Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories
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 differ...
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description | 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. |
doi_str_mv | 10.48550/arxiv.2002.12458 |
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subjects | Computation Gravitation theory Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory Scattering amplitude |
title | Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories |
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