English

Resummation in (F)APT

High Energy Physics - Phenomenology 2008-03-27 v2

Abstract

We present new results on the summation of nonpower-series expansions in QCD Analytic Perturbation Theory (APT) in the one-loop approximation. We show how to generalize the approach suggested by one of us earlier to the cases of APT and Fractional APT (FAPT) with heavy-quark thresholds. Using this approach we analyze the Higgs boson decay H0bˉbH^0\to\bar{b}b. We produce estimations of the higher-order corrections importance in (F)APT and present a very transparent interpretation of the resummation results in terms of ΛQCD\Lambda_\text{QCD} shifts.

Keywords

Cite

@article{arxiv.0803.3013,
  title  = {Resummation in (F)APT},
  author = {A. P. Bakulev and S. V. Mikhailov},
  journal= {arXiv preprint arXiv:0803.3013},
  year   = {2008}
}

Comments

Written version of the talk given at the Memorial Igor Solovtsov Seminar, held on January 17--18, 2008, at the Bogoliubov Laboratory of Theoretical Physics, JINR (Dubna). 15 pages, 1 figure, 1 table. Misprints are corrected and style of proceedings is reproduced

R2 v1 2026-06-21T10:23:10.019Z