  We show within the slave boson technique, that the Anderson lattice model
exhibits a Kondo breakdown quantum critical point (KB-QCP) where the
hybridization goes to zero at zero temper- ature. At this fixed point, the
f-electrons experience as well a selective Mott transition separating a
local-moment phase from a Kondo-screened phase. The presence of a multi-scale
QCP in the An- derson lattice in the absence of magnetism is discussed in the
context of heavy fermion compounds. This study is the first evidence for a
selective Mott transition in the Anderson lattice.
