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Main Authors: Xu, Hao, Hong, Dong-Yu, Wang, Zhuo-Hui, Zhou, Shuang-Yong
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2410.09794
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author Xu, Hao
Hong, Dong-Yu
Wang, Zhuo-Hui
Zhou, Shuang-Yong
author_facet Xu, Hao
Hong, Dong-Yu
Wang, Zhuo-Hui
Zhou, Shuang-Yong
contents Using dispersion relations of the scattering amplitudes and semi-definite programming, we calculate causality bounds on the Wilson coefficients in scalar-tensor effective field theories that include parity-violating operators. Particular attention has been paid to the dynamical-Chern-Simons (dCS) and scalar-Gauss-Bonnet (sGB) couplings, along with higher order coefficients, and the interplay between them. For the leading terms, the bounds on the parity-conserving and -violating coefficients are simply projections of the complex coefficients. Some parity-violating coefficients are found to be upper bounded by the parity-conserving counterparts, or the higher order parity-conserving coefficients. While the observational constraints on parity-violating coefficients are weaker than the parity-conserving counterparts, the causality bounds are of comparable strength and thus may play a more prominent role in constraining strong gravity effects in upcoming observations.
format Preprint
id arxiv_https___arxiv_org_abs_2410_09794
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Positivity Bounds on parity-violating scalar-tensor EFTs
Xu, Hao
Hong, Dong-Yu
Wang, Zhuo-Hui
Zhou, Shuang-Yong
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Using dispersion relations of the scattering amplitudes and semi-definite programming, we calculate causality bounds on the Wilson coefficients in scalar-tensor effective field theories that include parity-violating operators. Particular attention has been paid to the dynamical-Chern-Simons (dCS) and scalar-Gauss-Bonnet (sGB) couplings, along with higher order coefficients, and the interplay between them. For the leading terms, the bounds on the parity-conserving and -violating coefficients are simply projections of the complex coefficients. Some parity-violating coefficients are found to be upper bounded by the parity-conserving counterparts, or the higher order parity-conserving coefficients. While the observational constraints on parity-violating coefficients are weaker than the parity-conserving counterparts, the causality bounds are of comparable strength and thus may play a more prominent role in constraining strong gravity effects in upcoming observations.
title Positivity Bounds on parity-violating scalar-tensor EFTs
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2410.09794