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Double copy structure and the flat space limit of conformal correlators in even dimensions

机译：双重复制结构和均匀尺寸的保形态相关器的平坦空间限制

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We analyze the flat space limit of 3-point correlators in momentum space for general conformal field theories in even spacetime dimensions, and show they exhibit a double copy structure similar to that found in odd dimensions. In even dimensions, the situation is more complicated because correlators contain branch cuts and divergences which need to be renormalized. We describe the analytic continuation of momenta required to extract the flat space limit, and show that the flat space limit is encoded in the leading singularity of a 1-loop triangle integral which serves as a master integral for 3-point correlators in even dimensions. We then give a detailed analysis of the renormalized correlators in four dimensions where the flat space limit of stress tensor correlators is controlled by the coefficients in the trace anomaly.
机译：我们在甚至时空尺寸中分析了一般保形场理论的动量空间中3点相关器的平坦空间限制，并表明它们表现出类似于奇数尺寸的双拷贝结构。 在甚至尺寸中，情况更加复杂，因为相关器包含需要重形化的分支切割和分歧。 我们描述了提取平坦空间限制所需的动脉的分析延续，并且表明平面空间限制在1环三角形积分的前导奇点中被编码，其用作均匀尺寸的3点态相关器的主积分。 然后，我们在四个维度中详细分析了压力张量相关器的平坦空间限制的四个尺寸由痕量异常中的系数控制。

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