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arXiv · 1811.01755

Revisiting the Number-Theory Dark Matter Scenario and the Weak Gravity Conjecture

Kazunori Nakayama·Fuminobu Takahashi·Tsutomu T. Yanagida
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Abstract

We revisit the number-theory dark matter scenario where one of the light chiral fermions required by the anomaly cancellation conditions of U(1)_{B-L} explains dark matter. Focusing on some of the integer B-L charge assignments, we explore a new region of the parameter space where there appear two light fermions and the heavier one becomes a dark matter of mass O(10)keV or O(10)MeV. The dark matter radiatively decays into neutrino and photon, which can explain the tantalizing hint of the 3.55keV X-ray line excess. Interestingly, the other light fermion can erase the AdS vacuum around the neutrino mass scale in a compactification of the standard model to 3D. This will make the standard model consistent with the AdS-WGC statement that stable non-supersymmetric AdS vacua should be absent.

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Kazunori Nakayama, Fuminobu Takahashi, Tsutomu T. Yanagida. 2018-11-05. Revisiting the Number-Theory Dark Matter Scenario and the Weak Gravity Conjecture. https://doi.org/10.1016/j.physletb.2019.01.013

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