Measurement of the Photon Structure Function $F^\gamma_2$ with the L3 Detector at LEP

The e$^+e^- \to e^+e^-$ hadrons reaction, where one of the two electrons is detected in a low polar-angle calorimeter, is analysed in order to measure the hadronic photon structure function $F^\gamma_2$ . The full high-energy and high-luminosity data set, collected with the L3 detector at centre-of-mass energies 189 GeV $\leq \sqrt{s} \leq$ 209 GeV, corresponding to an integrated luminosity of 608/pb is used. The Q$^2$ range 11 GeV$^2 \leq Q^2$ 34 GeV$^2$ and the $x$ range 0.006$\leq x \leq$ 0.556 are considered. The data are compared with recent parton density functions.