Resonant Neutrino Flavor Conversion in the Atmosphere
Authors
Connor Sponsler, Matheus Hostert, Ivan Martinez-Soler, Carlos A. Argüelles
Abstract
Neutrinos produced in the atmosphere traverse a column density of air before being detected at neutrino observatories like IceCube or KM3NeT. In this work, we extend the neutrino flavor evolution in the {nuSQuIDS} code accounting for the varying height of neutrino production and the variable air density in the atmosphere. These effects can lead to sizeable spectral distortions in standard neutrino oscillations and are crucial to accurately describe some new physics scenarios. As an example, we study a model of quasi-sterile neutrinos that induce resonant flavor conversions at neutrino energies of ${O}(300)\text{ MeV}$ in matter densities of $1 \text{ g/cm}^3$. In atmospheric air densities, the same resonance is then realized at neutrino energies of ${O}(300- 700)$~GeV. We find that the new resonance can deplete the $ν_μ+ \overlineν_μ$ flux at the IceCube Neutrino Observatory by as much as $10\%$ in the direction of the horizon.
Concepts
The Big Picture
Imagine shining a flashlight through a fog bank. The light that reaches you isn’t quite what went in: the fog has scattered, filtered, and changed it. Now replace the flashlight with a particle accelerator, the fog with Earth’s atmosphere, and the light with neutrinos, subatomic particles that barely interact with ordinary matter. What you get is one of the strangest transformations in physics: neutrinos literally changing identity as they travel.
This is neutrino oscillation. Neutrinos come in three “flavors” (electron, muon, and tau), and quantum mechanics allows them to switch between these identities as they travel through space or matter.
When matter is involved, the switching can become resonant, locked into a feedback loop that amplifies the conversion rate. Think of a tuning fork vibrating most powerfully at exactly the right frequency. This phenomenon, the Mikheev-Smirnov-Wolfenstein (MSW) effect, explains why neutrinos streaming from the Sun arrive at Earth having swapped flavor.
A group of physicists has now applied this physics to a new setting. Earth’s atmosphere, the thin shell of air clinging to our planet, can act as a resonance chamber for exotic neutrino flavor conversion. The predicted result: a detectable dip in the rate of muon-type neutrinos arriving at IceCube.
Key Insight: If a new type of neutrino resonance occurs at ~300 MeV in dense laboratory matter, the same resonance will appear at ~300–700 GeV in the low-density air of Earth’s atmosphere, and IceCube could see it as a 10% dip in the muon neutrino flux near the horizon.
How It Works
Cosmic rays, high-energy protons and nuclei raining down from space, slam into atmospheric nuclei and produce a shower of short-lived particles called pions and kaons. These decay into muon neutrinos. The neutrinos aren’t produced at a single altitude but spread across a range of heights, roughly 10 to 40 kilometers above the surface.

That spread matters more than previous treatments had assumed. The team upgraded nuSQuIDS (Neutrino Simple Quantum Integro-Differential Solver), a publicly available code for computing neutrino flavor evolution, to model the atmosphere as a proper three-dimensional spherical shell rather than an infinitely thin surface. When you track neutrinos produced at different heights traveling through air of varying density, the conversion probabilities shift and smear in ways that turn out to be observationally significant.

The real payoff comes with quasi-sterile neutrinos, hypothetical particles immune to the weak nuclear force but still capable of affecting ordinary matter through some undiscovered interaction. The physics works like this:
- In dense laboratory matter (~1 g/cm³), quasi-sterile neutrinos would induce resonant flavor conversion at energies around 300 MeV.
- Resonant conversion depends on the ratio of neutrino energy to background matter density. The atmosphere is roughly 1,000 times less dense than liquid water.
- Scale up the energy to compensate for lower density, and the same resonance reappears at 300–700 GeV in atmospheric air.
But does the resonance actually survive the journey? The atmosphere isn’t uniform. It’s warm and dense at low altitudes, thin and cold higher up. For a resonance to fully develop, it must remain narrow enough not to wash out, and neutrinos must be produced at high enough altitudes to traverse the resonance region. Both conditions hold, but only for neutrinos arriving from near the horizon, not from directly overhead or below.
Why It Matters
The upgraded nuSQuIDS code is, to the authors’ knowledge, the first neutrino flavor evolution tool that properly accounts for the extended geometry of the atmosphere. Even for ordinary three-neutrino oscillations, ignoring the height distribution of neutrino production introduces errors. Those corrections become essential when searching for new physics, and future atmospheric neutrino analyses should incorporate them.
The work also connects to long-standing anomalies. Experiments like MiniBooNE and LSST have observed hints of muon-to-electron neutrino conversions at short distances that the standard three-neutrino picture cannot explain. Quasi-sterile neutrinos are one class of proposed solutions.
IceCube, the world’s largest neutrino detector buried in a cubic kilometer of Antarctic ice, can test these models independently. The signature is a 10% deficit in the muon neutrino flux along the horizon, with a distinctive angular pattern that conventional physics would struggle to reproduce.
This search would complement existing sterile neutrino searches at IceCube rather than duplicate them. Those look for neutrinos coming up through the Earth, where the planet’s core provides the dense matter needed for resonance. The new search looks sideways, along the horizon, where the atmosphere provides the resonance. Different geometry, different energy scale, different sensitivity to new physics.
Bottom Line: By upgrading neutrino simulation software to treat the atmosphere as the extended, varying-density shell it actually is, this team showed that exotic neutrino physics visible at short-baseline accelerator experiments would leave a distinctive 10% dip in the GeV-to-TeV muon neutrino flux at IceCube, providing a new geometric handle on some of particle physics’ most persistent anomalies.
IAIFI Research Highlights
This work ties together computational particle physics and observational neutrino astronomy, upgrading open-source simulation tools (nuSQuIDS) to link short-baseline laboratory anomalies to signals in a cubic-kilometer Antarctic ice detector.
The improved nuSQuIDS framework could provide more accurate training data and likelihood calculations for machine-learning-based neutrino event classification and new-physics inference at IceCube and KM3NeT.
The atmospheric air column acts as a resonance chamber for quasi-sterile neutrino conversion at 300–700 GeV, offering a geometry-distinct probe of beyond-Standard-Model neutrino interactions motivated by the MiniBooNE and LSND anomalies.
Future work can implement this framework in full IceCube likelihood analyses to set constraints on, or discover, quasi-sterile neutrino mixing; the study is available at [arXiv:2405.12140](https://arxiv.org/abs/2405.12140).
Original Paper Details
Resonant Neutrino Flavor Conversion in the Atmosphere
2405.12140
Connor Sponsler, Matheus Hostert, Ivan Martinez-Soler, Carlos A. Argüelles
Neutrinos produced in the atmosphere traverse a column density of air before being detected at neutrino observatories like IceCube or KM3NeT. In this work, we extend the neutrino flavor evolution in the {nuSQuIDS} code accounting for the varying height of neutrino production and the variable air density in the atmosphere. These effects can lead to sizeable spectral distortions in standard neutrino oscillations and are crucial to accurately describe some new physics scenarios. As an example, we study a model of quasi-sterile neutrinos that induce resonant flavor conversions at neutrino energies of ${O}(300)\text{ MeV}$ in matter densities of $1 \text{ g/cm}^3$. In atmospheric air densities, the same resonance is then realized at neutrino energies of ${O}(300- 700)$~GeV. We find that the new resonance can deplete the $ν_μ+ \overlineν_μ$ flux at the IceCube Neutrino Observatory by as much as $10\%$ in the direction of the horizon.