We demonstrate that loop integrands of (super-)gravity scattering ampli- tudes possess surprising properties in the ultraviolet (UV) region. In particular, we study the scaling of multi-particle unitarity cuts for asymptotically large momenta and expose an improved UV behavior of four-dimensional cuts through seven loops as com- pared to standard expectations. For N=8 supergravity, we show that the improved large momentum scaling combined with the behavior of the integrand under BCFW deformations of external kinematics uniquely fixes the loop integrands in a number of non-trivial cases. In the integrand construction, all scaling conditions are homoge- neous. Therefore, the only required information about the amplitude is its vanishing at particular points in momentum space. This homogeneous construction gives indirect evidence for a new geometric picture for graviton amplitudes similar to the one found for planar N=4 super Yang-Mills theory. We also show how the behavior at infinity is related to the scaling of tree-level amplitudes under certain multi-line chiral shifts which can be used to construct new recursion relations.

中文翻译：

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来自紫外线的重力环积分

我们证明，（超）重力散射放大器的回路被积物在紫外线（UV）区域具有令人惊讶的特性。特别是，我们研究了渐近大动量的多粒子均匀性切割的缩放比例，并通过与标准预期相比的七个循环显示了二维切割的改进的UV行为。对于N = 8的超重力，我们表明，在许多非平凡情况下，改进的大动量缩放比例与在外部运动学的BCFW变形下被积物的行为相结合，可以唯一地固定环被积物。在集成体构造中，所有缩放条件都是同构的。因此，关于幅度的唯一需要的信息是它在动量空间中的特定点处消失。这种均匀的构造为引力子振幅的新几何图形提供了间接证据，该图形与针对平面N = 4超级杨米尔斯理论所发现的相似。我们还展示了无穷远处的行为如何与某些多行手性平移下树级幅度的缩放相关，这可以用于构造新的递归关系。