论文标题

Boostless Bootstrap和BCFW动量移动

The Boostless Bootstrap and BCFW Momentum Shifts

论文作者

Stefanyszyn, David, Supeł, Jakub

论文摘要

在最近的一篇论文[1]中,在洛伦兹提升下没有不变性的三粒子相互作用受到要求,要求它们产生树级的四粒子散射幅度,并由单位性和局部性所决定。在此简短说明中,我们展示了如何使用BCFW动量移动来获得这些Boost bootstrap结果的独立验证和一致性检查。我们指出,与在无限BCFW参数z处变形振幅的行为相关的构造标准对于获得三粒子相互作用的非平凡约束并不是必需的。

In a recent paper [1], three-particle interactions without invariance under Lorentz boosts were constrained by demanding that they yield tree-level four-particle scattering amplitudes with singularities as dictated by unitarity and locality. In this brief note, we show how to obtain an independent verification and consistency check of these boostless bootstrap results using BCFW momentum shifts. We point out that the constructibility criterion, related to the behaviour of the deformed amplitude at infinite BCFW parameter z, is not strictly necessary to obtain non-trivial constraints for the three-particle interactions.

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