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arXiv 2002.12458hep-phgr-qchep-th
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超维理论中的质量自旋2散射振幅

Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories

R. Sekhar Chivukula, Dennis Foren, Kirtimaan A. Mohan, Dipan Sengupta, Elizabeth H. Simmons

摘要:

本文详细地描述了在具有单一紧致额外维(无论是平坦的还是弯曲的)的引力理论中,质量自旋为2的Kaluza-Klein激发的散射振幅的计算。这些散射振幅的特征在于不同贡献之间的复杂抵消:尽管单个贡献可能像${\cal O}(s^5)$一样快地增长,但完整的结果仅像${\cal O}(s)$那样增长。我们证明了所有传入和传出粒子螺旋的取消持续存在,并研究如何截断计算只包括有限数量的中间状态影响结果的准确性。我们还仔细评估了低能有效卡鲁扎-克莱因理论的有效性范围。特别是,对于扭曲的情况下,我们直接演示了如何紧急低能量规模控制的散射振幅的大小,如AdS/CFT对应所示。

英文摘要:

In this paper we describe in detail the computation of the scattering amplitudes of massive spin-2 Kaluza-Klein excitations in a gravitational theory with a single compact extra dimension, whether flat or warped. These scattering amplitudes are characterized by intricate cancellations between different contributions: although individual contributions may grow as fast as ${\cal O}(s^5)$, the full results grow only as ${\cal O}(s)$. We demonstrate that the cancellations persist for all incoming and outgoing particle helicities and examine how truncating the computation to only include a finite number of intermediate states impacts the accuracy of the results. We also carefully assess the range of validity of the low energy effective Kaluza-Klein theory. In particular, for the warped case we demonstrate directly how an emergent low energy scale controls the size of the scattering amplitude, as conjectured by the AdS/CFT correspondence.

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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