  We present high-resolution angle-resolved photoemission spectroscopy studies
of trivalent CeB6 and divalent BaB6 rare-earth hexaborides. We find that the
Fermi surface electronic structure of CeB6 consists of large oval-shape pockets
around the X points of the Brillouin zone, while the states around the zone
centre 'Gamma' point are strongly renormalized. Our first-principles
calculations agree with data around the X points, but not at the 'Gamma'
points, indicating areas of strong renormalization located around 'Gamma'. The
Ce quasi-particle states participate in formation of hotspots at the Fermi
surface, while the incoherent f states hybridize and lead to the emergence of
dispersive features absent in non-f counterpart BaB6. These experimental and
theoretical results provide a new understanding of rare-earth hexaboride
materials.
