The Adler Function for Light Quarks in Analytic Perturbation Theory

Details The Adler Function for Light Quarks in Analytic Perturbation Theory The Adler Function for Light Quarks in Analytic Perturbation Theory

2001-02-20

arxiv.org/abs/hep-ph/0102254v1

Phys.Rev. D64 (2001) 016005

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, one ps figure, REVTeX

Scientific paper

10.1103/PhysRevD.64.016005

The method of analytic perturbation theory, which avoids the problem of ghost-pole type singularities and gives a self-consistent description of both spacelike and timelike regions, is applied to describe the "light" Adler function corresponding to the non-strange vector channel of the inclusive decay of the $\tau$ lepton. The role of threshold effects is investigated. The behavior of the quark-antiquark system near threshold is described by using a new relativistic resummation factor. It is shown that the method proposed leads to good agreement with the ``experimental'' Adler function down to the lowest energy scale.

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