Abstract
The Fermilab Muon g−2 experiment is currently preparing for its fourth datataking period (Run-4). The experiment-wide effort on the analysis of Run-1 data is nearing completion, with the announcement of the first result expected in the coming months. The final goal of the experiment is to determine the muon magnetic anomaly, aµ = g−2 2 , to a precision of 140 ppb. This level of precision will provide indirect evidence of new physics, if the central value agrees with the previously-measured value of aµ. Essential in reducing the systematic uncertainty on aµ, through measurements of the muon beam profile, are the in-vacuum straw tracking detectors. A crucial prerequisite in obtaining accurate distributions of the beam profile is the internal alignment of the tracking detectors, which is described in this thesis. As a result of this position calibration, the tracking efficiency has increased by 3%, while the track quality increased by 4%. This thesis also discusses an additional measurement that will be made using the tracking detectors: a search for an electric dipole moment (EDM) of the muon, through the direct detection of an oscillation in the average vertical angle of the e + from the µ + decay. An observation of a muon EDM would be evidence of new physics and would provide a new source of CP violation in the charged lepton sector. Essential in measuring the EDM, as well as aµ, are accurate and precise estimations of potential non-zero radial and longitudinal magnetic fields, which were estimated using the Run-1 data. In addition, a preliminary analysis using the Run-1 data was undertaken to estimate the available precision for the aµ measurement using the tracking detectors.
Highlights
Despite many successes of the current theoretical framework, the Standard Model (SM), that describes known fundamental particles and their interactions, there exist several unexplained phenomena in physics that motivate searches for new particles or forces
The analyses presented in this chapter - measurements of Bx and Bz using the tracking detectors - were not attempted at the Brookhaven National Laboratory (BNL) experiment
Essential in reducing the systematic uncertainty on the measurement of ωa are the straw tracking detectors, which perform track extrapolation backwards to the muon decay point and forwards to the calorimeters. Systematic effects, such as the vertical pitch, require a correction that is accessible via a measurement of the vertical width of the beam by the tracking detectors
Summary
Despite many successes of the current theoretical framework, the Standard Model (SM), that describes known fundamental particles and their interactions, there exist several unexplained phenomena in physics that motivate searches for new particles or forces. Many experiments are trying to discover signs of new physics One such project is the Fermilab Muon g − 2 experiment, which will provide a stringent test of the SM through a precise comparison of the theoretical prediction with an experimentally measured value. It is imperative, for the beam measurements made with the tracking detectors, to have an estimate of the systematic uncertainty that comes from an internally misaligned detector. A high-precision internal alignment of the tracking system is motivated by the need to minimise the uncertainty on the extrapolated beam position. This is illustrated, which highlights that even a relatively small-scale misalignment can have a large impact on the extrapolated radial beam position.
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