Mind the gap on Icecube: Cosmic neutrino spectrum and muon anomalous magnetic moment in the gauged L_μ - L_τ model

Abstract

The energy spectrum of cosmic neutrinos, which was recently reported by the IceCube collaboration, shows a gap between 400 TeV and 1 PeV. An unknown neutrino interaction mediated by a field with a mass of the MeV scale is one of the possible solutions to this gap. We examine if the leptonic gauge interaction L_μ - L_τ can simultaneously explain the two phenomena in the lepton sector: the gap in the cosmic neutrino spectrum and the unsettled disagreement in muon anomalous magnetic moment. We illustrate that there remains the regions in the model parameter space, which account for both the problems. Our results also provide a hint for the distance to the source of the high-energy cosmic neutrinos.

5 pages,7 figures: v2; references added, z dependence of cosmic neutrino energy included, conclusion unchanged

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• Snowmass White Paper: Beyond the Standard Model effects on Neutrino Flavor
• Probing decaying heavy dark matter with the 4-year IceCube HESE data
• Predictions from scoto-seesaw with $A_4$ modular symmetry
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• High-energy cosmic neutrinos as a probe of the vector mediator scenario in light of the muon $g-2$ anomaly and Hubble tension
• Resolving the Hubble tension in a U(1)${}_{L_{\mu }-L_{\tau }}$ model with Majoron
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• Probing Neutrino Mass Models through Resonances at Neutrino Telescopes
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• Prospects for a flavour violating $Z^{\prime }$ explanation of $\Delta a_{\mu ,e}$
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• Search for Lepton Flavor Violating Decay at FASER
• Time-delayed neutrino emission from supernovae as a probe of dark matter-neutrino interactions
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• Unification of L${}_{\mu }$-L${}_{\tau }$ and the standard model gauge group
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• Comparison of Geometrical Layouts for Next-Generation Large-volume Cherenkov Neutrino Telescopes
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