  Results from a phenomenological analysis of $W$ and $Z$ hard diffractive
hadroproduction at high energies are reported. Using the Regge factorization
approach, we consider the recent diffractive parton density functions extracted
by the H1 Collaboration at DESY-HERA. In addition, we take into account
multiple Pomeron exchange corrections considering a gap survival probability
factor. It is find that the ratio of diffractive to non-diffractive boson
production is in good agreement with the CDF and D0 data. We make predictions
which could be compared to future measurements at the LHC.
