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On Capped Higgs Positivity Cone

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arxiv 2404.04479 v1 pith:C2U547EZ submitted 2024-04-06 hep-ph hep-th

Dong-Yu Hong , Zhuo-Hui Wang , Shuang-Yong Zhou This is my paper
classification hep-phhep-th
keywords conepositivityhiggsunitarityboundscappedconditionsbeen
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 4 Pith papers

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