On Capped Higgs Positivity Cone

Fuente: arXiv
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Autori principali: Hong, Dong-Yu, Wang, Zhuo-Hui, Zhou, Shuang-Yong
Natura: Preprint
Pubblicazione: 2024
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author Hong, Dong-Yu
Wang, Zhuo-Hui
Zhou, Shuang-Yong
author_facet Hong, Dong-Yu
Wang, Zhuo-Hui
Zhou, Shuang-Yong
contents The Wilson coefficients of the Standard Model Effective Field Theory are subject to a series of positivity bounds. It has been shown that, while the positivity part of the UV partial wave unitarity leads to the Wilson coefficients living in a convex cone, further including the non-positivity part caps the cone from above. For the Higgs scattering, a capped positivity cone have been obtained using a simplified, linear unitarity conditions and without utilizing the full internal symmetries of the Higgs scattering. Here we further implement the stronger nonlinear unitarity conditions from the UV, which generically gives rise to better bounds. We show that, for the Higgs case in particular, while the nonlinear unitarity conditions per se do not enhance the bounds, the fuller use of the internal symmetries do shrink the capped positivity cone significantly.
format Preprint
id arxiv_https___arxiv_org_abs_2404_04479
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Capped Higgs Positivity Cone
Hong, Dong-Yu
Wang, Zhuo-Hui
Zhou, Shuang-Yong
High Energy Physics - Phenomenology
High Energy Physics - Theory
The Wilson coefficients of the Standard Model Effective Field Theory are subject to a series of positivity bounds. It has been shown that, while the positivity part of the UV partial wave unitarity leads to the Wilson coefficients living in a convex cone, further including the non-positivity part caps the cone from above. For the Higgs scattering, a capped positivity cone have been obtained using a simplified, linear unitarity conditions and without utilizing the full internal symmetries of the Higgs scattering. Here we further implement the stronger nonlinear unitarity conditions from the UV, which generically gives rise to better bounds. We show that, for the Higgs case in particular, while the nonlinear unitarity conditions per se do not enhance the bounds, the fuller use of the internal symmetries do shrink the capped positivity cone significantly.
title On Capped Higgs Positivity Cone
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2404.04479