A development of a compact software package for systematic error studies in muon $g-2$/EDM experiment at J-PARC

Abstract

The J-PARC muon $g-2$/EDM experiment aims to measure the muon magnetic moment anomaly $a_{\mu } = (g -2 ) / 2 ~$. The target sensitivity for $a_{\mu }$ is a statistical uncertainty of $450 \times 10^{-9}$, and $a_{\mu }$ can be extracted by measuring the spin precession of muons ($\omega _{\text {a}}$). The $\omega _{\text {a}}$ can be extracted from the distribution of muon decay time, and the time is measured by reconstructing tracks of positrons that are decayed from the muons. To extract $\omega _{\text {a}}$ precisely, the systematic effects on $\omega _{\text {a}}$ should be controlled under the aforementioned sensitivity. To study systematic effects, we develop a compact simulation package, and using our developed package, we study several systematic effects and discuss the results. We discuss the implementation details of the package and studies of systematic effects on $\omega _{\text {a}}$.