Electroweak studies ine+e−collisions: 12<√s<46.78 GeV

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Abstract

The Mark J Collaboration at the DESY ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$ collider PETRA presents results on the electroweak reactions ${\mathit{e}}^{+}$${\mathit{e}}^{\mathrm{\ensuremath{-}}}$\ensuremath{\rightarrow}${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$${\mathrm{\ensuremath{\tau}}}^{+}$${\mathrm{\ensuremath{\tau}}}^{\mathrm{\ensuremath{-}}}$,${\mathrm{\ensuremath{\mu}}}^{+}$${\mathrm{\ensuremath{\mu}}}^{\mathrm{\ensuremath{-}}}$\ensuremath{\gamma}, and ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$${\ensuremath{\mu}}^{+}$${\ensuremath{\mu}}^{\mathrm{\ensuremath{-}}}$. The c.m. energy range is 12 to 46.78 GeV. In the ${\ensuremath{\mu}}^{+}$${\ensuremath{\mu}}^{\mathrm{\ensuremath{-}}}$ and ${\ensuremath{\tau}}^{+}$${\ensuremath{\tau}}^{\mathrm{\ensuremath{-}}}$ channels the total cross sections and the forward-backward asymmetries are reported and compared with other experiments. The results are in excellent agreement with the standard model. The weak-neutral-current vector and axial-vector coupling constants are determined. The values for muons and \ensuremath{\tau}'s are compatible with universality and with the predictions of the standard model. In the ${\ensuremath{\mu}}^{+}$${\ensuremath{\mu}}^{\mathrm{\ensuremath{-}}}$\ensuremath{\gamma} channel, all measured distributions, including the forward-backward muon asymmetry, are in excellent agreement with the electroweak theory. Our data on the two-photon process, ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$${\ensuremath{\mu}}^{+}$${\ensuremath{\mu}}^{\mathrm{\ensuremath{-}}}$, agrees with QED to order ${\ensuremath{\alpha}}^{4}$ over the entire energy range and the ${Q}^{2}$ range from 0.7 to 166 ${\mathrm{GeV}}^{2}$.

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