  The complete next-to-next-to leading order (NNLO) QCD correction matched with
next-to-next-to leading logarithm (NNLL) has been studied for Drell-Yan
production through spin-2 particle at the Large hadron collider (LHC). We
consider generic spin-2 particle which couples differently to the quarks and
the gluons (non-universal scenario). The threshold enhanced analytical
coefficient has been obtained up to third order exploiting the universality of
the soft function as well as the process dependent form factors at the same
order. We performed a detailed phenomenological analysis and give prediction
for the 13 TeV LHC for the search of such BSM signature. We found that the
matched correction at the second order gives sizeable corrections over wide
range of invariant mass of the lepton pair. The scale variation also stabilizes
at this order and reduces to 4%. As a by-product we also provide ingredients
for third order soft-virtual (SV) prediction as well as resummation and study
the impact on LHC searches.
