论文标题
将LHC数据中的实验相关性正规化:理论和应用Parton分布的全球分析
Regularising experimental correlations in LHC data: theory and application to a global analysis of parton distributions
论文作者
论文摘要
我们展示了高精度LHC测量中实验不确定性相关性的不准确确定如何破坏相关$χ^2 $的可靠性。我们严格提出问题,并设计一种正规化程序,该程序通过尽可能少地改变测量的协方差矩阵来增加$χ^2 $的稳定性。我们将程序应用于使用大量LHC测量值的Parton分布函数的NNPDF4.0全局分析。我们发现NNPDF4.0的正规化$χ^2 $降低了约3σ$,而没有在改装后显着更改所得的PDF。
We show how an inaccurate determination of experimental uncertainty correlations in high-precision LHC measurements may undermine the reliability of the associated $χ^2$. We formulate the problem rigorously, and devise a regularisation procedure that increases the stability of the $χ^2$ by altering the covariance matrix of the measurement as little as possible. We apply the procedure to the NNPDF4.0 global analysis of parton distribution functions that utilises a large amount of LHC measurements. We find that the regularised $χ^2$ of the NNPDF4.0 determination is lowered by about $3σ$, without significantly altering the resulting PDFs upon refitting.