Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-07-14
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages; extended presentation of the analytic QCD models in Sec.IV; two references added ([37,38]); version to appear in Phy
Scientific paper
A method of resummation of truncated perturbation series, related to diagonal Pad\'e approximants but giving results independent of the renormalization scale, was developed more than ten years ago by us with a view of applying it in perturbative QCD. We now apply this method in analytic QCD models, i.e., models where the running coupling has no unphysical singularities, and we show that the method has attractive features such as a rapid convergence. The method can be regarded as a generalization of the scale-setting methods of Stevenson, Grunberg, and Brodsky-Lepage-Mackenzie. The method involves the fixing of various scales and weight coefficients via an auxiliary construction of diagonal Pad\'e approximant. In low-energy QCD observables, some of these scales become sometimes low at high order, which prevents the method from being effective in perturbative QCD where the coupling has unphysical singularities at low spacelike momenta. There are no such problems in analytic QCD.
Cvetic Gorazd
Kögerler Reinhart
No associations
LandOfFree
Applying generalized Padé approximants in analytic QCD models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Applying generalized Padé approximants in analytic QCD models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applying generalized Padé approximants in analytic QCD models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-226128