Probing PeV scale SUSY-breaking with Satellite Galaxies and Primordial Gravitational Waves. (arXiv:2107.12804v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Choi_G/0/1/0/all/0/1">Gongjun Choi</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Jinno_R/0/1/0/all/0/1">Ryusuke Jinno</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Yanagida_T/0/1/0/all/0/1">Tsutomu T. Yanagida</a>

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 $Delta$ 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 $Delta$ and the
time of entropy production are encoded in the pGW spectrum $Omega_{rm GW}$.
If the future GW surveys observe a suppression feature in the pGW spectrum for
the frequency range $mathcal{O}(10^{-10}){rm Hz}lesssim f_{rm
GW}lesssimmathcal{O}(10^{-5}){rm Hz}$, 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.

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 $Delta$ 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 $Delta$ and the
time of entropy production are encoded in the pGW spectrum $Omega_{rm GW}$.
If the future GW surveys observe a suppression feature in the pGW spectrum for
the frequency range $mathcal{O}(10^{-10}){rm Hz}lesssim f_{rm
GW}lesssimmathcal{O}(10^{-5}){rm Hz}$, 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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