Abstract
We investigate a new algebra-based approach of finding Grassmannian formulas for scattering amplitudes. Our prime motivation is massive amplitudes of 4D \( \mathcal{N} \) = 4 SYM, and therefore we consider a 6D Grassmannian formula, where we can take advantage of massless kinematics. We next use symmetry arguments, and in particular, 6D dual conformal symmetry generalized to arbitrary dual conformal weights. Assuming a rational ansatz in terms of Plücker coordinates (i.e. minors) for the integrand, this approach leads to a set of algebraic equations. As an example, we explicitly find the solution for 4-point scattering amplitudes up to proportionality constants.
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Bering, K., Pazderka, M. Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D. J. High Energ. Phys. 2022, 54 (2022). https://doi.org/10.1007/JHEP09(2022)054
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DOI: https://doi.org/10.1007/JHEP09(2022)054