五点组合有效预测
Composing Effective Prediction at Five Points
摘要：
伴随中的色运动学对偶性已被证明是规范和引力理论散射振幅预测之间关系的关键。在最近的工作中，我们证明了在四点树水平上，少量的颜色对偶EFT构建块可以编码所有高阶导数的单迹无质量修正，以与伴随双拷贝兼容的规范和引力理论。一个关键的方面是构建更高导数的颜色权重的平凡化--事实上，正是将运动学与非伴随类型的颜色权重（如置换不变的d^4）混合在一起，才允许通过伴随双拷贝进行描述。在这里，我们发现，这样的想法澄清了本地五点高维算子的预测。我们演示了如何将单个标量构建块与颜色结构相结合，以构建高导数颜色因子，通过双拷贝生成高导数规范理论算子的预测。然后，这些可以通过另一个双拷贝适当地映射到重力的更高导数校正。
英文摘要：
Color-kinematics duality in the adjoint has proven key to the relationship between gauge and gravity theory scattering amplitude predictions. In recent work, we demonstrated that at four-point tree-level, a small number of color-dual EFT building blocks could encode all higher-derivative single-trace massless corrections to gauge and gravity theories compatible with adjoint double-copy. One critical aspect was the trivialization of building higher-derivative color-weights -- indeed, it is the mixing of kinematics with non-adjoint-type color-weights (like the permutation-invariant d^4) which permits description via adjoint double-copy. Here we find that such ideas clarify the predictions of local five-point higher-dimensional operators as well. We demonstrate how a single scalar building block can be combined with color structures to build higher-derivative color factors that generate, through double copy, the predictions of higher-derivative gauge-theory operators. These may then be suitably mapped, through another double-copy, to higher-derivative corrections in gravity.
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