Capping the positivity cone: dimension-8 Higgs operators in the SMEFT

Autor: Chen, Qing, Mimasu, Ken, Wu, Tong Arthur, Zhang, Guo-Dong, Zhou, Shuang-Yong
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $CComment: 32 pages + appendices, 9 figures; to appear in JHEP
Databáze: arXiv