Two-loop Resummation in Fractional Analytic Perturbation Theory
High Energy Physics - Phenomenology
2017-08-23 v1
Abstract
This talk describes the resummation approach in (Fractional) Analytic Perturbation Theory (FAPT) in QCD. First, we make a short historical review of the (F)APT approach and then shortly describe the global scheme of FAPT which allows one to take into account heavy-quark thresholds. After that we show how it is possible to resum a non-power series in (F)APT both in the one- and two-loop approximations. As an application we suggest our analysis of the Higgs boson decay , important for the LHC program, and of the vector-current Adler function.
Keywords
Cite
@article{arxiv.1010.6174,
title = {Two-loop Resummation in Fractional Analytic Perturbation Theory},
author = {Alexander P. Bakulev},
journal= {arXiv preprint arXiv:1010.6174},
year = {2017}
}
Comments
11 pages; 3 figures; invited talk given at the 16th International Seminar "Quarks-2010", Kolomna (Russia), June 6--12, 2010