Independent paper

The Particles That Change Their Minds: Neutrino Oscillations and the Fall of a Massless Assumption

How three underground experiments — Homestake, Super-Kamiokande, and Sudbury — proved that neutrinos change flavour in flight, forcing them to carry mass and opening the first real crack in the Standard Model.

  • Physics
  • Particle Physics
  • Astrophysics

Pauli proposed it as an apology and called it undetectable. Three underground experiments and one Nobel Prize later, the neutrino had quietly broken the Standard Model.

For most of the twentieth century the neutrino was the particle physicists were happiest to ignore. Wolfgang Pauli invented it in 1930 as a bookkeeping trick, a way to balance the energy that seemed to vanish in radioactive beta decay, and he apologized for it, saying he had done a terrible thing by proposing a particle that could never be detected. It was detected, in 1956, and it turned out to be almost as elusive as feared. Neutrinos carry no electric charge, barely interact with anything, and pass through the Earth as if it were empty. The Standard Model of particle physics, assembled in the 1960s and 1970s, gave them a tidy role and one definite property: they had no mass. That last point was an assumption rather than a measurement, and it was wrong. Working out how we know it was wrong is one of the better detective stories in modern physics.

The first clue came from the Sun. Nuclear fusion in the solar core should produce a flood of electron neutrinos, and in the 1960s Raymond Davis built a detector to catch them, a tank holding 100,000 gallons of cleaning fluid deep in the Homestake gold mine in South Dakota. John Bahcall did the theoretical work, calculating how many neutrinos the Sun ought to send us. The two numbers did not match. Davis kept finding only about a third of the neutrinos Bahcall predicted. This was the solar neutrino problem, and it sat unresolved for three decades. Either the experiment was wrong, or the solar model was wrong, or something happened to the neutrinos on the way.

The third option had been floated as early as 1957 by Bruno Pontecorvo, who suggested that neutrinos might change from one type into another in flight. Neutrinos come in three flavors, tied to the three charged leptons: electron, muon, and tau. Davis’s detector could only see electron neutrinos. If the electron neutrinos leaving the Sun were turning into muon or tau neutrinos before they arrived, a detector blind to those flavors would naturally count too few. The idea was elegant, but proving it needed experiments that did not yet exist.

They arrived at the turn of the millennium, and both were built underground to shield them from cosmic rays. Super-Kamiokande, in a Japanese mine, watched neutrinos produced when cosmic rays strike the upper atmosphere. These come in a known ratio of muon to electron flavors, and crucially the detector could compare neutrinos arriving from the sky above with those coming up through the entire Earth, which had traveled much farther. In 1998 the Super-Kamiokande team, led by Takaaki Kajita, reported that muon neutrinos coming the long way through the Earth were disappearing. The deficit depended on how far they had traveled, which is exactly the signature of oscillation. Something was happening over distance.

The solar case was nailed down a few years later in Canada. The Sudbury Neutrino Observatory used 1,000 tonnes of heavy water, which let it do something Davis could not: count all three neutrino flavors together as well as electron neutrinos alone. If the missing solar electron neutrinos had genuinely vanished, the total would also fall short. If they had merely changed flavor, the total would match Bahcall’s prediction even though the electron-flavor count did not. In 2001 and 2002 the SNO team, led by Arthur McDonald, showed that the total flux was right on the money. The neutrinos were not disappearing. They were arriving in disguise. The solar model had been correct all along, and so had Davis.

Why does this force neutrinos to have mass? The reason lies in quantum mechanics. A neutrino is produced and detected as a flavor, but it travels as a combination of three “mass states,” each with a slightly different mass and therefore a slightly different quantum phase that advances at its own rate as the particle moves. Because the flavors are mixtures of these mass states, the relative phases drift as the neutrino travels, and the particle that started as one flavor can be measured later as another. The whole effect hinges on the mass states being different from each other. If all three masses were zero, or even just equal, the phases would stay locked together and no oscillation could happen. Oscillation is observed, so the masses must differ, so at least two of them cannot be zero. The massless neutrino was finished.

The numbers that come out of this work are strange. Oscillation experiments measure differences between the squared masses, not the masses themselves, and those differences are tiny: roughly 0.0000075 electron-volts squared for one pairing and about 0.0025 for the other. To put that in context, the next-lightest particle, the electron, has a mass of around half a million electron-volts. Neutrinos are at least a million times lighter than that, perhaps far more, and we still do not know their absolute masses, only that they are not zero. We also do not yet know the ordering of the three masses, the so-called mass hierarchy, which remains an open question that newer experiments are built to settle.

Kajita and McDonald shared the 2015 Nobel Prize in Physics for the discovery, and the citation made the stakes plain. This was the first solid evidence of physics beyond the Standard Model. The model can be patched to give neutrinos mass, but the patch raises questions it cannot answer on its own. Why are neutrino masses so absurdly small compared with every other particle? One popular idea, the seesaw mechanism, links the lightness of the neutrinos we see to the existence of very heavy partners we have not seen, but that is theory waiting on evidence. There is also the question of whether neutrinos and antineutrinos oscillate in exactly the same way. If they do not, that difference could help explain why the universe is made of matter rather than equal parts matter and antimatter, a question that the existence of anything at all depends on. Experiments in Japan and the United States are now chasing that asymmetry.

It is worth stepping back to appreciate the shape of this result. A particle that Pauli thought might never be seen has turned out to be a probe of the deepest open problems in physics. The neutrinos streaming from the Sun, about 65 billion of them crossing every square centimeter of your skin each second, are quietly demonstrating that the textbook was incomplete. They change flavor as they fly, they carry mass that the Standard Model did not predict, and they may hold a clue to why the universe avoided annihilating itself in its first instant. For a particle invented as an accounting fix, that is a remarkable second career.

The lesson cuts against instinct: the particle easiest to ignore turned out to be the one still guarding the open doors of physics.

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  2. Fukuda, Y., et al. (Super-Kamiokande Collaboration) (1998). Evidence for oscillation of atmospheric neutrinos. Physical Review Letters, 81(8), 1562–1567.
  3. Ahmad, Q. R., et al. (SNO Collaboration) (2002). Direct evidence for neutrino flavor transformation from neutral-current interactions in the Sudbury Neutrino Observatory. Physical Review Letters, 89(1), 011301.
  4. Pontecorvo, B. (1968). Neutrino experiments and the problem of conservation of leptonic charge. Soviet Physics JETP, 26, 984–988.
  5. The Royal Swedish Academy of Sciences (2015). Scientific Background on the Nobel Prize in Physics 2015: Neutrino oscillations.