Kaluza-Klein FIMP dark matter in warped extra-dimensions

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Springer

Received: May 7, 2020 Accepted: August 25, 2020 Published: September 22, 2020

Nicol´ as Bernal,a Andrea Donini,b Miguel G. Folgadob and Nuria Riusb a

Centro de Investigaciones, Universidad Antonio Nari˜ no, Carrera 3 Este # 47A-15, Bogot´ a, Colombia b Instituto de F´ısica Corpuscular, Universidad de Valencia and CSIC, Edificio Institutos Investigaci´ on, Catedr´ atico Jose Beltr´ an 2, Paterna, 46980 Spain

E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We study for the first time the case in which Dark Matter (DM) is made of Feebly Interacting Massive Particles (FIMP) interacting just gravitationally with the standard model particles in an extra-dimensional Randall-Sundrum scenario. We assume that both the dark matter and the standard model are localized in the IR-brane and only interact via gravitational mediators, namely the graviton, the Kaluza-Klein gravitons and the radion. We found that in the early Universe DM could be generated via two main processes: the direct freeze-in and the sequential freeze-in. The regions where the observed DM relic abundance is produced are largely compatible with cosmological and collider bounds. Keywords: Beyond Standard Model, Cosmology of Theories beyond the SM ArXiv ePrint: 2004.14403

c The Authors. Open Access, Article funded by SCOAP3 .

https://doi.org/10.1007/JHEP09(2020)142

JHEP09(2020)142

Kaluza-Klein FIMP dark matter in warped extra-dimensions

Contents 1 Introduction

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2 Theoretical framework

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4 Conclusions

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A Kaluza-Klein decomposition in the Randall-Sundrum scenario

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B Radion Lagrangian

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C Relevant interaction rates C.1 Dark matter annihilation C.1.1 Through KK-gravitons C.1.2 Through a radion C.2 KK-graviton annihilation C.3 Radion annihilation C.4 KK-graviton decays C.5 Radion decays

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1

Introduction

The nature of Dark Matter (DM) and its interactions remain an open question in our effort to understand the Universe. Up to now, the only evidence about the existence of such dark component is via its gravitational effects. It could well be that DM has no other kind of interaction and, thus, it will be undetectable by current and future particle physics experiments. Moreover, in such a case the reheating temperature needs to be quite high (typically & 1016 GeV for DM mass of 10 TeV) in order to generate the observed DM relic abundance via a purely gravitational interaction [1–4], given the value of the Planck mass, mP ∼ 1019 GeV, which determines its strength. This is true, however, only if we live in a four-dimensional space-time: in extradimensional scenarios, the gravitational interaction may be enhanced, either because the fundamental Planck scale in D dimensions is mD  mP (as in the case of Large Extra

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JHEP09(2020)142

3 Dark matter production in the early universe 3.1 Direct freeze-in 3.2 Sequential freeze-in 3.2.1 Via annihilations 3.2.2 Via inverse decays 3.3 Beyond the sudden decay approximation of the inflaton

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