تقرير
Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms
| العنوان: | Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms |
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| المؤلفون: | Chivukula, R. Sekhar, Mohan, Kirtimaan A., Sengupta, Dipan, Simmons, Elizabeth H., Wang, Xing |
| سنة النشر: | 2024 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology, General Relativity and Quantum Cosmology, High Energy Physics - Theory |
| الوصف: | 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 ${\cal O}(s^3)$ instead of ${\cal O}(s)$. 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 (DGP) 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. Comment: 36 pages, 2 figures. Minor changes, new reference added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.01684 |
| رقم الأكسشن: | edsarx.2407.01684 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |