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Sandbox Physics
2026 NOBEL PRIZE IN PHYSICS

Super-Kamiokande: using the Earth as a baseline

The direction of atmospheric neutrinos carries information about how far they traveled. The resulting pattern tested much more than a low overall count.

  1. 01From above

    Short atmospheric baseline

  2. 02From below

    A journey through the Earth

  3. 03Compare

    Direction and energy together

Reading guide · a conceptual comparison, not a plot of experimental records.

THE QUESTION

Why would upward-going and downward-going events tell different stories?

An experiment illuminated from both sides

Cosmic rays striking the atmosphere produce secondary particles whose decays include neutrinos. Some neutrinos travel down to Super-Kamiokande in Japan from the atmosphere overhead. Others are produced on the opposite side of Earth and arrive from below after a much longer journey.

The detector does not need to move between two source distances. Arrival direction provides a range of baselines within the same instrument. This is not a claim that the true atmospheric flux is uniform: production, energy, geomagnetic effects, interaction cross sections and detector acceptance all matter. A predicted distribution must include them.

Sources: [1] · [2]

From water light to an event category

A neutrino interaction can produce a charged particle in the water. Its Cherenkov light reaches photomultiplier tubes on the tank walls. The spatial pattern and timing help reconstruct a vertex and direction; the pattern also helps distinguish electron-like from muon-like events.

The ring is evidence about a secondary charged particle, not a direct image of the incoming neutrino. Scattering kinematics and reconstruction uncertainty separate those directions, especially at lower energies. Real analyses use event classes and response simulations to connect what was recorded to the incident population.

Sources: [2] · [1]

The 1998 result was a pattern

The 1998 paper analyzed a 535-day exposure and found that the muon-neutrino deficit depended on zenith angle. The observations could not be explained by the experimental biases and atmospheric-flux uncertainties considered in the analysis. They were consistent with oscillations between muon and tau flavors.

Why is a shape powerful? An error in a common normalization may lower many bins together. A baseline-dependent effect changes different directions differently. Electron-like events and other control comparisons help test whether an apparent asymmetry is a broad detector problem. The result therefore asks more of an explanation than “the total count was smaller than expected.”

Sources: [1] · [3]

Distance and energy act together

In a two-flavor vacuum teaching model, the oscillation phase increases with distance and decreases with energy. Two neutrinos crossing the same distance can therefore have different survival probabilities. Averaging over a broad energy distribution and finite detector resolution can smooth an oscillating probability into a less dramatic observed deficit.

The equation below is a useful guide to the dependence, not the complete Super-K likelihood. The real inference combines event rates, energy and direction estimates, nuisance parameters and detector response. Three-flavor propagation and matter effects are needed for more complete descriptions.

Pμμ=1−sin⁡2(2θ)sin⁡2 ⁣(1.267 Δm2[eV2]L[km]E[GeV])P_{\mu\mu}=1-\sin^2(2\theta)\sin^2\!\left(1.267\,\frac{\Delta m^2[\mathrm{eV}^2]L[\mathrm{km}]}{E[\mathrm{GeV}]}\right)
Two-flavor vacuum approximation; the numerical conversion factor applies to the units shown. It is not a fit to the original dataset.

Sources: [3] · [1]

What was learned, and what remains separate

Flavor oscillation requires a mismatch between flavor and propagation states and a nonzero mass-squared difference. It establishes that not all neutrino masses vanish. It does not by itself fix the common absolute mass scale. This is why oscillation and beta-endpoint measurements answer related but different questions.

Use the Cherenkov Lab to understand the first step of the measurement chain. Tilt the particle and move its emission point; follow the detected light onto a defined surface. Then return to the zenith-angle argument: the physics conclusion concerns the distribution of reconstructed events, after acceptance and background corrections, rather than the appearance of a single ring.

Sources: [3] · [2]

Try the measurement

Primary sources & revision

  1. Super-Kamiokande Collaboration · Evidence for Oscillation of Atmospheric Neutrinos (1998)
  2. Kamioka Observatory · Super-Kamiokande detector
  3. Nobel Committee · Neutrino oscillations, scientific background (2015)

First published and source-checked on 9 October 2026. Original explanatory text and diagrams by Sandbox Physics. Illustrations are schematic; no experimental event records are reproduced here. This is an independent educational publication, not an official Nobel or experiment collaboration publication.

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