  We present the general form of a universal soft-collinear distribution
operator to compute the soft-virtual cross-section to
next-to-next-to-next-to-next-to-leading order (N$^4$LO) in QCD for a process
with any number of final state colorless particles in hadron colliders. By
acting this universal operator on the pure virtual corrections, which need to
be computed explicitly for a process, the soft-virtual cross-section can be
obtained. The operator is constructed by exploiting the factorization and
renormalization group evolution of amplitudes in QCD, and the universality of
soft gluon contributions. We also provide the hard coefficient to perform the
threshold resummation to next-to-next-to-next-to-leading logarithmic (N$^3$LL)
accuracy. Furthermore, we present the approximate analytical results of the
soft-virtual cross-sections at N$^4$LO and N$^3$LL for the Higgs boson
production through gluon fusion and bottom quark annihilation, and also for the
Drell-Yan production at the hadronic collider.
