  We study the phenomenological impact of the interaction of spin-2 fields with
those of the Standard Model in a model independent framework up to
next-to-next-to-leading order in perturbative Quantum Chromodynamics. We use
the invariant mass distribution of the pair of leptons produced at the LHC to
demonstrate this. A minimal scenario where the spin-2 fields couple to two
gauge invariant operators with different coupling strengths has been
considered. These operators being not conserved show very different ultraviolet
behaviour increasing the searches options of spin-2 particles at the colliders.
We find that our results using the higher order quantum corrections stabilise
the predictions with respect to renormalisation and factorisation scales. We
also find that corrections are appreciable which need to be taken into account
in such searches at the colliders.
