A New Approach for Measuring the Muon Anomalous Magnetic Moment and Electric Dipole Moment

This paper introduces a new approach to measure the muonmagnetic moment anomaly $a_{\mu} = (g-2)/2$, and the muon electric dipole moment(EDM) $d_{\mu}$ at the J-PARC muonfacility. The goal of our experiment is to measure $a_{\mu}$ and $d_{\mu}$ using an independent method with a factor of 10 lower muonmomentum, and a factor of 20 smaller diameter storage-ring solenoidcompared with previous and ongoing muon$g-2$ experiments with unprecedented quality of the storage magnetic field. Additional significant differences from the present experimental method include a factor of 1,000 smaller transverse emittance of the muonbeam (reaccelerated thermal muonbeam), its efficient vertical injection into the solenoid, and tracking each decay positron from muondecay to obtain its momentum vector. The precision goal for $a_{\mu}$ is statistical uncertainty of 450 part per billion (ppb), similar to the present experimental uncertainty, and a systematic uncertainty less than 70 ppb. The goal for EDM is a sensitivity of $1.5\times 10^{-21}~e\cdot\mbox{cm}$.