The laws of physics rely on a framework called the Standard Model, a set of equations that has successfully predicted the behavior of subatomic particles for decades. However, recent findings from the Fermi National Accelerator Laboratory (Fermilab) suggest this rulebook may be incomplete. Experiments involving the muon, a heavy relative of the electron, show it behaving in ways that current physics cannot fully explain.
At the heart of this scientific mystery is the Muon g-2 experiment. Located in Batavia, Illinois, this experiment uses a massive, 50-foot-wide superconducting magnetic storage ring to study muons. The goal is to measure a specific property of the muon called its magnetic moment, essentially how much it wobbles as it spins in a magnetic field.
Physicists refer to this magnetic factor as “g.” According to classical theories, the value of g should be exactly 2. However, the quantum universe is messy. As muons travel through space, they interact with a “quantum foam” of virtual particles popping in and out of existence. These interactions cause the muon’s wobble to deviate slightly from 2. This deviation is known as “g minus 2” (g-2).
The Standard Model allows physicists to calculate exactly what this deviation should be by accounting for all known particles in the universe, such as photons, electrons, and quarks. If the experimental measurement of the wobble differs from the theoretical prediction, it implies that unknown particles or forces are interacting with the muon.
In August 2023, the Muon g-2 collaboration released their latest results. This analysis included data collected during 2019 and 2020, effectively quadrupling the amount of data from their initial 2021 announcement.
The precision of this new measurement is staggering. The uncertainty has been reduced to 0.20 parts per million. The experimental value for the muon’s magnetic anomaly was measured at 0.00116592055 (often shortened in scientific notation). This result confirms the 2021 findings but with much higher statistical confidence.
The experiment works by shooting a beam of muons into the storage ring. The ring contains a powerful magnetic field that keeps the particles moving in a circle. As the muons decay, they turn into positrons. By detecting where and when these positrons hit the detectors lining the ring, scientists can reconstruct the precise wobble of the original muons.
The tension arises when you compare the Fermilab number to the number predicted by the Standard Model. For years, the accepted theoretical calculation relied on a method called the “R-ratio,” which uses data from electron-positron collisions.
Using this traditional calculation, the Fermilab result differs significantly from the prediction. The difference stands at roughly 5 sigma. In particle physics, a 5-sigma result is the “gold standard” threshold for claiming a discovery. It indicates that there is a 1 in 3.5 million chance that the result is a statistical fluke.
If this discrepancy holds, it strongly suggests that the Standard Model is missing pieces. The “unknown forces” mentioned in reports could be:
While the experimental side has become incredibly precise, the theoretical side has become complicated. Just as Fermilab is refining the measurement, theoretical physicists are refining the prediction.
A collaboration known as Budapest-Marseille-Wuppertal (BMW) recently performed a calculation using a different method called “Lattice QCD.” This method uses massive supercomputers to simulate the strong nuclear force on a grid.
The BMW calculation produced a predicted value that is much closer to Fermilab’s experimental result. If the BMW calculation is correct, the discrepancy disappears, and the Standard Model is safe. However, this creates a new problem: the BMW calculation disagrees with the traditional “R-ratio” calculation.
Currently, physicists are in a unique position. They have a highly precise experiment, but the two main ways of calculating the theoretical expectation disagree with each other.
The scientific community is currently working to resolve the conflict between the two theoretical methods. Meanwhile, Fermilab is not finished. The August 2023 result only included the first three years of data. The experiment ran for a total of six years, concluding data collection in July 2023.
Scientists are now analyzing the final three years of data. When this analysis is complete, expected around 2025, the experimental uncertainty will be cut in half again.
Additionally, a separate experiment is being built at J-PARC in Japan. This facility will use a completely different method to measure the muon’s magnetic moment. If J-PARC confirms Fermilab’s numbers, it will provide undeniable experimental verification, forcing theorists to determine once and for all which prediction method is correct.
What is a muon? A muon is a subatomic particle that is similar to an electron but roughly 200 times heavier. Unlike electrons, muons are unstable and decay into other particles in just 2.2 microseconds.
Why does the muon wobble matter? The rate of the wobble is determined by the particles the muon interacts with. If it wobbles faster than the Standard Model predicts, it means it is interacting with matter or forces that physics has not yet discovered.
Has the Standard Model been broken? Not officially. While the experimental result is very strong (5 sigma confidence against the traditional theory), the disagreement between theoretical calculation methods (R-ratio vs. Lattice QCD) prevents physicists from declaring the Standard Model broken just yet.
Where is the experiment located? The experiment takes place at Fermilab in Batavia, Illinois. Interestingly, the giant magnetic ring used in the experiment was originally built at Brookhaven National Laboratory in New York and was transported by barge and truck to Illinois in 2013.