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We present the first calculation of inclusive jet photoproduction withnext-to-next-to-leading order (NNLO) contributions, obtained from a unifiedthreshold resummation formalism. The leading coefficients for directphotoproduction are computed analytically. Together with the coefficientspertinent to parton-parton scattering, they are shown to agree with thoseappearing in our full next-to-leading order calculations. For hadron-hadronscattering, numerical agreement is found with a previous calculation of jetproduction at the Tevatron. We show that the direct and resolved NNLOcontributions considerably improve the description of final ZEUS data on jetphotoproduction and that the error on the determination of the strong couplingconstant is significantly reduced.

NNLO contributions to jet photoproduction and determination of \alpha_s