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2014

Gravitational Radiation from Massless Particle Collisions

Gruzinov, Andrei, Veneziano, Gabriele

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We compute classical gravitational bremsstrahlung from the gravitational scattering of two massless particles at leading order in the (center of mass) deflection angle $\theta\sim 4 G \sqrt{s}/b = 8 G E/b \ll 1$.

The calculation, although non-perturbative in the gravitational constant, is surprisingly simple and yields explicit formulae --in terms of multidimensional integrals-- for the frequency and angular distribution of the radiation.
In the range $ b^{-1} < \omega < (GE)^{-1}$, the GW spectrum behaves like $ \log (1/GE\omega) d \omega$, is confined to cones of angular sizes (around the deflected particle trajectories) ranging from $O(\theta)$ to $O(1/\omega b)$, and exactly reproduces, at its lower end, a well-known zero-frequency limit.
At $\omega > (GE)^{-1}$ the radiation is confined to cones of angular size of order $\theta (GE\omega)^{-1/2}$ resulting in a scale-invariant ($d\omega/\omega$) spectrum.

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