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An Algebraic Approach to the Scattering Equations
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An Algebraic Approach to the Scattering Equations
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We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations. The method renders the CHY-integrand of scattering amplitudes computable using simple linear algebra and is amenable to an algorithmic approach. Certain identities in the amplitudes as well as rationality of the final integrand become immediate in this formalism.
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Cited by 1 Pith paper
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An adaptive inverse-problem framework for one-loop five-gluon BCJ numerators
The complete 207-dimensional family of one-loop five-gluon BCJ numerator coefficients is reconstructed exactly, and every direction in that family is shown to be invisible to the specified color-ring observable.
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