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We investigate the interaction of spin-2 fields with those of Standard Modelin a model independent framework. We have considered interactions where thespin-2 fields couple to two sets of gauge invariant tensorial operators thatare not conserved unlike the energy momentum tensor with different couplingstrengths. Such interactions not only change the ultraviolet behaviour of thecouplings but also expand the scope of the searches of spin-2 particles at thecolliders. We present all the relevant renormalisation constants up to threeloop level in QCD and also the form factors that contribute to potentialobservables. This sets the ground to investigate the phenomenologicalconsequences of these interactions with spin-2 fields through more than onetensorial operator.

Three loop form factors of a massive spin-2 particle with nonuniversal coupling