Experimental study of the reactionse+e−→e+e−ande+e−→γγ at 29 GeV
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Abstract
This paper reports measurements of the differential cross sections for the reactions ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$\ensuremath{\rightarrow}${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$ (Bhabha scattering) and ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma} (\ensuremath{\gamma}-pair production). The reactions are studied at a center-of-mass energy of 29 GeV and in the polar-angular region \ensuremath{\Vert}costheta\ensuremath{\Vert}<0.55. A direct cross-section comparison between these two reactions provides a sensitive test of the predictions of quantum electrodynamics (QED) to order ${\ensuremath{\alpha}}^{3}$. When the ratio of \ensuremath{\gamma}-pair to Bhabha experimental cross sections, integrated over \ensuremath{\Vert}costheta\ensuremath{\Vert}<0.55, is divided by the same ratio predicted from ${\ensuremath{\alpha}}^{3}$ QED theory, the result is 1.007\ifmmode\pm\else\textpm\fi{}0.009\ifmmode\pm\else\textpm\fi{}0.008. The 95%-confidence limits on the QED-cutoff parameters are ${\ensuremath{\Lambda}}_{+}$>154 GeV and ${\ensuremath{\Lambda}}_{\mathrm{\ensuremath{-}}}$>220 GeV for Bhabha scattering, and ${\ensuremath{\Lambda}}_{+}$>59 GeV and ${\ensuremath{\Lambda}}_{\mathrm{\ensuremath{-}}}$>59 GeV for \ensuremath{\gamma}-pair production.
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