Compton Scattering Total Cross Section at Next-to-Leading Order
Roman N. Lee, Matthew D. Schwartz, and Xiaoyuan Zhang
Phys. Rev. Lett. 126, 211801 – Published 24 May 2021 https://doi.org/10.1103/PhysRevLett.126.211801
An analytic formula is given for the total scattering cross section of an electron and a photon at order α^3 in QED. This includes both the double-Compton scattering real-emission contribution as well as the virtual Compton scattering part. When combined with the recent analytic result for the pair-production cross section, the complete α^3 cross section is now known. Both the next-to-leading order calculation as well as the pair-production cross section are computed using modern multiloop calculation techniques, where cut diagrams are decomposed into a set of master integrals that are then computed using differential equations.