Low-energy $e^{+}{e}^{-}\to \gamma \gamma$ at NNLO in QED

Abstract

We present a fully differential computation of $e^{+}{e}^{-}\to \gamma \gamma$ at next-to-next-to-leading order in QED. The process has been implemented into McMule, completing its set of next-to-next-to-leading-order calculations for the most important $2\to 2$ processes. The results allow for generic applications to electron-positron colliders with centre-of-mass energies up to a few GeV, particularly for luminosity measurements.

Comments: 10 pages, 4 figures; accepted by PLB