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

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.

7 pages, 1 figure

References in corpus (5)

• Geometric approach to asymptotic expansion of Feynman integrals
• From loops to trees by-passing Feynman's theorem
• Towards gauge theories in four dimensions
• A Tree-Loop Duality Relation at Two Loops and Beyond
• Loops and trees

Cited by in corpus (3)

• A road map for Feynman's adventures in the land of gravitation
• Application of BCFW-recursion relations and the Feynman-tree theorem to the four gluon amplitude with all plus helicities
• On-shell recursion relations for generic integrands