Symmetries, spin-2 scattering amplitudes, and equivalence theorems in warped five-dimensional gravitational theories

Chivukula, R. Sekhar; Gill, Joshua A.; Mohan, Kirtimaan A.; Sengupta, Dipan; Simmons, Elizabeth H.; Wang, Xing

doi:10.1103/physrevd.109.075016

Phys. Rev. D

2024

DOI: 10.1103/physrevd.109.075016

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Symmetries, spin-2 scattering amplitudes, and equivalence theorems in warped five-dimensional gravitational theories

R. Sekhar Chivukula,

Joshua A. Gill,

Kirtimaan A. Mohan

et al.

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Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms

Chivukula,

Mohan,

Sengupta

et al. 2024

Phys. Rev. D

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In this paper we investigate the scattering amplitudes of spin-2 Kaluza-Klein (KK) states in Randall-Sundrum models with brane-localized curvature terms. We show that the presence of brane-localized curvature interactions modifies the properties of (4D) scalar fluctuations of the metric, resulting in scattering amplitudes of the massive spin-2 KK states which grow as O(s3) instead of O(s). We discuss the constraints on the size of the brane-localized curvature interactions based on the consistency of the Sturm-Liouville mode systems of the spin-2 and spin-0 metric fluctuations. We connect the properties of the scattering amplitudes to the diffeomorphism invariance of the compactified KK theory with brane-localized curvature interactions. We verify that the scattering amplitudes involving brane-localized external sources (matter) are diffeomorphism-invariant, but show that those for matter localized at an arbitrary point in the bulk are not. We demonstrate that, in Feynman gauge, the spin-0 Goldstone bosons corresponding to helicity-0 states of the massive spin-2 KK bosons behave as a tower of Galileons, and that it is their interactions that produce the high-energy behavior of the scattering amplitudes. We also outline the correspondence between our results and those in the Dvali-Gabadadze-Porrati model. In an Appendix we discuss the analogous issue in extra-dimensional gauge theory, and show that the presence of a brane-localized gauge kinetic-energy term does not change the high-energy behavior of corresponding KK vector boson scattering amplitudes. Published by the American Physical Society 2024

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Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms

Chivukula,

Mohan,

Sengupta

et al. 2024

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

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Symmetries, spin-2 scattering amplitudes, and equivalence theorems in warped five-dimensional gravitational theories

Cited by 1 publication

References 44 publications

Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms

Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms

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