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arXiv 1108.6300hep-phhep-thmath-phmath.MP
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QCD解析微扰理论中的恢复方法

Resummation Approach in QCD Analytic Perturbation Theory

Alexander P. Bakulev, Irina V. Potapova

摘要:

本文讨论了QCD解析微扰理论(APT)中的重算方法。我们从标量$g\,ϕ^4$模型的零维模拟的渐近幂级数的一个简单例子开始。然后,我们给出了一个简短的历史性的APT的序言,并表明,QCD微扰理论的重整化群改进要求使用分数APT(FAPT)。之后,我们讨论了非幂级数的(F)APT重构,并提供了一个,两个和三个循环的重构配方。我们展示了这些配方的应用程序的结果估计的Adler功能$D(Q^2)$的$Q^2$和希格斯玻色子衰变宽度$Γ_{H\to b\bar{b}}(m_H^2)$的$N_f=4$区域的$M_H=100-180$ GeV $^2$。

英文摘要:

We discuss the resummation approach in QCD Analytic Perturbation Theory (APT). We start with a simple example of asymptotic power series for a zero-dimensional analog of the scalar $g\,ϕ^4$ model. Then we give a short historic preamble of APT and show that renormgroup improvement of the QCD perturbation theory dictates to use the Fractional APT (FAPT). After that we discuss the (F)APT resummation of nonpower series and provide the one-, two-, and three-loop resummation recipes. We show the results of applications of these recipes to the estimation of the Adler function $D(Q^2)$ in the $N_f=4$ region of $Q^2$ and of the Higgs-boson-decay width $Γ_{H\to b\bar{b}}(m_H^2)$ for $M_H=100-180$ GeV$^2$.

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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