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arXiv · 2011.11299

The supersymmetric spinning polynomial

Jin-Yu Liu·Zhe-Ming You
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Abstract

In this paper, we construct the supersymmetric spinning polynomials. These are orthogonal polynomials that serve as an expansion basis for the residue or discontinuity of four-point scattering amplitudes, respecting four-dimensional super Poincare invariance. The polynomials are constructed by gluing on-shell supersymmetric three-point amplitudes of one massive two massless multiplets, and are identified with algebraic Jacobi-polynomials. Equipped with these we construct the supersymmetric EFThedron, which geometrically defines the allowed region of Wilson coefficients respecting UV unitarity and super Poincare invariance.

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Jin-Yu Liu, Zhe-Ming You. 2020-11-23. The supersymmetric spinning polynomial. https://arxiv.org/abs/2011.11299

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