Massive Quark Production in Electron Positron Annihilation to Order $α_s^2$

Details Massive Quark Production in Electron Positron Annihilation to Order $α_s^2$ Massive Quark Production in Electron Positron Annihilation to Order $α_s^2$

1997-11-13

arxiv.org/abs/hep-ph/9711327v1

Eur.Phys.J.C2:137-150,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages (Latex), 16 figures (Postscript)

Scientific paper

10.1007/s100520050128

Recent analytical and numerical results for the three-loop polarization function allow to present a phenomenological analysis of the cross section for massive quark production in electron positron annihilation to order $\alpha_s^2$. Numerical predictions based on fixed order perturbation theory are presented for charm and bottom production above 5 and 11.5 GeV, respectively. The contribution from these energy regions to $\alpha(M_Z^2)$, the running QED coupling constant at scale M_Z, are given. The dominant terms close to threshold, i.e. in an expansion for small quark velocity $\beta$, are presented.

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