Adler function for light quarks in analytic perturbation theory

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 {open_quotes}light{close_quotes} Adler function corresponding to the nonstrange vector chan...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 2001-07, Vol.64 (1), Article 016005
Main Authors: Milton, K. A., Solovtsov, I. L., Solovtsova, O. P.
Format: Article
Language:English
Subjects:
DECAY
PERTURBATION THEORY
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARKS
VECTORS
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Summary: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 {open_quotes}light{close_quotes} Adler function corresponding to the nonstrange 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 {open_quotes}experimental{close_quotes} Adler function down to the lowest energy scale.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.64.016005