6533b825fe1ef96bd128285b
RESEARCH PRODUCT
From loops to trees by-passing Feynman's theorem
German RodrigoFrank KraussTanju GleisbergJ. WinterStefano Catanisubject
PhysicsQuantum chromodynamicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsNLO computationsLorentz transformationFísicaFOS: Physical sciencesPropagatorDuality (optimization)Field (mathematics)QCDScattering amplitudesymbols.namesakeHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)symbolsFeynman diagramCovariant transformationMathematical physicsdescription
We derive a duality relation between one-loop integrals and phase-space integrals emerging from them through single cuts. The duality relation is realized by a modification of the customary +i0 prescription of the Feynman propagators. The new prescription regularizing the propagators, which we write in a Lorentz covariant form, compensates for the absence of multiple-cut contributions that appear in the Feynman Tree Theorem. The duality relation can be applied to generic one-loop quantities in any relativistic, local and unitary field theories. %It is suitable for applications to the analytical calculation of %one-loop scattering amplitudes, and to the numerical evaluation of %cross-sections at next-to-leading order. We discuss in detail the duality that relates one-loop and tree-level Green's functions. We comment on applications to the analytical calculation of one-loop scattering amplitudes, and to the numerical evaluation of cross-sections at next-to-leading order.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-01-01 |