Two-loop Resummation in Fractional Analytic Perturbation Theory

Details Two-loop Resummation in Fractional Analytic Perturbation Theory Two-loop Resummation in Fractional Analytic Perturbation Theory

2010-10-29

arxiv.org/abs/1010.6174v1

Proceedings of the 16th International Seminar {Quarks-2010}, Kolomna, Russia, 6--12 June 2010, pp. 22--32

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages; 3 figures; invited talk given at the 16th International Seminar "Quarks-2010", Kolomna (Russia), June 6--12, 2010

Scientific paper

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 ${H^0\to b\bar{b}}$, important for the LHC program, and of the vector-current Adler function.

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