光-光散射的严格边界
Rigorous Bounds on Light-by-Light Scattering
摘要：
我们将出现在$2 \to 2$光子散射振幅中的EFT系数束缚在四维空间中。在此背景下审查的酉性和积极性的条件，我们使用色散关系和交叉对称计算和规则和零约束。这使我们能够推导出新的严格的界限算子的四，六，和八个衍生物，包括双边界限的比率。与一些部分UV完成比较，我们发现，我们的一些界限是饱和的振幅所产生的集成出一个巨大的标量或轴子，而其他建议的未知振幅的存在。
英文摘要：
We bound EFT coefficients appearing in $2 \to 2$ photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules and null constraints. This allows us to derive new rigorous bounds on operators with four, six, and eight derivatives, including two-sided bounds on their ratios. Comparing with a number of partial UV completions, we find that some of our bounds are saturated by the amplitudes that arise from integrating out a massive scalar or axion, while others suggest the existence of unknown amplitudes.
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