The Compton Scattering Total Cross Section at Next-to-Leading Order
High Energy Physics - Phenomenology
2021-06-18 v2
Abstract
An analytic formula is given for the total scattering cross section of an electron and a photon at order . 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 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.
Cite
@article{arxiv.2102.06718,
title = {The Compton Scattering Total Cross Section at Next-to-Leading Order},
author = {Roman N. Lee and Matthew D. Schwartz and Xiaoyuan Zhang},
journal= {arXiv preprint arXiv:2102.06718},
year = {2021}
}
Comments
6 pages 1 figure; v2. published version; explicit expressions given in an Appendix and in Mathematica notebook