  We present a formalism that sums up both soft-virtual (SV) and next to SV
(NSV) contributions to all orders in perturbative QCD for the rapidity
distribution of any colorless particle produced in hadron colliders. We have
exploited the factorization properties and the renormalisation group (RG)
invariance of the differential cross-section to achieve this. Using the
state-of-the-art multiloop and multileg results, we determine the complete NSV
contributions to third order in strong coupling constant for the rapidity
distributions for a pair of leptons in Drell-Yan and also for Higgs boson in
gluon fusion as well as bottom quark annihilation. Using the integral
representation of our all order $z$ space result, we show how the NSV
contributions can be resummed in two-dimensional Mellin space.
