  Hard diffractive production of di-jets in the Tevatron and HERA are explored.
It is argued that a consistent pQCD description of these data can be attained
after s-channel unitarity re-scattering screening corrections are incorporated
in the calculation. To this end a simple procedure is presented in which
information derived from the measured soft total, elastic and diffractive cross
sections simplifies the calculation and makes it parameter free. The above
approach eliminates the inconsistencies seemingly observed when comparing the
rates of diffractive di-jets production in different channels.
