Worldline path integral for the massive graviton

We compute the counterterms necessary for the renormalization of the one-loop effective action of massive gravity from a worldline perspective, employing the recently proposed massive N=4 spinning particle model to describe the massive graviton in first quantization. Constructing the worldline path integral on the one-dimensional torus allows for the correct calculation of the one-loop divergencies in arbitrary D dimensions. Our primary contribution is the determination of the Seleey-DeWitt coefficient a₃(D), which was previously not known in the literature.