Thresholds in FAPT: Euclid vs Minkowski

2008/10/18 by A. P. Bakulev, Bakulev, Alexander P.
Computer Science · Medicine · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Medical Imaging Techniques and Applications #Numerical Methods and Algorithms #Parallel Computing and Optimization Techniques

paper · pdf · doi:10.48550/arxiv.0810.3315

openalex publication_date 2008/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a short introduction to the Analytic Perturbation Theory (APT) in QCD, describe its problems and suggest as a tool for their resolution the Fractional APT (FAPT). We also describe shortly how to treat heavy-quark thresholds in FAPT. As an applications of this technique we discuss (i) the pion form factor calculation in the Euclidean FAPT and (ii) the Higgs boson decay H⁰→ bb in Minkowskian FAPT. We conclude with comparison of both approaches, Euclidean and Minkowskian FAPT.

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