论文标题
有效理论的异常维度来自部分波
Anomalous Dimensions of Effective Theories from Partial Waves
论文作者
论文摘要
事实证明，壳上振幅方法对于计算异常维度非常有效。我们进一步详细阐述了这些方法，以表明，通过使用角动量分解，可以将一环异常尺寸降低到基本上是部分波的产物的总和。我们将其应用于SM EFT，并显示某些类别的异常维度如何在相同的部分波系数中起源。我们还使用结果来获得非线性Sigma模型在能量扩展中的任何顺序的单循环异常维度的通用公式，并将我们的方法应用于重力，即使在存在IR差异的情况下，它也将其非常有利。
On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions can be reduced to essentially a sum of products of partial waves. We apply this to the SM EFT, and show how certain classes of anomalous dimensions have their origin in the same partial-wave coefficients. We also use our result to obtain a generic formula for the one-loop anomalous dimensions of nonlinear sigma models at any order in the energy expansion, and apply our method to gravity, where it proves to be very advantageous even in the presence of IR divergencies.
