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Behavior of the effective QCD coupling α τ(s) at low scales

Brodsky, Stanley J. ; Menke, Sven ; Merino, Carlos and Rathsman, Johan LU (2003) In Physical Review D 67(5).
Abstract

The hadronic decays of the τ lepton can be used to determine the effective charge ατ(m τ 2,) for a hypothetical τ lepton with a mass in the range 0<m τ,<mτ. This definition provides a fundamental definition of the QCD coupling at low mass scales. We study the behavior of α τ at low mass scales directly from first principles and without any renormalization-scheme dependence by looking at the experimental data from the OPAL Collaboration. The results are consistent with the freezing of the physical coupling at mass scales s = m τ 2, of order 1 GeV 2 with a magnitude α τ ∼0.9 ±0.1.

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author
; ; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D
volume
67
issue
5
article number
055008
publisher
American Physical Society
external identifiers
  • scopus:0037368488
ISSN
0556-2821
DOI
10.1103/PhysRevD.67.055008
language
English
LU publication?
no
id
5e57a71b-d420-4677-8df9-5d33ecb0efa0
date added to LUP
2019-05-14 13:46:35
date last changed
2022-02-23 02:18:57
@article{5e57a71b-d420-4677-8df9-5d33ecb0efa0,
  abstract     = {{<p>The hadronic decays of the τ lepton can be used to determine the effective charge ατ(m <sub>τ</sub> <sup>2</sup>,) for a hypothetical τ lepton with a mass in the range 0&lt;m <sub>τ</sub>,&lt;mτ. This definition provides a fundamental definition of the QCD coupling at low mass scales. We study the behavior of α <sub>τ</sub> at low mass scales directly from first principles and without any renormalization-scheme dependence by looking at the experimental data from the OPAL Collaboration. The results are consistent with the freezing of the physical coupling at mass scales s = m <sub>τ</sub> <sup>2</sup>, of order 1 GeV <sup>2</sup> with a magnitude α <sub>τ</sub> ∼0.9 ±0.1.</p>}},
  author       = {{Brodsky, Stanley J. and Menke, Sven and Merino, Carlos and Rathsman, Johan}},
  issn         = {{0556-2821}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review D}},
  title        = {{Behavior of the effective QCD coupling α <sub>τ</sub>(s) at low scales}},
  url          = {{http://dx.doi.org/10.1103/PhysRevD.67.055008}},
  doi          = {{10.1103/PhysRevD.67.055008}},
  volume       = {{67}},
  year         = {{2003}},
}