
The probability that a particle decays via a specific channel, here measured as about 2.45 per 10,000 for eta-c to two photons.The branching fraction is a fundamental concept in particle physics that quantifies the probability that a given particle will decay through a specific decay channel. For example, if a particle has several possible decay modes, the branching fraction for each mode is the fraction of all decays that go through that particular channel. In the context of the η_c meson, the branching fraction for its decay into two photons is measured to be about 2.45 per 10,000, meaning that out of 10,000 η_c decays, roughly 2.45 will produce a photon pair. This number is not just a curiosity; it is a precise prediction of the Standard Model, and measuring it accurately can reveal discrepancies that point to new physics.
The concept of branching fractions has been used since the early days of nuclear and particle physics in the 20th century, with the term becoming standard in the 1950s and 1960s as particle accelerators began producing a variety of unstable particles. The specific measurement of the η_c → γγ branching fraction has been refined over decades, with recent results from experiments like BESIII and Belle II.
Branching fractions are determined experimentally by counting the number of decays into a specific final state and dividing by the total number of decays of the particle. This requires large datasets and careful accounting of detector efficiencies and backgrounds. Theoretically, branching fractions are calculated using quantum field theory, where the decay rate for each channel is computed from the matrix element of the interaction Hamiltonian. The sum of all branching fractions for a particle must equal 1, as it must decay via some channel. Precision measurements of branching fractions, especially for rare decays, are a key strategy in the search for physics beyond the Standard Model, as new particles can alter these rates through quantum loop effects.
Branching fractions are used in every particle physics experiment to compare theoretical predictions with observations, from measuring the Higgs boson's decay rates to searching for rare processes like neutrinoless double beta decay.
The branching fraction for the η_c → γγ decay is so small that it was only measured with high precision in the 21st century, using data from electron-positron colliders that produce millions of charmonium events.











