Beam Dynamics Characterization and Uncertainties in the Muon g-2 Experiment at Fermilab
AbstractThe first measurement of the positive muon magnetic anomaly,
aμ ≡ (gμ−2)/2, from
the Fermi National Accelerator Laboratory (Fermilab) Muon g-2 Experiment (E989) yielded
an experimental relative uncertainty of 0.46 ppm, which combined with the previous
measurement from the Brookhaven National Laboratory (BNL) Muon g-2 Experiment (E821)
differs from the current Standard Model (SM) prediction by 4.2 standard deviations. In
contrast to E821, the goal of the experiment at Fermilab is to deliver a measurement of
the anomaly to a precision of 0.14 ppm or less in order to reach more than 5σ discrepancy
with the SM and, therefore, strongly establish evidence for new physics. In view of this
stringent determination, a thorough description of the delivery, storage, and dynamics of
the detected muon beam sets the stage for constraining beam-dynamics driven effects to the
muon magnetic anomaly at the ppb level. To that extent, this dissertation introduces the
background, principles, and beam requirements of E989; elaborates data-driven numerical
models of the Beam Delivery System and Muon g-2 Storage Ring at Fermilab; characterizes
the linear and nonlinear dynamics of the muon beam in the storage ring; and describes the
contributions to the quantification of the largest beam-dynamics systematic corrections and
their uncertainties in the experiment derived from this work.
D. A. Tarazona (2021)
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