High-energy cosmic neutrinos as a probe of the vector mediator scenario in light of the muon g-2 anomaly and Hubble tension

In light of the recent muon g - 2 experiment data from Fermilab, we investigate the implications of a gauged L mu - L tau model for high energy neutrino telescopes. It has been suggested that a new gauge boson at the MeV scale can both account for the muon g - 2 data and alleviate the tension in the Hubble parameter measurements. It also strikes signals at IceCube from the predicted resonance scattering between highenergy neutrinos and the cosmic neutrino background. We revisit this model based on the latest IceCube shower data, and perform a four-parameter fit to find a preferred region. We do not find evidence for secret interactions. The best-fit points of mZ' and g mu tau are similar to 10 MeV and similar to 0.1, respectively, depending on assumptions regarding the absolute neutrino masses, and the secret interaction parameter space allowed by the observed IceCube data overlaps with the regions of the parameter space that can explain the muon g - 2 anomaly and Hubble tension as well. We demonstrate that future neutrino telescopes such as IceCube-Gen2 can probe this unique parameter space, and point out that successful measurements would infer the neutrino mass with 0.06 eV < sigma m nu < 0.3 eV.

Automated summary

Based on the recent muon g-2 experiment data, we investigate the implications of a gauged Lμ-Lτ model for high energy neutrino telescopes. The model suggests that a new gauge boson at the MeV scale can explain the muon g-2 data and alleviate the tension in Hubble parameter measurements. We find that the observed IceCube data overlaps with the parameter space that can explain the muon g-2 anomaly and Hubble tension, and future neutrino telescopes like IceCube-Gen2 can probe this unique parameter space, providing important information on the neutrino mass.