Measurement of the leptonic structure functions of the photon at PEP

At beam energies available at the PEP e+e- storage ring at the Stanford Linear Accelerator Center the cross-section for two-photon particle production is sufficiently large to warrant an investigation of this O(α4) process. Of particular interest is the two-photon process ee → eeμμ at non-zero Q2. This channel is not only relatively easy to observe experimentally but also serves as a model for the process ee → eeq anti q. For the case of inelastic eγ scattering the cross-section could be parameterized in terms of the photon structure functions F1(x,Q2) and F2(x,Q2). In this thesis, data will be presented on the process ee → eeμμ collected by the Two-Photon collaboration (PEP-9) at PEP. For the subset of data which proceeds by inelastic eγ scattering a procedure will be presented for extracting the QED photon structure functions and apply this method to the data