2023
DOI: 10.1007/jhep01(2023)013
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Joint statistics of cosmological constant and SUSY breaking in flux vacua with nilpotent Goldstino

Abstract: We obtain the joint distribution of the gravitino mass and the cosmological constant in KKLT and LVS models with anti-D3 brane uplifting described via the nilpotent goldstino formalism. Moduli stabilisation (of both complex structure and Kähler moduli) is incorporated so that we sample only over points corresponding to vacua. Our key inputs are the distributions of the flux superpotential, the string coupling and the hierarchies of warped throats. In the limit of zero cosmological constant, we find that both i… Show more

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Cited by 4 publications
(3 citation statements)
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“…This case is particularly interesting since it can lead to the correct abundance of super-heavy neutralinos with mass of order m DM ∼ M soft ∼ m 3/2 ∼ 10 10−11 GeV thanks to two effects: (i) the initial production of neutralinos from the inflaton decay is tiny since the inflaton decays mainly into hidden sector degrees of freedom due to the geometric separation between τ inf and τ SM ; (ii) the decay of the volume mode dilutes the neutralinos produced from the inflaton decay without being able to reproduce them since m τ big < m DM . Such a super-heavy dark matter candidate is particularly interesting since statistical studies of the supersymmetry breaking scale in the landscape seem to prefer higher scales of supersymmetry breaking [789,790] (see however the recent results obtained in [791]). Moreover, if exponentially suppressed R-parity violating couplings are induced by non-perturbative effects, the decay of a dark matter particle with m DM ∼ 10 10−11 GeV could explain the recent observation of ultra-high-energy neutrinos by ANITA [792,793].…”
Section: Dark Matter and The Interplay Between Inflation And Post-inf...mentioning
confidence: 99%
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“…This case is particularly interesting since it can lead to the correct abundance of super-heavy neutralinos with mass of order m DM ∼ M soft ∼ m 3/2 ∼ 10 10−11 GeV thanks to two effects: (i) the initial production of neutralinos from the inflaton decay is tiny since the inflaton decays mainly into hidden sector degrees of freedom due to the geometric separation between τ inf and τ SM ; (ii) the decay of the volume mode dilutes the neutralinos produced from the inflaton decay without being able to reproduce them since m τ big < m DM . Such a super-heavy dark matter candidate is particularly interesting since statistical studies of the supersymmetry breaking scale in the landscape seem to prefer higher scales of supersymmetry breaking [789,790] (see however the recent results obtained in [791]). Moreover, if exponentially suppressed R-parity violating couplings are induced by non-perturbative effects, the decay of a dark matter particle with m DM ∼ 10 10−11 GeV could explain the recent observation of ultra-high-energy neutrinos by ANITA [792,793].…”
Section: Dark Matter and The Interplay Between Inflation And Post-inf...mentioning
confidence: 99%
“…A recent development in this direction is the incorporation of Kähler moduli stabilisation, thereby ensuring that the sampling is only over the minima of the moduli potential (see e.g. [790,791] and references therein). Constructions with as many as 10 272 000 vacua have been proposed [834], while F-theory models of dark energy have been proposed in [835,836].…”
Section: The Anthropic Principle and The String Theory Landscapementioning
confidence: 99%
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