Triple crossing positivity bounds for multi-field theories

A bstract We develop a formalism to extract triple crossing symmetric positivity bounds for effective field theories with multiple degrees of freedom, by making use of su symmetric dispersion relations supplemented with positivity of the partial waves, st null constraints and the generalized optical...

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Bibliographic Details
Published in:	The journal of high energy physics 2021-12, Vol.2021 (12), p.1-35, Article 115
Main Authors:	Du, Zong-Zhe, Zhang, Cen, Zhou, Shuang-Yong
Format:	Article
Language:	eng
Subjects:	Classical and Quantum Gravitation Coefficients Constraints Continuity (mathematics) Effective Field Theories Elementary Particles High energy physics Nonperturbative Effects Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory Symmetry
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Summary:	A bstract We develop a formalism to extract triple crossing symmetric positivity bounds for effective field theories with multiple degrees of freedom, by making use of su symmetric dispersion relations supplemented with positivity of the partial waves, st null constraints and the generalized optical theorem. This generalizes the convex cone approach to constrain the s 2 coefficient space to higher orders. Optimal positive bounds can be extracted by semi-definite programs with a continuous decision variable, compared with linear programs for the case of a single field. As an example, we explicitly compute the positivity constraints on bi-scalar theories, and find all the Wilson coefficients can be constrained in a finite region, including the coefficients with odd powers of s , which are absent in the single scalar case.
ISSN:	1029-8479 1029-8479