The EFT-hedron
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Publication:2048083
DOI10.1007/JHEP05(2021)259zbMATH Open1466.81132arXiv2012.15849MaRDI QIDQ2048083
Author name not available (Why is that?)
Publication date: 4 August 2021
Published in: (Search for Journal in Brave)
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 "EFThedron". We initiate a systematic investigation of the boundary structure of the EFThedron, giving infinitely many linear and non-linear inequalities that must be satisfied by the EFT expansion in any theory. We illustrate the EFThedron 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.
Full work available at URL: https://arxiv.org/abs/2012.15849
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