New relations for scattering amplitudes in Yang-Mills theory at loop level

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 4 figures. v3: typos corrected, figures and clarifications added

Scientific paper

The calculation of scattering amplitudes in Yang-Mills theory at loop level is important for the analysis of background processes at particle colliders as well as our understanding of perturbation theory at the quantum level. We present tools to derive relations for especially one loop amplitudes, as well as several explicit examples for gauge theory coupled to a wide variety of matter. These tools originate in certain scaling behavior of permutation and cyclic sums of Yang-Mills tree amplitudes and loop integrands. In the latter case evidence exists for relations at all loop orders.

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