Adler function for light quarks in analytic perturbation theory

K. A. Milton, I. L. Solovtsov, and O. P. Solovtsova
Phys. Rev. D 64, 016005 – Published 4 June 2001
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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 nonstrange 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.

  • Received 21 February 2001

DOI:https://doi.org/10.1103/PhysRevD.64.016005

©2001 American Physical Society

Authors & Affiliations

K. A. Milton*

  • Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019

I. L. Solovtsov and O. P. Solovtsova

  • Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia

  • *Email address: milton@mail.nhn.ou.edu
  • Email address: solovtso@thsun1.jinr.ru
  • Email address: olsol@thsun1.jinr.ru

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Issue

Vol. 64, Iss. 1 — 1 July 2001

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