  We consider hadronic production of a Z boson in association with a jet and
study one- and two-loop electroweak logarithmic corrections in the region of
high Z-boson transverse momentum, p_T >> M_Z, including leading and
next-to-leading logarithms. Numerical results for the LHC and Tevatron
colliders are presented. At the LHC these corrections amount to tens of per
cent and will be important for interpretation of the measurements.
