Methods for evaluating physical processes in strong external fields at e+e- colliders: Furry picture and quasi-classical approach
Stefano Porto, Anthony Hartin, Gudrid Moortgat-Pick

TL;DR
This paper discusses methods to evaluate electron-positron processes in strong external electromagnetic fields at future colliders, focusing on the Furry picture and quasi-classical approach to account for intense beam-beam interactions.
Contribution
It introduces the application of the Furry picture and generalizes the quasi-classical operator method for analyzing processes in strong external fields at high-energy colliders.
Findings
Furry picture provides a simple framework for external field effects.
Generalized quasi-classical method offers an approximation for complex processes.
Strong fields can significantly affect electron-positron collision outcomes.
Abstract
Future linear colliders designs, ILC and CLIC, are expected to be powerful machines for the discovery of Physics Beyond the Standard Model and subsequent precision studies. However, due to the intense beams (high luminosity, high energy), strong electromagnetic fields occur in the beam-beam interaction region. In the context of precision high energy physics, the presence of such strong fields may yield sensitive corrections to the observed electron-positron processes. The Furry picture of quantum states gives a conceptually simple tool to treat physics processes in an external field. A generalization of the quasi-classical operator method (QOM) as an approximation is considered too.
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