Resummation Approach in QCD Analytic Perturbation Theory

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• 作者：Alexander P. Bakulev ; Irina V. Potapova^*
• 关键词：Renormalization group ; QCD ; Analytic Perturbation Theory ; Nonpower Series Resummation ; Adler function ; Higgs boson decay
• 刊名：Nuclear Physics B - Proceedings Supplements
• 出版年：2011
• 出版时间：September 2011
• 年：2011
• 卷：219-220
• 期：Complete
• 页码：193-200
• 全文大小：220 K

文摘

We discuss the resummation approach in QCD Analytic Perturbation Theory (APT). We start we a simple example of asymptotic ower series for a zero-dimensional analog of the scalar 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)PT 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 in the region of and of the Higgs-boson-decay width for .