  We prove sharp $L^\infty$ decay and modified scattering for the Hartree
nonlinear Schr\"odinger equation in dimensions $2$ and $3$ using the testing by
wavepackets method of Ifrim and Tataru. We show that the scattering behavior
happens at a regularity well below that of earlier results of Hayashi-Naumkin
and Kato-Pusateri.
