Physicists crack gravitational wave equations that could improve detection
Researchers have solved a long-standing mathematical puzzle in how objects scatter gravitational waves, opening a path to more precise predictions of colliding black holes and neutron stars. The breakthrough could refine gravitational wave detector sensitivity and advance our ability to test Einstein's theory in extreme conditions.
Originaltitel: Inelastic exponentiation and classical gravitational scattering at one loop
<p>We calculate the inelastic 2 → 3 one-loop amplitude for the scattering of two point-like, spinless objects with generic masses involving the additional emission of a single graviton. We focus on the near-forward, or classical, limit. Our results include the leading and subleading orders in the soft-region expansion, which captures all non-analytic contributions in the transferred momentum and in the graviton’s frequency. This allows us to check the first constraint arising from the inelastic exponentiation put forward in refs. [1,2,3], and to calculate the 2 → 3 one-loop matrix element of the <em>N</em>-operator, linked to the <em>S</em>-matrix by <em>S</em> = <em>e</em><sup><em>iN</em></sup>, showing that it is real, classical and free of infrared divergences. We discuss how our results feature in the calculation of the (<em>G</em><sup>3</sup>) corrections to the asymptotic waveform.</p>