Radion dynamics, heavy Kaluza-Klein resonances and gravitational waves

Abstract

We study the confinement/deconfinement phase transition of the radion field in a warped model with a polynomial bulk potential. The backreaction of the radion on the metric is taken into account by using the superpotential formalism, while the radion effective potential is obtained from a novel formulation which can incorporate the backreaction. The phase transition leads to a stochastic gravitational wave background that depends on the energy scale of the first Kaluza-Klein resonance, $m_{\text{KK}}$. This work completes previous studies in the following aspects: i) we detail the evaluation of the radion spectrum; ii) we report on the mismatches between the thick wall approximation and the numerical bounce solution; iii) we include a suppression factor in the spectrum of sound waves accounting for their finite lifetime; and, iv) we update the bound on $m_{\text{KK}}$ in view of the O3 LIGO and Virgo data. We find that the forthcoming gravitational wave interferometers can probe scenarios where $m_{\text{KK}}\lesssim 10^9$ TeV, while the O3-run bounds rule out warped models with $10^4\text{TeV}\lesssim m_{\text{KK}}\lesssim 10^7$ TeV exhibiting an extremely strong confinement/deconfinement phase transition.

arXiv comment16 pages, 7 figures; v2 extended version: added references and Figs. 2, 3, 5 and 7 (lower panels), Figs. 6 and 7 (upper panels) updated, extended discussion in Secs. 3.3, 4, 5 and 6. Talk given by E.Megias at the 9th International Conference on New Frontiers in Physics (ICNFP 2020), 4 Sep - 2 Oct 2020, Kolymbari, Crete, Greece

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Cited by in corpus (1)

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