在次次领先阶从非局域欧几里得关联中抽取介子分布振幅
Extracting Meson Distribution Amplitudes from Nonlocal Euclidean Correlations at Next-to-Next-to-Leading Order
AI总结：
本文首次给出NNLO硬匹配核的完整结果，用于从格点非局域欧几里得关联函数中精确抽取轻介子分布振幅，并展示其对π介子分布振幅的数值影响。
摘要：
我们给出了次次领先阶（NNLO）硬匹配核的首个完整结果，该核对于从等时非局域欧几里得关联函数的格点计算中精确抽取轻介子分布振幅不可或缺。结果同时以坐标空间和动量空间给出，重整化和匹配在最先进的方案中完成。我们的结果既可用于大动量有效理论，也可用于短距离因子化方法。值得注意的是，我们的坐标空间核还可直接应用于非单态夸克非极化和螺旋度广义部分子分布。我们还以π介子分布振幅为例，展示了NNLO匹配的数值影响。
英文摘要：
We present the first complete result for the next-to-next-to-leading order (NNLO) hard matching kernel indispensable for a precision extraction of light meson distribution amplitudes from lattice calculations of equal-time nonlocal Euclidean correlation functions. The results are given in both coordinate and momentum space, with the renormalization and matching accomplished in a state-of-the-art scheme. Our results can be used in both large-momentum effective theory and short-distance factorization approaches. Notably, our coordinate space kernel is directly applicable to nonsinglet quark unpolarized and helicity generalized parton distributions as well. We also illustrate the numerical impact of the NNLO matching, using the pion distribution amplitude as an example.
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