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arXiv · 2102.06718

The Compton Scattering Total Cross Section at Next-to-Leading Order

Roman N. Lee·Matthew D. Schwartz·Xiaoyuan Zhang
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Abstract

An analytic formula is given for the total scattering cross section of an electron and a photon at order $\alpha^3$. 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 $\alpha^3$ 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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Roman N. Lee, Matthew D. Schwartz, Xiaoyuan Zhang. 2021-02-12. The Compton Scattering Total Cross Section at Next-to-Leading Order. https://doi.org/10.1103/physrevlett.126.211801

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