Brief note on high-multipole Kerr tails

In this note we reconsider the late-time, power-law decay rate of scalar fields in a Kerr space-time background. We implement a number of mathematical and computational enhancements to our time-domain, (2+1)D Teukolsky evolution code and are able to obtain reliable decay rates for multipoles as high as $\ell=16$. Our numerical results suggest full agreement with the proposed decay expressions in recent work for both the finite distance, and null infinity cases. We also study the same in the context of extremal Kerr space-time and find that the same results hold, except that the horizon tails follow the null infinity expressions instead.