On higherderivative effects on the gravitational potential and particle bending
Abstract
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 nonanalytic component of the scattering amplitude. Similarly to the EinsteinHilbert 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 ΦR^{2}, where Φ is the dilaton, which arises in the lowenergy effective action of the bosonic string in addition to the R^{3} term, and compute its effect on the graviton bending.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2020
 DOI:
 10.1007/JHEP01(2020)010
 arXiv:
 arXiv:1905.05657
 Bibcode:
 2020JHEP...01..010B
 Keywords:

 Scattering Amplitudes;
 Effective Field Theories;
 Models of Quantum Gravity;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 23 pages, 4 figures. v2: typos corrected, one reference added, several comments and clarifications added in Section 2. v3: JHEP version