Multipositivity bounds for scattering amplitudes
- Creators
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Cheung, Clifford1
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Remmen, Grant N.2
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1.
California Institute of Technology
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2.
New York University
Abstract
Lorentz invariance, unitarity, and causality enforce powerful constraints on the theory space of physical scattering amplitudes. However, virtually all efforts in this direction have centered on the very simplest case of four-point scattering. In this work, we derive an infinite web of "multipositivity bounds" that nonlinearly constrain all tree-level higher-point scattering amplitudes under similarly minimal assumptions. Our construction rules out several deformations of the string and implies mixed-multiplicity bounds on the Wilson coefficients of planar effective field theories. Curiously, an infinite class of multipositivity bounds is exactly saturated by the amplitudes of the open string. Published by the American Physical Society 2025
Copyright and License
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.
Acknowledgement
We thank Nima Arkani-Hamed, Justin Berman, Henriette Elvang, David Gross, Aaron Hillman, and Sasha Zhiboedov for conversations. We additionally thank the referee for thoughtful feedback. C. C. is supported by the Department of Energy (Grant No. DE-SC0011632) and by the Walter Burke Institute for Theoretical Physics. G. N. R. is supported by the James Arthur Postdoctoral Fellowship at New York University.
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Additional details
- United States Department of Energy
- DE-SC0011632
- California Institute of Technology
- Walter Burke Institute for Theoretical Physics -
- New York University
- James Arthur Postdoctoral Fellowship -
- Caltech groups
- Division of Physics, Mathematics and Astronomy (PMA), Walter Burke Institute for Theoretical Physics
- Publication Status
- Published