  The Weak Gravity Conjecture indicates that extremal black holes in the low
energy effective field theory should be able to decay. This criterion gives
rise to non-trivial constraints on the coefficients of higher-order derivative
corrections to gravity. In this paper, we investigate the tidal deformability
of neutral black holes due to higher-order derivative corrections. As a proof
of concept, we consider a correction of cubic order in the Riemann curvature
tensor. The tidal Love numbers of neutral black holes receive leading-order
corrections from higher-order derivative terms, since black holes in pure
General Relativity have vanishing tidal Love number. We conclude that the
interplay between the tidal deformability of black holes and the Weak Gravity
Conjecture provides useful information about the effective field theory.
