Semiclassical Lensing and Radiative Lens Equations

TL;DR

This paper develops a semiclassical framework to incorporate quantum radiative corrections into gravitational lensing equations for photons and neutrinos, analyzing energy-dependent deflections in Schwarzschild and Reissner-Nordstrom metrics.

Contribution

It introduces a method to include quantum radiative effects into classical lens equations, bridging quantum corrections with gravitational lensing in a semiclassical approach.

Findings

Quantum corrections cause energy-dependent deflections.

One-loop Standard Model corrections are comparable to classical predictions.

The approach extends classical lens equations to include radiative effects.

Abstract

We analyze lensing of photons and neutrinos in a gravitational field, proposing a method to include radiative effects in classical lens equations. The study uses Schwarzschild and a Reissner-Nordstrom metrics expanded at second post Newtonian order in the Newtonian potential, employing a semiclassical approach to compare one-loop corrections from the Standard Model with Einstein's deflection formula via an impact parameter representation. We also explore the energy dependence of deflection due to quantum corrections and integrate these with classical lens equations.