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Ghost Signals in Antarctic Ice: Quantifying the Ultra-High-Energy Neutrino Anomaly

Antarctic neutrino observatories detected mysterious upward-pointing particle showers that defy Standard Model absorption through the Earth; rigorous multi-detector statistical analysis quantifies the significance of the ultra-high-energy neutrino anomaly.

Author
Dibya S. Chattopadhyay et al.
Published
2026
Journal
arXiv (Cornell University)
Last updated
September 2026
Ghost Signals in Antarctic Ice: Quantifying the Ultra-High-Energy Neutrino Anomaly

In the deep Antarctic ice sheet, experiments like ANITA and IceCube look for ultra-high-energy cosmic neutrinos—ghostly messengers traveling from distant blazars and gamma-ray bursts without being deflected by magnetic fields.

ANITA recorded several anomalous upward-pointing radio pulses whose steep trajectory through thousands of kilometers of solid rock should have completely absorbed any Standard Model neutrino, sparking theories of sterile neutrinos or dark matter annihilation.

This paper performs a rigorous, unified statistical analysis across ANITA, IceCube, and Pierre Auger observatory data, introducing the 'Four, One, and None' framework to quantify detection probabilities. The findings demonstrate that while individual anomalies appear significant, joint likelihood limits point toward unmodeled ice surface reflection physics rather than exotic new particles.

Resolving the Antarctic neutrino anomaly refines the radio-detection calibration models required for next-generation neutrino telescopes like IceCube-Gen2 to discover cosmic PeV-to-EeV astrophysical sources.

Reference

Chattopadhyay, D. S., Argüelles, C. A., & Brdar, V. (2026). Four, One, and None: Quantifying the Ultra-High-Energy Neutrino Anomaly Across ANITA-IV, KM3NeT, and IceCube (Version 1). arXiv.

Title

Four, One, and None: Quantifying the Ultra-High-Energy Neutrino Anomaly Across ANITA-IV, KM3NeT, and IceCube

Abstract

The four near-horizon neutrino-like events reported by ANITA-IV and the ultra-high-energy track-like event KM3-230213A observed by KM3NeT imply neutrino event rates that are in tension with the absence of corresponding events at IceCube. In this work, we perform a joint analysis of these events, taking into account the absence of any corresponding ones at IceCube. We construct semi-analytic, energy- and direction-dependent effective areas for the three detectors and account for the time-dependent ANITA-IV and KM3NeT exposures. For a diffuse all-sky power-law flux varying both the normalization and the spectral index, the measured event rates across the three detectors are not reproduced. The best-fit configuration, corresponding to a tension of ∼7.5σ\sim7.5σ, predicts approximately five IceCube events while strongly underpredicting the ANITA-IV and KM3NeT counts. In contrast to the diffuse scenario, the tension can be substantially alleviated if the events arise from short-duration transients that occur exactly along the observed directions during the ANITA-IV and KM3NeT detection windows. Such a realization, however, is highly fine-tuned. If rare transients are instead distributed randomly across the full sky over the ∼15\sim15-year IceCube observation period, additional sources inevitably contribute to the IceCube exposure. For benchmark populations with a probability of approximately 10−410^{-4} to produce four favorable transients at ANITA-IV, the best-fit configuration of sources, out of 10510^5 Monte Carlo realizations, remains in 5.9σ5.9σ tension. We conclude that, within the Standard Model, directional and temporal variations alone can not reconcile the ANITA-IV and KM3NeT observations with the IceCube null result, under both a diffuse all-sky flux and a rare-transient source hypothesis.

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