arXiv 2209.024932022-09-06hep-ph

基于QCD求和规则计算的$ξ$-矩对π介子分布振幅模型的约束

Constraint of $ξ$-moments calculated with QCD sum rules on the pion distribution amplitude models

Tao Zhong, Zhi-Hao Zhu, Hai-Bing Fu

备注：: 10 pages, 2 figures
发表信息：: Chin. Phys. C \textbf{47} (2023) no.1, 013111
DOI：: 10.1088/1674-1137/ac9deb

阅读 PDF

arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文采用最小二乘法拟合基于背景场理论的QCD求和规则计算的$ξ$-矩，对文献中常用的多种π介子主导扭曲分布振幅模型进行了约束分析。

摘要：

迄今为止，π介子主导扭曲分布振幅(DA) $ϕ_{2;π}(x,μ)$ ——作为一个普适的物理量，基于因子化定理进入涉及π介子的高能过程——其行为尚未完全一致。$ϕ_{2;π}(x,μ)$的形式通常由唯象模型描述，并受到含π介子的遍历过程的实验数据或用QCD求和规则和格点QCD理论计算的矩的约束。显然，合适的模型对我们确定$ϕ_{2;π}(x,μ)$的精确行为非常重要。本文采用最小二乘法拟合基于背景场理论用QCD求和规则计算的$ξ$-矩，对文献中几种常用的π介子主导扭曲DA模型进行了分析，如Gegenbauer多项式级数的截断形式、光锥谐振子模型、Dyson-Schwinger方程导出的形式、光前全息AdS/QCD模型以及简单的幂律参数化形式。

英文摘要：

So far, the behavior of the pionic leading-twist distribution amplitude (DA) $ϕ_{2;π}(x,μ)$ $-$ which is universal physical quantity and enters the high-energy processes involving pion based on the factorization theorem $-$ has not been completely consistent. The form of $ϕ_{2;π}(x,μ)$ is usually described by phenomenological models and constrained by the experimental data of the exclusive processes containing pion or the moments calculated with the QCD sum rules and lattice QCD theory. Obviously, an appropriate model is very important for us to determine the exact behavior of $ϕ_{2;π}(x,μ)$. In this paper, by adopting the least squares method to fit the $ξ$-moments calculated with QCD sum rules based on the background field theory, we perform an analysis for several commonly used models of the pionic leading-twist DA in the literature, such as the truncation form of the Gegenbauer polynomial series, the light-cone harmonic oscillator model, the form from the Dyson-Schwinger equations, the model from the light-front holographic AdS/QCD and a simple power-law parametrization form.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

AI总结：

摘要：

英文摘要：

相关论文