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Physical projectors for multi-leg helicity amplitudes

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Abstract We present a method for building physical projector operators for multi-leg helicity amplitudes. For any helicity configuration of the external particles, we define a physical projector which singles out… Click to show full abstract

Abstract We present a method for building physical projector operators for multi-leg helicity amplitudes. For any helicity configuration of the external particles, we define a physical projector which singles out the corresponding helicity amplitude. For processes with more than four external legs, these physical projectors depend on significantly fewer tensor structures and exhibit a remarkable simplicity compared with projector operators defined with traditional approaches. As an example, we present analytic formulas for a complete set of projectors for five-gluon scattering. These have been validated by reproducing known results for five-gluon amplitudes up to one-loop.

Keywords: leg helicity; physical projectors; multi leg; helicity; projectors multi; helicity amplitudes

Journal Title: Journal of High Energy Physics
Year Published: 2019

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