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arXiv · hep-ph/0102254

The Adler Function for Light Quarks in Analytic Perturbation Theory

K. A. Milton·I. L. Solovtsov·O. P. Solovtsova
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Abstract

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 $τ$ 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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K. A. Milton, I. L. Solovtsov, O. P. Solovtsova. 2001-02-20. The Adler Function for Light Quarks in Analytic Perturbation Theory. https://doi.org/10.1103/physrevd.64.016005

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