论文标题
分数分析QCD超出领先顺序
Fractional Analytic QCD beyond Leading Order
论文作者
论文摘要
使用标准的逆对数扩展，构建了分数分析QCD超出领先顺序。 结果表明，与通常的QCD耦合常数相反，可以使用此扩展 仅对于其参数的大量值，在分析QCD的情况下，逆对数扩展 适用于分析耦合常数参数的所有值。 我们提出了四种不同的视图，其中两个主要基于聚类和广义的Euler $ζ$ - 函数，而另外两个基于 关于分散积分。 获得至第五阶扰动理论的结果，具有紧凑的形式，并且不包含用于解决的复杂特殊功能 这个问题较早。 例如，我们将结果应用于研究两极分化的Bjorken总规则，该规则目前非常准确地测量。
Fractional analytic QCD is constructed beyond leading order using the standard inverse logarithmic expansion. It is shown that, contrary to the usual QCD coupling constant, for which this expansion can be used only for large values of its argument, in the case of analytic QCD, the inverse logarithmic expansion is applicable for all values of the argument of the analytic coupling constant. We present four different views, two of which are based primarily on Polylogarithms and generalized Euler $ζ$-functions, and the other two are based on dispersion integrals. The results obtained up to the 5th order of perturbation theory, have a compact form and do not contain complex special functions that were used to solve this problem earlier. As an example, we apply our results to study the polarized Bjorken sum rule, which is currently measured very accurately.
