  We calculate the P-shell--to-S-shell decay lifetime \tau(P->S) of electrons
in lens-shaped self-assembled (In,Ga)As/GaAs dots due to Auger electron-hole
scattering within an atomistic pseudopotential-based approach. We find that
this relaxation mechanism leads to fast decay of \tau(P->S)~1-7 ps for dots of
different sizes. Our calculated Auger-type P-shell--to-S-shell decay lifetimes
\tau(P->S) compare well to data in (In,Ga)As/GaAs dots, showing that as long as
holes are present there is no need for an alternative polaron mechanism.
