Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/138808
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Spin-2 Kaluza-Klein scattering in a stabilized warped background |
Author: | Chivukula, R.S. Foren, D. Mohan, K.A. Sengupta, D. Simmons, E.H. |
Citation: | Physical Review D, 2023; 107(3):035015-1-035015-37 |
Publisher: | American Physical Society (APS) |
Issue Date: | 2023 |
ISSN: | 2470-0010 2470-0029 |
Statement of Responsibility: | R. Sekhar Chivukula, Dennis Foren, Kirtimaan A. Mohan, Dipan Sengupta, and Elizabeth H. Simmons |
Abstract: | Scattering amplitudes involving massive spin-2 particles typically grow rapidly with energy. In this paper we demonstrate that the anomalous high-energy growth of the scattering amplitudes cancel for the massive spin-2 Kaluza-Klein modes arising from compactified five-dimensional gravity in a stabilized warped geometry. Generalizing previous work, we show that the two sum rules which enforce the cancellations between the contributions to the scattering amplitudes coming from the exchange of the (massive) radion and those from the exchange of the tower of Goldberger-Wise scalar states (admixtures of the original gravitational and scalar fields of the theory) still persist in the case of the warping which would be required to produce the hierarchy between the weak and Planck scales in a Randall-Sundrum model. We provide an analytic proof of one combination of these generalized scalar sum rules and show how the sum rule depends on the Einstein equations determining the background geometry and the mode-equations and normalization of the tower of physical scalar states. Finally, we provide a consistent and self-contained derivation of the equations governing the physical scalar modes, and we list, in appendixes, the full set of sum rules ensuring proper high-energy growth of all 2 → 2 massive spin-2 scattering amplitudes. |
Keywords: | Classical solutions in field theory; Hierarchy problem; Higher-dimensional field theories; Symmetries |
Rights: | © 2023 American Physical Society. Published under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
DOI: | 10.1103/PhysRevD.107.035015 |
Published version: | http://dx.doi.org/10.1103/physrevd.107.035015 |
Appears in Collections: | Chemistry and Physics publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
hdl_138808.pdf | Published version | 1.07 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.