• g-2
• a_mu
• Fermilab
• particle physics
• beam dynamics

The first measurement, from E989 Muon g-2 Experiment, of the muon anomaly has been presented to the scientific community on April 7, 2021: the E989 experiment has reached a precision of 465 parts per billion (ppb).
In the E989 experiment, positive muons are injected into a 14m diameter storage ring. Due to the magnetic field, both muon’s spin and momentum vectors precede. At first order, the difference between the spin frequency and the cyclotron frequency is called “anomalous precession frequency” ω_a.
The Thesis describes how ω_a is measured. In particular I will show the analysis that I have carried out on two specific systematic effects due to beam dynamics. One of these effects is related to the laser calibration system, used for the time calibration of the calorimeters. One of the tasks of the Laser Calibration System is to determine the relative time synchronization among the SiPMs. I will describe how I obtained an independent values of the time constants.
The second effect is related to the kicker system. The kickers induces eddy currents that produce a magnetic field that falls well into the ω_a analysis region. This spurious field modifies the main dipole field, thus modifying the measured ω_a. I will describe how this field can be measured by a Faraday Magnetometer which I have contributed to build and characterize at the Istituto Nazionale di Ottica (INO), and I will show the first results of this system with the data taken during this September.