We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Capping the positivity cone: dimension-8 Higgs operators in the SMEFT.
- Authors
Chen, Qing; Mimasu, Ken; Wu, Tong Arthur; Zhang, Guo-Dong; Zhou, Shuang-Yong
- Abstract
SMEFT Wilson coefficients are subject to various positivity bounds in order to be consistent with the fundamental principles of S-matrix. Previous bounds on dimension-8 SMEFT operators have been obtained using the positivity part of UV partial wave unitarity and form a (projective) convex cone. We derive a set of linear UV unitarity conditions that go beyond positivity and are easy to implement in an optimization scheme with dispersion relations in a multi-field EFT. Using Higgs scattering as an example, we demonstrate how to obtain closed bounds in the space of the three relevant dimension-8 coefficients, making use of the UV unitarity conditions as well as so-called null constraints that arise from full crossing symmetry. Specifically, we show that they are bounded by inequalities schematically going like C < O ((4π)2). We compare the newly obtained upper bounds with the traditional perturbative unitarity bounds from within the EFT, and discuss some phenomenological implications of the two-sided positivity bounds in the context of experimental probes of Vector Boson Scattering.
- Subjects
OPTIMISM; DISPERSION relations; HIGGS bosons; ELECTROWEAK interactions
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 3, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP03(2024)180