  We present a formalism that sums up the soft-virtual (SV) and next-to-SV
(NSV) diagonal contributions to inclusive colorless productions in hadron
colliders to all orders in perturbative QCD. Using factorisation theorem,
renormalisation group invariance and employing the transcendental structure of
perturbative results, we show the exponential behavior of soft-collinear
function. This allows us to predict certain SV and NSV terms to all orders from
lower order information. We also present an integral representation for the
coefficient functions which is suitable for Mellin $N$-space resummation.
