INCLUSIVE JET PRODUCTION WITH VIRTUAL PHOTONS IN NEXT-TO-LEADING ORDER QCD

We present a next-to-leading order calculation for the virtual photopr oduction of one and two jets in ep collisions. Soft and collinear sing ularities are extracted using the phase space slicing method. The coll inear photon initial state singularity depends logarithmically on the mass of the virtual photon and is absorbed into the virtual photon str ucture function. An MS factorization scheme is defined similarly to th e real photon case. Numerical results are presented for HERA condition s using the Snowmass jet definition for inclusive single jet and dijet cross sections. We study the dependence of these cross sections on th e transverse energies and rapidities of the jets. Finally we compare t he ratio of the experimentally defined resolved and direct cross secti ons with recent ZEUS data as a function of the photon virtuality P-2.