  We show the equality between macroscopic and microscopic black hole entropy
for a class of four dimensional non-supersymmetric black holes in ${\cal N}=2$
supergravity theory, up to the first subleading order in their charges. This
solves a long standing entropy puzzle for this class of black holes. The
macroscopic entropy has been computed in the presence of a newly derived
higher-derivative supersymmetric invariant of \cite{{Butter:2013lta}},
connected to the five dimensional supersymmetric Weyl squared Lagrangian.
Microscopically, the crucial role in obtaining the equivalence is played by the
anomalous gauge gravitational Chern-Simons term.

High Energy Physics - Theory