Scattering Amplitudes with Open Loops

Details Scattering Amplitudes with Open Loops Scattering Amplitudes with Open Loops

2011-11-22

arxiv.org/abs/1111.5206v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 3 figures; v2: Comment on ordering added after eq. (6); typos in eqs. (14,16,17) corrected; various cosmetic changes;

Scientific paper

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 OPP reduction results in a fully flexible, very fast, and numerically stable one-loop generator. As demonstrated with non-trivial applications, the open-loop approach will permit to obtain precise predictions for a very wide range of collider processes.

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