Three-Loop Polarization Function and ${\cal O}(\alpha_s^2)$ Corrections to the Production of Heavy Quarks

K. G. Chetyrkin; J. H. Kuehn; M. Steinhauser

doi:10.1016/S0550-3213(96)00534-2

Three-Loop Polarization Function and ${\cal O}(\alpha_s^2)$ Corrections to the Production of Heavy Quarks

High Energy Physics - Phenomenology 2009-10-28 v1

Authors: K. G. Chetyrkin , J. H. Kuehn , M. Steinhauser

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Abstract

The three-loop vacuum polarization function $\Pi(q^2)$ induced by a massive quark is calculated. A comprehensive description of the method is presented. From the imaginary part the ${\cal O}(\alpha_s^2)$ result for the production of heavy quarks $R(s)=\sigma(e^+e^-\to \mbox{hadrons})/\sigma(e^+e^-\to \mu^+\mu^-)$ can be extracted. Explicit formulae separated into the different colour factors are given.

Keywords

three-loop vacuum polarization heavy quark production alpha_s^2 corrections R(s) ratio color factors

Cite

@article{arxiv.hep-ph/9606230,
  title  = {Three-Loop Polarization Function and ${\cal O}(\alpha_s^2)$ Corrections to the Production of Heavy Quarks},
  author = {K. G. Chetyrkin and J. H. Kuehn and M. Steinhauser},
  journal= {arXiv preprint arXiv:hep-ph/9606230},
  year   = {2009}
}

Comments

28 pages, latex, 29 figures, the complete postscript file of this preprint, including figures, is available via anonymous ftp at ftp://www-ttp.physik.uni-karlsruhe.de/ttp96-13/ttp96-13.ps or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/

Three-Loop Polarization Function and ${\cal O}(\alpha_s^2)$ Corrections to the Production of Heavy Quarks

Abstract

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