All-loop group-theory constraints for color-ordered SU(N) gauge-theory amplitudes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, no figures; v2: added references, minor corrections; v3: minor clarifications, published version

Scientific paper

We derive constraints on the color-ordered amplitudes of the L-loop
four-point function in SU(N) gauge theories that arise solely from the
structure of the gauge group. These constraints generalize well-known group
theory relations, such as U(1) decoupling identities, to all loop orders.

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