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 ultraviolet(UV)partial wave unitarity leads to the Wilson coeffi-cients living in a convex cone,further including the nonpositivity part caps the cone from above.For Higgs scattering,a capped positivity cone was obtained using a simplified,linear unitarity condition without utilizing the full internal sym-metries of Higgs scattering.Here,we further implement stronger nonlinear unitarity conditions from the UV,which gener-ically 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.
positivity boundsstandard model effective field theory(SMEFT)Higgs
洪东宇、王卓辉、周双勇
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中国科学技术大学交叉学科理论中心,安徽合肥 230026
彭恒武高能基础理论研究中心(合肥),安徽合肥 230026
正定性约束 标准模型有效场论 希格斯
Fundamental Research Funds for the Central UniversitiesNational Natural Science Foundation of China