论文标题
超维理论中的大量自旋-2散射幅度
Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories
论文作者
论文摘要
在本文中,我们详细描述了具有单个紧凑的额外尺寸(无论是平坦的还是扭曲)的引力理论中大量自旋-2 kaluza-klein激发的散射幅度的计算。这些散射幅度的特征是不同的贡献之间的复杂取消:尽管单个贡献的生长可能与$ {\ cal o}(s^5)$一样快,但完整的结果仅增长为$ {\ cal o}(s)$。我们证明,所有传入和外向粒子的螺旋性的取消持续存在,并检查如何仅包含有限数量的中间状态的计算会影响结果的准确性。我们还仔细评估了低能有效kaluza-klein理论的有效性范围。特别是,对于扭曲的情况,我们直接演示了出现的低能量表如何控制散射幅度的大小,如ADS/CFT对应关系所指出。
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.