Highest-weight truncation, graded EFT structure, and renormalization of black hole Love numbers
This paper demonstrates that the vanishing of static tidal Love numbers in four-dimensional black holes is a structural consequence of a common near-zone truncation mechanism, where horizon regularity forces static solutions into highest-weight representations that eliminate independent decaying branches, thereby excluding static Wilson coefficients and generating a graded algebra of logarithms and zeta values that precludes any static invariant.