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arXiv · 1609.00377

Application of the Feynman-tree theorem together with BCFW recursion relations

Markos Maniatis
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Abstract

Recently, it has been shown that on-shell scattering amplitudes can be constructed by the Feynman-tree theorem combined with the BCFW recursion relations. Since the BCFW relations are restricted to tree diagrams, the preceding application of the Feynman-tree theorem is essential. In this way amplitudes can be constructed by on-shell and gauge-invariant tree amplitudes. Here we want to apply this method to the electron-photon vertex correction. We present all the single, double, and triple phase-space tensor integrals explicitly and show that the sum of amplitudes coincides with the result of the conventional calculation of a virtual loop correction.

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Markos Maniatis. 2016-09-01. Application of the Feynman-tree theorem together with BCFW recursion relations. https://doi.org/10.1142/s0217751x18500422

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