Abstract

We introduce a new technique to generate scattering amplitudes at one loop. Traditional tree algorithms, which handle diagrams with fixed momenta, are promoted to generators of loop-momentum polynomials that we call open loops. Combining open loops with tensor-integral and Ossola-Papadopoulos-Pittau reduction results in a fully flexible, very fast, and numerically stable one-loop generator. As demonstrated with nontrivial applications, the open-loop approach will permit us to obtain precise predictions for a very wide range of collider processes.

Keywords

PhysicsLoop (graph theory)Scattering amplitudeAmplitudeGenerator (circuit theory)Open-loop controllerScatteringTensor (intrinsic definition)Range (aeronautics)Momentum (technical analysis)Tree (set theory)Topology (electrical circuits)Quantum electrodynamicsClosed loopQuantum mechanicsMathematical analysisPower (physics)MathematicsPure mathematicsCombinatorics

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Publication Info

Year
2012
Type
article
Volume
108
Issue
11
Pages
111601-111601
Citations
1114
Access
Closed

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Cite This

Fabio Cascioli, Philipp Maierhöfer, Stefano Pozzorini (2012). Scattering Amplitudes with Open Loops. Physical Review Letters , 108 (11) , 111601-111601. https://doi.org/10.1103/physrevlett.108.111601

Identifiers

DOI
10.1103/physrevlett.108.111601