$J/\psi$ plus jet associated production in two-photon collisions at next-to-leading order

We calculate the cross section of J / ψ plus jet inclusive production in γγ collisions at next-to-leading order within the factorization formalism of non-relativistic quantum chromodynamics (NRQCD) focusing on direct photoproduction. Apart from direct J / ψ production, we also include the feed-down from directly-produced χ c J and ψ ′ mesons. We discuss the analytical calculation, in particular, the treatment of the various types of singularities and the NRQCD operator renormalization, in some detail. We present theoretical predictions for the future e + e − linear collider TESLA, taking into account both brems- and beamstrahlung