Small neutrino masses from gravitational $\theta$-term

Abstract

We present how a neutrino condensate and small neutrino masses emerge from a topological formulation of gravitational anomaly. We first recapitulate how a gravitational $\theta$-term leads to the emergence of a new bound neutrino state analogous to the ${\eta }^{\prime }$ meson of QCD. Then we show the consequent formation of a neutrino vacuum condensate, which effectively generates small neutrino masses. Afterwards we outline several phenomenological consequences of our neutrino mass generation model. The cosmological neutrino mass bound vanishes since we predict the neutrinos to be massless until the phase transition in the late Universe, $T\sim \mathrm{meV}$. Deviations from an equal flavor rate due to enhanced neutrino decays in extraterrestrial neutrino fluxes can be observed in future IceCube data. The current cosmological neutrino background only consists of the lightest neutrinos, which, due to enhanced neutrino-neutrino interactions, either bind up, form a superfluid, or completely annihilate into massless bosons. Strongly coupled relic neutrinos could provide a contribution to cold dark matter in the late Universe, together with the new proposed particles and topological defects, which may have formed during neutrino condensation. These enhanced interactions could also be a source of relic neutrino clustering in our Galaxy, which possibly makes the overdense cosmic neutrino background detectable in the KATRIN experiment. The neutrino condensate provides a mass for the hypothetical $B-L$ gauge boson, leading to a gravity-competing force detectable in short-distance measurements. Gravitational waves detections have the potential to probe our neutrino mass generation mechanism.

14 pages, one figure. V4: discussions on invalid cosmological neutrino mass bound and gravitational waves clarified

References in corpus (12)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Flavor Ratio of Astrophysical Neutrinos above 35 TeV in IceCube
• Status of Oscillation plus Decay of Atmospheric and Long-Baseline Neutrinos
• Neutrino Decays over Cosmological Distances and the Implications for Neutrino Telescopes
• On the flavor composition of the high-energy neutrino events in IceCube
• Constraints on neutrino decay lifetime using long-baseline charged and neutral current data
• Are cosmological neutrinos free-streaming?
• Inflation might be caused by the right
• Gravity triggered neutrino condensates
• Experimental signatures of cosmological neutrino condensation

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