The EFT-hedron

By N. Arkani-Hamed, Tzu-Chen Huang, Yu-tin Huang. Journal of High Energy Physics, 2020

213 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1af2b1739e573781dd8d1f3fbb6b62a18aba7532

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Yu-tin Huang
2. Tzu-Chen Huang
3. N. Arkani-Hamed
4. Alexander Ochirov
5. C. Cheung
6. I. Low
7. H. Johansson
8. Claudia de Rham

In Statistical and Nonlinear Physics

1. Yu-tin Huang
2. N. Arkani-Hamed
3. Tzu-Chen Huang
4. C. Cheung
5. E. Pajer
6. Eran Palti

Citations in the corpus

• Scattering amplitudes for all masses and spins (2017, background): “J H E P 1 1 ( 2 0 2 1 ) 0 7 0 increasing spins (as of course seen in string theory) [15].”