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arXiv 0909.5544hep-ph
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QCD分数阶解析微扰理论中的恢复

Resummation in QCD Fractional Analytic Perturbation Theory

Alexander P. Bakulev

摘要:

本文描述了由Radyushkin,Krasnikov,Schrivarov,Shirkov和Solovtsov提出的QCD观测量的解析微扰理论(APT)推广到分数阶耦合幂次的情形--分数阶APT(FAPT)。简要概述了FAPT的基本方面。我们描述了如何在FAPT中处理重夸克阈值,然后展示了如何在单圈APT和FAPT中恢复微扰级数。作为应用,我们考虑了希格斯玻色子衰变$H^0\to b\bar{b}$的FAPT描述.主要结论是:为了达到1%的精度,它是足够的考虑到第三次校正。

英文摘要:

We describe the generalization of Analytic Perturbation Theory (APT) for QCD observables, initiated by Radyushkin, Krasnikov, Pivovarov, Shirkov and Solovtsov, to fractional powers of coupling -- Fractional APT (FAPT). The basic aspects of FAPT is shortly summarized. We describe how to treat heavy-quark thresholds in FAPT and then show how to resum perturbative series in both the one-loop APT and FAPT. As an application we consider FAPT description of the Higgs boson decay $H^0\to b\bar{b}$. The main conclusion is: To achieve an accuracy of the order of 1% it is enough to take into account up to the third correction.

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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