论文标题
EFT搜门
The EFT-Hedron
论文作者
论文摘要
我们重新检查了因果关系和单位性对四粒子散射幅度的低能有效田间理论扩展所施加的约束，暴露了与与硕士和Amplituhedra相关的积极几何形状的隐藏“完全正面”结构。这迫使高维操作员的无限塔躺在我们称为“ efthedron”的新几何形状内。我们对efthdron的边界结构进行了系统的研究，给出了无限的许多线性和非线性不平等现象，这些线性不平等必须通过任何理论中的EFT扩展来满足。我们在各种示例中说明了电子几何形状和约束，包括对现实世界中光子和重力的散射幅度的新一致性条件。
We re-examine the constraints imposed by causality and unitarity on the low-energy effective field theory expansion of four-particle scattering amplitudes, exposing a hidden "totally positive" structure strikingly similar to the positive geometries associated with grassmannians and amplituhedra. This forces the infinite tower of higher-dimension operators to lie inside a new geometry we call the "EFThedron". We initiate a systematic investigation of the boundary structure of the EFThedron, giving infinitely many linear and non-linear inequalities that must be satisfied by the EFT expansion in any theory. We illustrate the EFThedron geometry and constraints in a wide variety of examples, including new consistency conditions on the scattering amplitudes of photons and gravitons in the real world.
