Abstract
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.
Highlights
An analytic formula is given for the total scattering cross section of an electron and a photon at order α3 in QED
Very few analytic results are known for total cross sections beyond the leading order
The complete analytical result for the total cross section of the latter was first computed only recently [11], confirming the leading highenergy asymptotics of Bethe and Heitler
Summary
An analytic formula is given for the total scattering cross section of an electron and a photon at order α3 in QED. 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 computed using differential equations. Very few analytic results are known for total cross sections beyond the leading order.
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