Radiative Corrections to the Photon + 1 Jet Rate at LEP

Abstract

We present the results of a calculation of the rate for the annihilation of an $e^+e^-$ pair into a jet containing an energetic photon and a single further jet at order $αα_{s}$. By comparing these results with the existing data on the photon + 1 jet rate from the ALEPH Collaboration, we make a first determination of the process independent quark-to-photon fragmentation function $D_{q \to γ}(z,μ_{F})$ at order $αα_{s}$. We also compare our prediction for the inclusive photon energy spectrum with the recent OPAL measurement.