Resummation Approach in QCD Analytic Perturbation Theory
Abstract
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 g φ 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 D(Q) in the N=4 region of Q and of the Higgs-boson-decay width Γ(mH2) for M=100-180 GeV.
- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- October 2011
- DOI:
- 10.1016/j.nuclphysbps.2011.10.095
- arXiv:
- arXiv:1108.6300
- Bibcode:
- 2011NuPhS.219..193B
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 8 pages, 2 Figures, 3 Tables. Talk presented by the first author at the International HADRON STRUCTURE'11 Conference, Tatranska Strba (Slovakia), June 27--July 1, 2011 and also at the International Conference "NEW TRENDS IN HIGH-ENERGY PHYSICS (experiment, phenomenology, theory)", Alushta, Crimea, Ukraine, September 3--10, 2011