论文标题
完整的单位性和散射幅度的时刻
Full Unitarity and the Moments of Scattering Amplitudes
论文作者
论文摘要
我们研究了全单位性对正向散射振幅的矩结构的影响。我们介绍了与固定数量的减法数量相关的eft中的semiarcs,可计算的数量与紫外线幅度的真实部分和假想部分相关。据观察,连续矩之间的较大层次结构被单位性禁止。全单位性的界限与来自凸度的范围竞争,并且在循环扩展比衍生性扩展更为重要的EFT中变得更加重要。
We study the impact of full unitarity on the moment structure of forward scattering amplitudes. We introduce the semiarcs, calculable quantities in the EFT dispersively related to both real and imaginary parts of the UV amplitude for a fixed number of subtractions. It is observed that large hierarchies between consecutive moments are forbidden by unitarity. Bounds from full unitarity compete with the ones stemming from convexity, and become more important in EFTs where the loop expansion is more important than the derivative expansion.