标题： 评估现代核子-核子势中的相关截断误差 显示英文标题

标题： Assessing Correlated Truncation Errors in Modern Nucleon-Nucleon Potentials

摘要： 我们对相关有效场论（EFT）截断误差的BUQEYE模型在Reinert、Krebs和Epelbaum的半局部动量空间实现的规范EFT（$\chi$EFT）展开的核子-核子（NN）势上进行了测试。 该贝叶斯模型假设从逐阶修正中提取的无量纲系数函数可以视为来自高斯过程（GP）的抽样。 我们结合多种图形和统计诊断方法，评估预测可观测量何时具有与假设的GP统计模型一致的$\chi$EFT收敛模式。 我们的结论是：首先，BUQEYE模型通常适用于此处研究的势，这使得能够对更高EFT阶次对可观测量的影响进行统计上有根据的估计。 其次，定义提取系数的参数，如展开参数$Q$，必须被很好地选择，以使系数表现出规律的收敛模式——我们利用这一性质来获得这些量的后验分布。 第三，实验室能量和散射角之间GP平稳性的假设并不总是成立；这需要在未来工作中进行调整。 我们提供了分析框架的工作流程和解释指南，并展示了关于$Q$的概率分布、EFT破坏尺度$\Lambda_b$、与$\chi$EFT势中软物理相关的尺度$m_{\rm eff}$以及GP超参数可以推断出的内容。 我们所有的结果都可以使用一个公开的 Jupyter 笔记本重现，该笔记本可以轻松修改以分析其他 $\chi$EFT NN 势能。 显示英文摘要

摘要： We test the BUQEYE model of correlated effective field theory (EFT) truncation errors on Reinert, Krebs, and Epelbaum's semi-local momentum-space implementation of the chiral EFT ($\chi$EFT) expansion of the nucleon-nucleon (NN) potential. This Bayesian model hypothesizes that dimensionless coefficient functions extracted from the order-by-order corrections to NN observables can be treated as draws from a Gaussian process (GP). We combine a variety of graphical and statistical diagnostics to assess when predicted observables have a $\chi$EFT convergence pattern consistent with the hypothesized GP statistical model. Our conclusions are: First, the BUQEYE model is generally applicable to the potential investigated here, which enables statistically principled estimates of the impact of higher EFT orders on observables. Second, parameters defining the extracted coefficients such as the expansion parameter $Q$ must be well chosen for the coefficients to exhibit a regular convergence pattern -- a property we exploit to obtain posterior distributions for such quantities. Third, the assumption of GP stationarity across lab energy and scattering angle is not generally met; this necessitates adjustments in future work. We provide a workflow and interpretive guide for our analysis framework, and show what can be inferred about probability distributions for $Q$, the EFT breakdown scale $\Lambda_b$, the scale associated with soft physics in the $\chi$EFT potential $m_{\rm eff}$, and the GP hyperparameters. All our results can be reproduced using a publicly available Jupyter notebook, which can be straightforwardly modified to analyze other $\chi$EFT NN potentials.