New positivity bounds from full crossing symmetry

A bstract Positivity bounds are powerful tools to constrain effective field theories. Utilizing the partial wave expansion in the dispersion relation and the full crossing symmetry of the scattering amplitude, we derive several sets of generically nonlinear positivity bounds for a generic scalar eff...

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Bibliographic Details
Published in:	The journal of high energy physics 2021-05, Vol.2021 (5), p.1-42, Article 255
Main Authors:	Tolley, Andrew J., Wang, Zi-Yue, Zhou, Shuang-Yong
Format:	Article
Language:	eng
Subjects:	Chiral dynamics Classical and Quantum Gravitation Constraining Cosmology of Theories beyond the SM Effective Field Theories Elementary Particles Field theory High energy physics Lower bounds Perturbation theory Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Experimental Physics Relativity Theory Scalars Scattering amplitude String Theory Symmetry Wave dispersion
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Summary:	A bstract Positivity bounds are powerful tools to constrain effective field theories. Utilizing the partial wave expansion in the dispersion relation and the full crossing symmetry of the scattering amplitude, we derive several sets of generically nonlinear positivity bounds for a generic scalar effective field theory: we refer to these as the P Q , D su , D stu and D ¯ stu bounds. While the PQ bounds and D su bounds only make use of the s ↔ u dispersion relation, the D stu and D ¯ stu bounds are obtained by further imposing the s ↔ t crossing symmetry. In contradistinction to the linear positivity for scalars, these inequalities can be applied to put upper and lower bounds on Wilson coefficients, and are much more constraining as shown in the lowest orders. In particular we are able to exclude theories with soft amplitude behaviour such as weakly broken Galileon theories from admitting a standard UV completion. We also apply these bounds to chiral perturbation theory and we find these bounds are stronger than the previous bounds in constraining its Wilson coefficients.
ISSN:	1029-8479 1029-8479