Precision control in lattice calculation of x-dependent pion distribution amplitude
Precision control in lattice calculation of x-dependent pion distribution amplitude
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DOI：
10.1016/j.nuclphysb.2023.116282
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发表时间：
2023-01
影响因子：
2.8
通讯作者：
Jack Holligan;X. Ji;Huey-Wen Lin;Yushan Su;Rui Zhang
中科院分区：
文献类型：
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作者：
Jack Holligan;X. Ji;Huey-Wen Lin;Yushan Su;Rui Zhang
我们提出了一种新的Bjorken x依赖分析方法，分析了具有三个晶格间距a=0.06，0.09，0.12fm的MILC组态的介子分布幅度与先前晶格量子色动力学数据的关系。重整化中领先的重整化恢复以及大动量展开框架下的微扰匹配核产生了光锥振幅匹配的功率精度。同时，对动量为1.72GeV的介子内部的夸克动量x Pz和反夸克动量(1−x)Pz进行了小的动量对数恢复，使我们能够在中区更准确地确定x的依赖关系。最后，我们利用短程因子分解和大动量展开之间的互补性来约束端点区域x∼0，1，从而得到了振幅的全范围x依赖关系。
We present a new Bjorken x-dependence analysis of a previous lattice quantum chromodynamics data for the pion distribution amplitude from MILC configurations with three lattice spacing a= 0.06, 0.09, 0.12 fm. A leading renormalon resummation in renormalization as well as the perturbative matching kernel in the framework of large momentum expansion generates the power accuracy of the matching to the light-cone amplitude. Meanwhile, a small momentum log resummation is implemented for both the quark momentum x P z and the antiquark momentum (1− x) P z inside a meson of boost momentum P z up to 1.72 GeV along the z direction, allowing us to have more accurate determination of the x-dependence in the middle range. Finally, we use the complementarity between the short-distance factorization and the large momentum expansion to constrain the endpoint regions x∼ 0, 1, thus obtaining the full-range x-dependence of the amplitude.