Brodsky-Lepage-Mackenzie优化在$\{β\}$ -展开式和最大保形原理下的推广
Generalization of the Brodsky-Lepage-Mackenzie optimization within the $\{β\}$-expansion and the Principle of Maximal Conformality
摘要：
我们讨论了重整化群不变量的BLM优化过程的推广。在这方面，我们详细讨论的特点和建设的$\{β\}$ -展开表示，而不是标准的微扰级数关于Adler $D$ -功能和Bjorken极化和规则，得到的顺序${\cal O}(α_s^4)$。基于$\{β\}$ -扩展，我们分析了不同的优化方案，包括最大保形性的校正原则，数值说明他们的结果。我们建议我们的方案的系列优化，并将其应用到上述两个数量。
英文摘要：
We discuss generalizations of the BLM optimization procedure for renormalization group invariant quantities. In this respect, we discuss in detail the features and construction of the $\{β\}$--expansion representation instead of the standard perturbative series with regards to the Adler $D$-function and Bjorken polarized sum rules obtained in order of ${\cal O}(α_s^4)$. Based on the $\{β\}$--expansion we analyse different schemes of optimization, including the corrected Principle of Maximal Conformality, numerically illustrating their results. We suggest our scheme for the series optimization and apply it to both the above quantities.
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