Abstract
We study scattering equations and formulas for tree amplitudes of various theories in four dimensions, in terms of spinor helicity variables and on-shell superspace for supersymmetric theories. As originally obtained in Witten’s twistor string theory and other twistor-string models, the equations can take either polynomial or rational forms, and we clarify the simple relation between them. We present new, four-dimensional formulas for all tree amplitudes in the non-linear sigma model, a special Galileon theory and the maximally supersymmetric completion of the Dirac-Born-Infeld theory. Furthermore, we apply the formulas to study various double-soft theorems in these theories, including the emissions of a pair of soft photons, fermions and scalars for super-amplitudes in super-DBI theory.
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He, S., Liu, Z. & Wu, JB. Scattering equations, twistor-string formulas and double-soft limits in four dimensions. J. High Energ. Phys. 2016, 60 (2016). https://doi.org/10.1007/JHEP07(2016)060
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DOI: https://doi.org/10.1007/JHEP07(2016)060