"Constrained Signal Channels Covariance Matrix" of "Enhanced Search for Neutral Current $\Delta$ Radiative Single-Photon Production in MicroBooNE"

Covariance matrix showing constrained uncertainties and correlations between bins due to flux uncertainties, cross-section uncertainties, hadron reinteraction uncertainties, detector systematic uncertainties, Monte-Carlo statistical uncertainties, and dirt (outside cryostat) uncertainties. Pearson data statistical uncertainties have been included, and include small correlations due to events which can be selected by both WC and Pandora. The four bins are the WC $1\gamma Np$, WC $1\gamma 0p$, Pandora $1\gamma 1p$, and Pandora $1\gamma 0p$ channels. This corresponds to Fig. 1 and Table II of the paper.

协方差矩阵（Covariance matrix）展示了由通量不确定度（flux uncertainties）、截面不确定度（cross-section uncertainties）、强子再相互作用不确定度（hadron reinteraction uncertainties）、探测器系统不确定度（detector systematic uncertainties）、蒙特卡洛（Monte-Carlo）统计不确定度以及低温恒温器外部环境（dirt）不确定度所引发的分箱间约束不确定度与关联关系。已纳入皮尔逊数据统计不确定度（Pearson data statistical uncertainties），同时包含了可被WC与Pandora同时选取的事件所带来的微小关联。四个分箱分别对应WC 1γNp、WC 1γ0p、Pandora 1γ1p以及Pandora 1γ0p探测道。该协方差矩阵对应本文的图1与表II。