Master formulas for N-photon tree level amplitudes in plane wave backgrounds

Patrick Copinger (Centre for Mathematical Sciences, University of Plymouth, Plymouth PL4 8AA, United Kingdom) ; James P. Edwards (Centre for Mathematical Sciences, University of Plymouth, Plymouth PL4 8AA, United Kingdom) ; Anton Ilderton (Higgs Centre, School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3FD, United Kingdom) ; Karthik Rajeev (Higgs Centre, School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3FD, United Kingdom)

The presence of strong electromagnetic fields adds huge complexity to QED Feynman diagrams, such that new methods are required to calculate higher-loop and higher-multiplicity scattering amplitudes. Here we use the worldline formalism to present “master formulas” for all tree level amplitudes of two massive particles and an arbitrary number of photons, in a plane wave background, in both scalar and spinor QED. The plane wave is treated without approximation throughout, meaning in particular that our formulas are valid in the strong-field regime of current theoretical and experimental interest. We check our results against literature expressions obtainable at low multiplicity via direct Feynman diagram calculations.

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      "title": "Master formulas for <math><mi>N</mi></math>-photon tree level amplitudes in plane wave backgrounds"
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Published on:
04 March 2024
Publisher:
APS
Published in:
Physical Review D , Volume 109 (2024)
Issue 6
DOI:
https://doi.org/10.1103/PhysRevD.109.065003
arXiv:
2311.14638
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: