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arXiv · 2107.12804

Probing PeV scale SUSY-breaking with Satellite Galaxies and Primordial Gravitational Waves

Gongjun Choi·Ryusuke Jinno·Tsutomu T. Yanagida
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Abstract

We study an inevitable cosmological consequence in PeV scale SUSY-breaking scenarios. We focus on the SUSY-breaking scale corresponding to the gravitino mass $m_{3/2}=100{\rm eV}-1{\rm keV}$. We argue that the presence of an early matter-dominated era and the resulting entropy production are requisite for the Universe with this gravitino mass. We infer the model-independent minimum amount of the entropy production $Δ$ by requiring that the number of dwarf satellite galaxies $N_{\rm sat}$ in the Milky Way exceed the currently observed value, i.e. $N_{\rm sat}\gtrsim63$. This entropy production is inevitably imprinted on the primordial gravitational waves (pGWs) produced during the inflationary era. We study how the information on the value of $Δ$ and the time of entropy production are encoded in the pGW spectrum $Ω_{\rm GW}$. If the future GW surveys observe a suppression feature in the pGW spectrum for the frequency range $\mathcal{O}(10^{-10}){\rm Hz}\lesssim f_{\rm GW}\lesssim\mathcal{O}(10^{-5}){\rm Hz}$, it works as a smoking gun for PeV SUSY-breaking scenarios. Even if they do not, our study can be used to rule out all such scenarios.

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Gongjun Choi, Ryusuke Jinno, Tsutomu T. Yanagida. 2021-11-28. Probing PeV scale SUSY-breaking with Satellite Galaxies and Primordial Gravitational Waves. https://doi.org/10.1103/physrevd.104.095018

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