论文标题
$ξ$ - amoments的限制条件是用QCD总规则计算的，上方的分布幅度模型
Constraint of $ξ$-moments calculated with QCD sum rules on the pion distribution amplitude models
论文作者
论文摘要
到目前为止，开创性领先分布幅度（da）$ ϕ_ {2;π}（x，μ）$ - $的行为是通用的物理量，并根据分解定理$ - $ - $ - $ - $ - $ - $ - $ - 并不完全一致。 $ ϕ_ {2;π}（x，μ）$的形式通常由现象学模型描述，并受到包含PION的独家过程的实验数据或用QCD总规则和晶格QCD理论计算的矩的实验数据。显然，对于我们来说，确定$ ϕ_ {2;π}（x，μ）$的确切行为非常重要。 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轻型全息广告/QCD和简单的幂律参数化形式。
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.
