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The EFT-Hedron

Arkani-Hamed, Nima and Huang, Tzu-Chen and Huang, Yu-tin (2020) The EFT-Hedron. . (Unpublished)

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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.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Huang, Tzu-Chen0000-0002-8738-7695
Huang, Yu-tin0000-0002-3554-7765
Additional Information:We thank Alex Postnikov and Steven Karp for stimulating discussions. N.A-H. is supported by DOE grant de-sc0009988. Y-t H is supported by MoST Grant No. 106-2628-M-002-012-MY3. T-c H is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0009988
Ministry of Science and Technology (Taipei)106-2628-M-002-012- MY3
Department of Energy (DOE)DE-SC0011632
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Other Numbering System NameOther Numbering System ID
Record Number:CaltechAUTHORS:20210107-151727295
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107377
Deposited By: Joy Painter
Deposited On:08 Jan 2021 17:12
Last Modified:08 Jan 2021 17:12

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