### Inclusive-jet photoproduction at HERA and determination of $\alpha_s$.

Ewald Paul
ADifferential inclusive-jet cross sections have been measured in photoproduction Awith the ZEUS detector at HERA at a centre-of-mass energy of $318\,\GeV$ using an integrated luminosity of $300\,\pb^{-1}$. Cross sections are presented as functions of the jet pseudorapidity, $\eta^\text{jet}$, and the jet transverse energy, $E_T^\text{jet}$. of $\eta^\text{jet}$. The cross sections have the potential to constrain the gluon density in the proton and the photon when included as input to fits to extract the proton parton distribution...