  In this paper we examine the effects of electron-hole asymmetry as a
consequence of strong correlations on the electronic Raman scattering in the
normal state of copper oxide high temperature superconductors. Using
determinant quantum Monte Carlo simulations of the single-band Hubbard model,
we construct the electronic Raman response from single particle Green's
functions and explore the differences in the spectra for electron and hole
doping away from half filling. The theoretical results are compared to new and
existing Raman scattering experiments on hole-doped La$_{2-x}$Sr$_{x}$CuO$_{4}$
and electron-doped Nd$_{2-x}$Ce$_{x}$CuO$_{4}$. These findings suggest that the
Hubbard model with fixed interaction strength qualitatively captures the doping
and temperature dependence of the Raman spectra for both electron and hole
doped systems, indicating that the Hubbard parameter U does not need to be
doping dependent to capture the essence of this asymmetry.
