Gravitational Radiation from a Particle Falling Radially into a Schwarzschild Black Hole

We have computed the spectrum and energy of gravitational radiation from a "point test particle" of mass $m$ falling radially into a Schwarzschild black hole of mass $M\gg m$. The total energy radiated is about $0.0104m{c}^2\left(\frac{m}{M}\right)$, 4 to 6 times larger than previous estimates; the energy is distributed among multipoles according to the empirical law $E_{2l-\mathrm{p}\mathrm{o}\mathrm{l}\mathrm{e}}\approx \left(\frac{0.44m^2{c}^2}{M}\right)e^{-2l}$; and the total spectrum peaks at an angular frequency $\omega =\frac{0.32c^3}{\mathrm{GM}}$.