Abstract
The constructive method of determining amplitudes from on-shell pole structure has been shown to be promising for calculating amplitudes in a more efficient way. However, challenges have been encountered when a massless internal photon is involved in the gluing of three-point amplitudes with massive external particles. In this paper, we use the original on-shell method, old-fashioned perturbation theory, to shed light on the constructive method, and show that one can derive the Feynman amplitude by correctly identifying the residue even when there is an internal photon involved.
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Acknowledgments
We thank Neil Christensen, Markus Luty, Shruti Paranjape, Taro Brown and Matthew Schwartz for helpful discussions. This work was supported in part by the DOE under grant DE-SC-000999 and the work of DL was also supported partially by the DOE under grant No. DE-SC0007914 and in part by PITT PACC. Part of the work was performed at Aspen Center for Physics, which is supported by NSF grant PHY-2210452.
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Lai, HY., Liu, D. & Terning, J. The constructive method for massive particles in QED. J. High Energ. Phys. 2024, 86 (2024). https://doi.org/10.1007/JHEP06(2024)086
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DOI: https://doi.org/10.1007/JHEP06(2024)086