Classical and tree-level approaches to gravitational deflection in higher-derivative gravity

Abstract

Among the so-called classical tests of general relativity (GR), light bending has been confirmed with an accuracy that increases as times goes by. Here we study the gravitational deflection of photons within the framework of classical and semiclassical higher-derivative gravity (HDG)---the only version of GR that is known up to now to be renormalizable along with its matter couplings. Since our computations are restricted to scales much below the Planck cutoff we need not be afraid of the massive spin-2 ghost that haunts HDG. An upper bound on the constant related to the ${R}_{\ensuremath{\mu}\ensuremath{\nu}}^{2}$ sector of the theory is then found by analyzing---from the classical and semiclassical viewpoints---the deflection angle of a photon passing by the Sun. This upper limit greatly improves that available in the literature.