Upper Limits on the Cosmic Neutrino Background from Cosmic Rays

Abstract

Extragalactic and galactic cosmic rays scatter with the cosmic neutrino background during propagation to Earth, yielding a flux of relic neutrinos boosted to larger energies. If an overdensity of relic neutrinos is present in galaxies, and neutrinos are massive enough, this flux might be detectable by high-energy neutrino experiments. For a lightest neutrino of mass $m_{\nu }\sim 0.1$ eV, we find an upper limit on the local relic neutrino overdensity of $\sim 10^{13}$ and an upper limit on the relic neutrino overdensity at TXS 0506+056 of $\sim 10^{10}$. Future experiments like GRAND or IceCube-Gen2 could improve these bounds by orders of magnitude.

Matches published version in PRD. Added comparison of experimentally measured neutrino-proton cross section with our analytical expression; added limits on CnuB overdensities from Galaxy clusters and the critical density of the Universe

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Cited by in corpus (7)

• Diffuse Boosted Cosmic Neutrino Background
• Impact of the cosmic neutrino background on black hole superradiance
• Probing Long-Range Forces Between Neutrinos with Cosmic Structures
• Neutron Stars as a Probe of Cosmic Neutrino Background
• Ultra High Energy Neutrino Event KM3-230213A as a Signal of Electroweak Vacuum Turbulence in Merging Black Hole Binaries
• Multi-messenger Astronomy with Quenched Superradiance
• High-Energy Neutrinos from Cosmic-Ray Scatterings with Supernova Neutrinos