The tau lepton is a heavy cousin of the electron, living less than a trillionth of a second. It usually decays into lighter particles, but never directly into three muons: such a transition is forbidden by known laws of particle physics. If it did happen, it would mean unknown forces are at play.
The Standard Model, the best map of the microworld, predicts that the tau decay into three muons is practically impossible. But many theories that try to go beyond it allow this process with a probability accessible to observation. So searching for this decay is like checking whether there's a door in the wall where the map doesn't show one.
ATLAS physicists analyzed proton collision data at 13 TeV collected over three years. They looked for events where a W boson is produced, decaying into a tau and a neutrino, and the tau then turns into three muons. Special algorithms picked such events out of billions. In the end, no signal was found: the data are consistent with background.
The absence of the decay allowed setting a new limit: the probability of tau decay into three muons is less than 8.7×10⁻⁸: that is, less than once in 11 million tau decays. This is 20% stricter than the previous limit and provides a benchmark for future theories and experiments.
The tau lepton is 3500 times heavier than the electron and lives only 0.0000000000003 seconds.