关于有帽 Higgs 正性锥
On Capped Higgs Positivity Cone
AI总结：
本文研究 SMEFT 中 Higgs 散射的有帽正性锥，通过纳入 UV 非线性幺正性条件并充分利用内部对称性，证明后者可显著缩小约束锥。
摘要：
标准模型有效场论的 Wilson 系数受到一系列正性界的约束。已有研究表明，尽管 UV 分波幺正性的正性部分使 Wilson 系数位于一个凸锥内，但进一步纳入非正性部分会从上方限制该锥。对于 Higgs 散射，已有研究利用简化的线性幺正性条件，并在未充分利用 Higgs 散射全部内部对称性的情况下，得到了一个有帽正性锥。本文进一步实施来自 UV 的更强非线性幺正性条件，这类条件通常会产生更优的界。我们表明，尤其在 Higgs 情形中，虽然非线性幺正性条件本身并未增强这些界，但更充分地利用内部对称性确实显著缩小了有帽正性锥。
英文摘要：
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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