The EFT-hedron

Nima Arkani-Hamed School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, U.S.A. Tzu-Chen Huang Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, U.S.A. Yu-tin Huang Department of Physics and Astronomy, National Taiwan University, Taipei 10617, Taiwan; Physics Division, National Center for Theoretical Sciences, National Tsing-Hua University, No.101, section 2, Kuang-Fu Road, Hsinchu, Taiwan

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2203.74001

Journal of High Energy Physics, (5), 2021.5
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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  title={The EFT-hedron},
  author={Nima Arkani-Hamed, Tzu-Chen Huang, and Yu-tin Huang},
  booktitle={Journal of High Energy Physics},
Nima Arkani-Hamed, Tzu-Chen Huang, and Yu-tin Huang. The EFT-hedron. 2021. In Journal of High Energy Physics.
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