Abstract

We develop a unitarity method to compute one-loop amplitudes with massless propagators in d=4-2*epsilon dimensions. We compute double cuts of the loop amplitudes via a decomposition into a four-dimensional and a -2*epsilon-dimensional integration. The four-dimensional integration is performed using spinor integration or other efficient techniques. The remaining integral in -2*epsilon dimensions is cast in terms of bubble, triangle, box, and pentagon master integrals using dimensional shift identities. The method yields results valid for arbitrary values of epsilon.

Keywords

UnitaritySpinorPropagatorMassless particlePentagonAmplitudeMathematical physicsMathematicsNumerical integrationPhysicsLoop (graph theory)Mathematical analysisQuantum mechanicsGeometryCombinatorics

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Publication Info

Year
2006
Type
article
Volume
645
Issue
2-3
Pages
213-216
Citations
228
Access
Closed

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Charalampos Anastasiou, Ruth Britto, Bo Feng et al. (2006). d-dimensional unitarity cut method. Physics Letters B , 645 (2-3) , 213-216. https://doi.org/10.1016/j.physletb.2006.12.022

Identifiers

DOI
10.1016/j.physletb.2006.12.022