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arXiv 1804.08686hep-thhep-ph
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大质量自旋粒子有效理论中振幅的界

Bounds on Amplitudes in Effective Theories with Massive Spinning Particles

James Bonifacio, Kurt Hinterbichler

摘要:

我们考虑一个程序,直接构建一般的树级四粒子散射振幅的大质量自旋粒子的洛伦兹不变性,幺正性,交叉对称性和本地化的通常要求是一致的。这样的振幅有无穷多个,但我们可以通过将树振幅的高能量增长限制在有效场论内来分离出有趣的理论。这使我们能够设置模型无关的下限增长的树级振幅在任何有效场论与一个给定的粒子含量和任何相互作用项的任意,但有限数量的衍生物。在某些常见情况下,这对应于找到最高可能的强耦合尺度。当应用到自旋2,我们表明,只有振幅饱和这个约束所产生的一个大规模的自旋2粒子,即dRGT大规模引力和伪线性理论的已知的幽灵自由理论。我们还提出了一个猜想,在一个理论与一个单一的大质量粒子的任何整数自旋树振幅的允许增长。

英文摘要:

We consider a procedure for directly constructing general tree-level four-particle scattering amplitudes of massive spinning particles that are consistent with the usual requirements of Lorentz invariance, unitarity, crossing symmetry, and locality. There are infinitely many such amplitudes, but we can isolate interesting theories by bounding the high-energy growth of the tree amplitudes within the effective field theory. This allows us to set model-independent lower bounds on the growth of tree-level amplitudes in any effective field theory with a given particle content and any interaction terms with an arbitrary but finite number of derivatives. In certain common cases this corresponds to finding the highest possible strong coupling scale. When applied to spin 2, we show that the only amplitudes that saturate this bound are generated by the known ghost-free theories of a massive spin-2 particle, namely dRGT massive gravity and the pseudolinear theory. We also make a conjecture for the allowed growth of tree amplitudes in a theory with a single massive particle of any integer spin.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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