Leading singularities and classical gravitational scattering
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Publication:2188678
DOI10.1007/JHEP02(2020)181zbMATH Open1435.83076arXiv1705.10262OpenAlexW3007821622MaRDI QIDQ2188678
Author name not available (Why is that?)
Publication date: 11 June 2020
Published in: (Search for Journal in Brave)
Abstract: In this work we propose to use leading singularities to obtain the classical pieces of amplitudes of two massive particles whose only interaction is gravitational. Leading singularities are generalizations of unitarity cuts. At one-loop we find that leading singularities obtained by multiple discontinuities in the t-channel contain all the classical information. As the main example, we show how to obtain a compact formula for the fully relativistic classical one-loop contribution to the scattering of two particles with different masses. The non-relativistic limit of the leading singularity agrees with known results in the post-Newtonian expansion. We also compute a variety of higher loop leading singularities including some all-loop families and study some of their properties.
Full work available at URL: https://arxiv.org/abs/1705.10262
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