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Compton Scattering Total Cross Section at Next-to-Leading Order
Roman N Lee1, Matthew D Schwartz2, Xiaoyuan Zhang2
1Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia.
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.
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