2019/05/31 by Andreas Brandhuber, Gabriele Travaglini
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gravitation #Graviton #Massless particle #Photon #Pulsars and Gravitational Waves Research #Quantum #Scalar (mathematics) #Scattering #Scattering amplitude #String (physics) #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep01(2020)010
23 pages, 4 figures. v2: typos corrected, one reference added, several comments and clarifications added in Section 2. v3: JHEP version. v4: typos corrected
openalex created_date 2019/05/29 · openalex publication_date 2020/01/01 · arxiv created 2020/08/10 · arxiv updated 2020/08/11 · openalex updated_date 2026/08/05
A bstract Using modern amplitude techniques we compute the leading classical and quantum corrections to the gravitational potential between two massive scalars induced by adding cubic terms to Einstein gravity. We then study the scattering of massless scalars, photons and gravitons off a heavy scalar in the presence of the same R 3 deformations, and determine the bending angle in the three cases from the non-analytic component of the scattering amplitude. Similarly to the Einstein-Hilbert case, we find that the classical contribution to the bending angle is universal, but unlike that case, universality is preserved also by the first quantum correction. Finally we extend our analysis to include a deformation of the form Φ R 2 , where Φ is the dilaton, which arises in the low-energy effective action of the bosonic string in addition to the R 3 term, and compute its effect on the graviton bending.