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arXiv · 2002.12458

Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories

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

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.

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R. Sekhar Chivukula, Dennis Foren, Kirtimaan A. Mohan, Dipan Sengupta, Elizabeth H. Simmons. 2020-02-27. Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories. https://doi.org/10.1103/physrevd.101.075013

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