Constraining Feeble Neutrino Interactions with Ultralight Dark Matter

Kavli Affiliate: Gordan Krnjaic

| First 5 Authors: Abhish Dev, Gordan Krnjaic, Pedro Machado, Harikrishnan Ramani,

| Summary:

If ultralight $(ll$ eV), bosonic dark matter couples to right handed
neutrinos, active neutrino masses and mixing angles depend on the ambient dark
matter density. When the neutrino Majorana mass, induced by the dark matter
background, is small compared to the Dirac mass, neutrinos are "pseudo-Dirac"
fermions that undergo oscillations between nearly degenerate active and sterile
states.
We present a complete cosmological history for such a scenario and find
severe limits from a variety of terrestrial and cosmological observables. For
scalar masses in the "fuzzy" dark matter regime ($sim 10^{-20}$ eV), these
limits exclude couplings of order $10^{-30}$, corresponding to Yukawa
interactions comparable to the gravitational force between neutrinos and
surpassing equivalent limits on time variation in scalar-induced electron and
proton couplings.

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