Present Status of Spectroscopy of the Hyperfine Structure and Repolarization of Muonic Helium Atoms at J-PARC

The mass m mu- of the negative muon is one of the parameters of the elementary particle Standard Model and it allows us to verify the CPT (charge-parity-time) symmetry theorem by comparing m mu- value with the mass m mu+ of the positive muon. However, the experimental determination precision of m mu- is 3.1ppm, which is an order of magnitude lower than the determination precision of m mu+ at 120ppb. The authors aim to determine m mu- and the magnetic moment mu mu- with a precision of O(10ppb) through spectroscopy of the hyperfine structure (HFS) of muonic helium-4 atom (4He mu-e-) under high magnetic fields. He4 mu-e- is an exotic atom where one of the two electrons of the He4 atom is replaced by a negative muon. To achieve the goal, it is necessary to determine the HFS of He4 mu-e- with a precision of O(1ppb). This paper describes the determination procedure of the HFS of He4 mu-e- in weak magnetic fields reported recently, and the work towards achieving the goal of higher precision measurement.