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Light-like Scattering in Quantum Gravity

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arxiv 1609.07477 v3 pith:QLWOAZF2 submitted 2016-09-23 hep-th gr-qchep-ph

N. E. J. Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein , Ludovic Plante , Pierre Vanhove This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords quantumscatteringgeneralgravitylight-likerelativityamplitudeclassical
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider scattering in quantum gravity and derive long-range classical and quantum contributions to the scattering of light-like bosons and fermions (spin-0, spin-1/2, spin-1) from an external massive scalar field, such as the Sun or a black hole. This is achieved by treating general relativity as an effective field theory and identifying the non-analytic pieces of the one-loop gravitational scattering amplitude. It is emphasized throughout the paper how modern amplitude techniques, involving spinor-helicity variables, unitarity, and squaring relations in gravity enable much simplified computations. We directly verify, as predicted by general relativity, that all classical effects in our computation are universal (in the context of matter type and statistics). Using an eikonal procedure we confirm the post-Newtonian general relativity correction for light-like bending around large stellar objects. We also comment on treating effects from quantum hbar dependent terms using the same eikonal method.

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