Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
A bstract Using soft-graviton theorems a well-known zero-frequency limit (ZFL) for the gravitational radiation flux dE GW /dω is re-derived and extended to order $$ \mathcal{O}\left(\omega \right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> <mml:mfenced> <mml:mi>ω</mml:mi> </mml:mfenced> </mml:math> and $$ \mathcal{O}\left({\omega}^2\right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> <mml:mfenced> <mml:msup> <mml:mi>ω</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:mfenced> </mml:math> for …