Abstract
We re-examine the constraints imposed by causality and unitarity on the low-energy effective field theory expansion of four-particle scattering amplitudes, exposing a hidden “totally positive” structure strikingly similar to the positive geometries associated with grassmannians and amplituhedra. This forces the infinite tower of higher-dimension operators to lie inside a new geometry we call the “EFT-hedron”. We initiate a systematic investigation of the boundary structure of the EFT-hedron, giving infinitely many linear and non-linear inequalities that must be satisfied by the EFT expansion in any theory. We illustrate the EFT-hedron geometry and constraints in a wide variety of examples, including new consistency conditions on the scattering amplitudes of photons and gravitons in the real world.
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ArXiv ePrint: 2012.15849
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Arkani-Hamed, N., Huang, TC. & Huang, Yt. The EFT-hedron. J. High Energ. Phys. 2021, 259 (2021). https://doi.org/10.1007/JHEP05(2021)259
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DOI: https://doi.org/10.1007/JHEP05(2021)259