mu au_{h}$末态与2016年数据采集年份。所有分布均基于包含$ ext{H}(125)$希格斯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细则：
1) 所有给出的不确定度均对应±1σ的系统误差涨落。
2) YAML文件中的"plus"（上值）对应参数的正向系统涨落（+1σ）。
3) YAML文件中的"minus"（下值）对应参数的负向系统涨落（-1σ）。
4) 依据所建模的物理效应不同，此类涨落可正可负。
5) 名称相同的不确定度应视为相关，且在上下涨落的处理中保持一致。
6) 名称中带有"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"方法进行修正，详细说明见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，或同时改变二者。此类不确定度对应的干扰参数(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：归一化分量采用自然对数映射，形状分量采用样条插值映射。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干扰参数均采用高斯概率密度函数（probability density function, PDF）建模。
9) 胶子聚变（Gluon fusion）的贡献均已按1 pb进行标度。请通过"Table SM Gluon Fusion Fractions"表中的标度因子，或自行组合的方式对其进行合并。