Measurement and QCD Interpretation of the Inclusive Deep-Inelastic Scattering Cross Section by H1

Deep inelastic electron proton collisions are a straightforward tool to study the QCD dynamics between quarks and gluons in the proton. A recent measurement and QCD analysis of the deep inelastic scattering cross section by the H1 experiment at HERA are presented. In a NLO QCD analysis of H1 structure function data, the gluon distribution in the proton is extracted to typically 3% experimental accuracy at low Bjorken x.. In a combined analysis of H1 and high precision µp data by the CERN muon experiment BCDMS, the gluon distribution at low x and the strong coupling constant as were for the first time extracted simultaneously.The strong coupling constant is determined with about 1% experimental accuracy, and QCD at NLO is confirmed over 5 orders of magnitude of Bjorken x at a new level of precision.