physical projectors for multi-leg helicity amplitudes
;Tiziano Peraro;Lorenzo Tancredi
revista de la asociacion espanola de especialistas en medicina del trabajo2019Vol. 2019pp. 1-22
148
peraro2019journalphysical
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.