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We present the differential predictions for the rapidity distribution of a pair of leptons through the Drell-Yan (DY) process at the LHC taking into account the soft-virtual (SV) as well as next-to soft virtual (NSV) resummation effects in QCD perturbation theory to NNLO + NNLL accuracy. We perform the resummation in two dimensional Mellin space using our recent formalism [1] by limiting ourselves to contributions only from quark anti-quark (q q) initiated channels. The resummed corrections to the fixed order results are computed though a matched formula using the minimal prescription procedure. We find that the resummation at NLL (NNLL) brings about 3.98% (1.24%) corrections respectively to the NLO (NNLO) results at the central scale value of q = MZ for 13 TeV LHC. We also observe that the sensitivity to the renormalisation scale gets improved substantially by the inclusion of NSV resummed predictions at NNLL accuracy. Further, the lack of quark gluon (qg) initiated contributions to NSV part in the NNLL resummed predictions leaves large factorisation scale dependence indicating their importance at NSV level as we go to higher orders in perturbation theory.

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