  We present the threshold N$^3$LO perturbative QCD corrections to the rapidity
distributions of dileptons in the Drell-Yan process and Higgs boson in gluon
fusion. Sudakov resummation of QCD amplitudes, renormalization group
invariance, and the mass factorization theorem provide useful guidelines to
obtain them in an elegant manner. We use various state of the art three loop
results that have been recently available to obtain these distributions. For
the Higgs boson, we demonstrate numerically the importance of these corrections
at the LHC.
