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

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

1996-06-05

arxiv.org/abs/hep-ph/9606230v1

Nucl.Phys. B482 (1996) 213-240

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, latex, 29 figures, the complete postscript file of this preprint, including figures, is available via anonymous ftp

Scientific paper

10.1016/S0550-3213(96)00534-2

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.

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