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arXiv 2106.05660hep-phhep-lat
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大- $β_0$极限和$α_s$抽取中重夸克对子的小动量展开

Small-momentum expansion of heavy-quark correlators in the large-$β_0$ limit and $α_s$ extractions

Diogo Boito, Vicent Mateu, Marcus V. Rodrigues

摘要:

在QCD的大$β_0$极限下,我们计算了矢量、轴矢量、标量和赝标量重夸克流关联函数的小动量展开,将Grozin和Sturm的分析扩展到矢量流之外.我们的结果被用来研究高阶行为的无量纲比率的矢量和赝标量矩用于精确提取的强耦合,$α_s$,从相对论夸克偶素求和规则和晶格数据,分别。我们表明,这些比率受益于主要重正化子奇异性的部分取消。我们的研究结果可以指导设计的时刻与改进的扰动行为的组合。

英文摘要:

We calculate the small-momentum expansion of vector, axial-vector, scalar, and pseudo-scalar heavy-quark current correlators in the large-$β_0$ limit of QCD, extending the analysis of Grozin and Sturm beyond the vector current. Our results are used to study the higher-order behaviour of dimensionless ratios of vector and pseudo-scalar moments used for the precise extraction of the strong coupling, $α_s$, from relativistic quarkonium sum rules and lattice data, respectively. We show that these ratios benefit from a partial cancellation of the leading renormalon singularities. Our results can guide the design of combinations of moments with improved perturbative behaviour.

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。

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